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Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Lehrstuhl Wissenschaftliches Rechnen > CLehrstuhl Wissenschaftliches Rechnen - Univ.-Prof. Dr. Mario Bebendorf

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Number of items at this level: 153.

2019

Chudej, Kurt ; Albrecht, Gaby ; Wessely, Anja ; Fischer, Anne:
Mathematische Modellierung und Numerische Simulation gefährlicher Krankheiten.
2019
Event: Kolloquium des Instituts für Mathematik und Informatik, Universität Greifswald , 15.10.2019 , Greifswald, Deutschland.
(Conference item: Lecture series , Speech )

Fischer, Anne ; Chudej, Kurt ; Pesch, Hans Josef:
Optimal vaccination and control strategies against dengue.
In: Mathematical Methods in the Applied Sciences. Vol. 42 (15 July 2019) Issue 10 . - pp. 3496-3507.
DOI: https://doi.org/10.1002/mma.5594

Bauer, Maximilian:
Low-rank Approximations for Discretised Boundary Integral Operators via an Adaptive Matrix-Vector Multiplication Scheme.
2019
Event: Joint Workshop Kinetics & BEM on the Saar , 4.-7.6.2019 , Saarbrücken, Deutschland.
(Conference item: Workshop , Speech )

Jende, Lucas:
Analyse und Simulation von gefährlichen Krankheiten.
Bayreuth , 2019
(Master's, 2019 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl für Wissenschaftliches Rechnen)

Bauer, Maximilian ; Bebendorf, Mario:
The Coupling of low-rank Approximations with the Solution Process for discretised Boundary Integral Equations.
2019
Event: International Conference on Scientific Computation and Differential Equations (SciCADE 2019) , 22.-26.7.2019 , Innsbruck, Österreich.
(Conference item: Conference , Speech )

Reuter, Balthasar ; Rupp, Andreas ; Aizinger, Vadym ; Knabner, Peter:
Discontinuous Galerkin method for coupling hydrostatic free surface flows to saturated subsurface systems.
In: Computers & Mathematics with Applications. Vol. 77 (2019) Issue 9 . - pp. 2291-2309.
DOI: https://doi.org/10.1016/j.camwa.2018.12.020

Feist, Bernd:
Fractional Laplacian - Approximation of the dense FEM stiffness matrix by uniform H-matrices.
2019
Event: 17. Workshop on Fast Boundary Element Methods in Industrial Applications , 3.-6.10.2019 , Hirschegg, Österreich.
(Conference item: Workshop , Speech )

Feist, Bernd ; Bebendorf, Mario:
Fractional Laplacian : Approximation of the Dense FEM Stiffnessmatrix by H-Matrices.
2019
Event: International Conference on Scientific Computation and Differential Equations (SciCADE 2019) , 22.-26.7.2019 , Innsbruck, Österreich.
(Conference item: Conference , Speech )

Hajduk, Hennes ; Kuzmin, Dmitri ; Aizinger, Vadym:
New directional vector limiters for discontinuous Galerkin methods.
In: Journal of Computational Physics. Vol. 384 (2019) . - pp. 308-325.
DOI: https://doi.org/10.1016/j.jcp.2019.01.032

Albrecht, Gaby ; Chudej, Kurt:
Optimal control of a two serotype dengue fever model with vaccination of seropositive humans.
2019
Event: International Conference on Scientific Computation and Differential Equations (SciCADE 2019) , 22.-26.7.2019 , Innsbruck, Österreich.
(Conference item: Conference , Speech )

Albrecht, Gaby ; Chudej, Kurt:
Optimal disease control in a new mathematical dengue fever model.
2019
Event: OCIP 2019 : Workshop on Numerical Methods for Optimal Control and Inverse Problems , 11.-13.3.2019 , TU München, Garching bei München, Deutschland.
(Conference item: Workshop , Speech )

Chudej, Kurt ; Albrecht, Gaby:
Optimale Impfstrategien für Dengue-seropositiv Erkrankte.
2019
Event: Workshop Simulation in den Umwelt- und Geowissenschaften , 8.-10.5.2019 , Kassel, Deutschland.
(Conference item: Workshop , Speech )

Bauer, Maximilian:
The proof of the cross approximation using interpolation by radial basis functions.
2019
Event: 17. Workshop on Fast Boundary Element Methods in Industrial Applications , 3.-6.10.2019 , Hirschegg, Österreich.
(Conference item: Workshop , Speech )

Koldunov, N. V. ; Aizinger, Vadym ; Rakowsky, N. ; Scholz, P. ; Sidorenko, D. ; Danilov, S. ; Jung, T.:
Scalability and some optimization of the Finite-volumE Sea ice--Ocean Model, Version 2.0 (FESOM2).
In: Geoscientific Model Development. Vol. 12 (2019) Issue 9 . - pp. 3991-4012.
DOI: https://doi.org/10.5194/gmd-12-3991-2019

Chudej, Kurt ; Albrecht, Gaby ; Wessely, Anja:
Theoretical analysis and numerical simulation of a mathematical two serotype model for dengue fever.
2019
Event: Workshop der GOR-Arbeitsgruppe Simulation und Optimierung komplexer Systeme , 19.-20.9.2019 , Oberammergau, Deutschland.
(Conference item: Workshop , Speech )

2018

Fechner, Pascal:
Analyse und Numerische Simulation eines Chikungunyafieber Modells.
Bayreuth , 2018
( Bachelor thesis, 2018 , Universität Bayreuth; Fakultät für Mathematik, Physik und Informatik, Lehrstuhl für Wissenschaftliches Rechnen; Fakultät für Ingenieurwissenschaften, Lehrstuhl für Bioprozesstechnik)

Chudej, Kurt ; Fischer, Anne ; Albrecht, Gaby:
Optimal Control in a Mathematical Dengue Fever Model.
2018
Event: 14th Viennese Conference Optimal Control and Dynamic Games , 3.-6.7.2018 , Wien, Österreich.
(Conference item: Conference , Speech )

Volltext
Thäter, Markus ; Chudej, Kurt ; Pesch, Hans Josef:
Optimal vaccination strategies for an SEIR model of infectious diseases with logistic growth.
In: Mathematical Biosciences and Engineering. Vol. 15 (April 2018) Issue 2 . - pp. 485-505.
DOI: https://doi.org/10.3934/mbe.2018022

Fischer, Anne ; Albrecht, Gaby ; Herath, Mark ; Chudej, Kurt:
Optimale Mückenbekämpfung bei einem neuen mathematischen Dengue-Fieber Modell mit zwei Serotypen.
2018
Event: Workshop Simulation in den Umwelt- und Geowissenschaften , 11.-13.04.2018 , Hannover, Deutschland.
(Conference item: Workshop , Speech )

Volltext
Albrecht, Gaby ; Fischer, Anne ; Chudej, Kurt:
Analyse, Simulation und Optimale Steuerung eines mathematischen Dengue-Fieber Modells mit Impfung.
In: Loose, Tobias ; Arbeitsgemeinschaft Simulation ASIM (ed.): Tagungsband Workshop 2018 ASIM/GI Fachgruppen : 8. und 9. März an der Hochschule Heilbronn. - Wien, Österreich : ARGESIM Verlag, 2018 . - pp. 223-229 . - 278 S. . - (ARGESIM Report ; 54 )

Flothow, Amelie:
Analyse der hierarchischen Steifigkeitsmatrix beim Lösen einer elliptischen Differentialgleichung auf einem Gebiet mit einspringender Ecke.
Bayreuth , 2018
( Bachelor thesis, 2018 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl für Wissenschaftliches Rechnen)

Aizinger, Vadym ; Rupp, Andreas ; Schütz, Jochen ; Knabner, Peter:
Analysis of a mixed discontinuous Galerkin method for instationary Darcy flow.
In: Computational Geosciences. Vol. 22 (2018) Issue 1 . - pp. 179-194.
DOI: https://doi.org/10.1007/s10596-017-9682-8

Üblacker, Tanja:
Bewältigung des "Fluchs der Dimensionen" bei der Lösung von linearen Gleichungssystemen mit Tensorprodukt-Struktur.
Bayreuth , 2018
( Bachelor thesis, 2018 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl für Wissenschaftliches Rechnen)

Aizinger, Vadym ; Bungert, Leon ; Fried, Michael:
Comparison of two local discontinuous Galerkin formulations for the subjective surfaces problem.
In: Computing and Visualization in Science. Vol. 18 (2018) Issue 6 . - pp. 193-202.
DOI: https://doi.org/10.1007/s00791-018-0291-4

Beyer, Sebastian ; Kleiner, Thomas ; Aizinger, Vadym ; Rückamp, Martin ; Humbert, Angelika:
A confined-unconfined aquifer model for subglacial hydrology and its application to the Northeast Greenland Ice Stream.
In: The Cryosphere. Vol. 12 (2018) Issue 12 . - pp. 3931-3947.
DOI: https://doi.org/10.5194/tc-12-3931-2018

Clemens, Martin:
Efficient computation of the electrostatic potential of proteins.
Bayreuth , 2018
( Bachelor thesis, 2018 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl Wissenschaftliches Rechnen)

Jaust, Alexander ; Reuter, Balthasar ; Aizinger, Vadym ; Schütz, Jochen ; Knabner, Peter:
FESTUNG: A MATLAB/GNU Octave toolbox for the discontinuous Galerkin method. Part III. Hybridized discontinuous Galerkin (HDG) formulation.
In: Computers & Mathematics with Applications. Vol. 75 (2018) Issue 12 . - pp. 4505-4533.
DOI: https://doi.org/10.1016/j.camwa.2018.03.045

Marx, Anne ; Conrad, Marcus ; Aizinger, Vadym ; Prechtel, Alexander ; van Geldern, Robert ; Barth, Johannes A. C.:
Groundwater data improve modelling of headwater stream CO₂ outgassing with a stable DIC isotope approach.
In: Biogeosciences. Vol. 15 (2018) Issue 10 . - pp. 3093-3106.
DOI: https://doi.org/10.5194/bg-15-3093-2018

Kreifels, Lucas:
Hierarchical matrices for the general curl-curl problem based on a damped admissibility condition.
Bayreuth , 2018
( Bachelor thesis, 2018 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl Wissenschaftliches Rechnen)

Witt, Annika:
Kompression von Bildern und Videos mit Tensormethoden.
Bayreuth , 2018
( Bachelor thesis, 2018 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl für Wissenschaftliches Rechnen)

Hajduk, Hennes ; Hodges, Ben R. ; Aizinger, Vadym ; Reuter, Balthasar:
Locally Filtered Transport for computational efficiency in multi-component advection-reaction models.
In: Environmental Modelling & Software. Vol. 102 (2018) . - pp. 185-198.
DOI: https://doi.org/10.1016/j.envsoft.2018.01.003

Klier, Anne:
Mathematische Analyse eines Dengue-Fieber-Modells.
Bayreuth , 2018
( Bachelor thesis, 2018 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl für Wissenschaftliches Rechnen)

Volltext
Kienle Garrido, Melina-Lorén ; Breitenbach, Tim ; Chudej, Kurt ; Borzì, Alfio:
Modeling and Numerical Solution of a Cancer Therapy Optimal Control Problem.
In: Applied Mathematics. Vol. 9 (2018) Issue 8 . - pp. 985-1004.
DOI: https://doi.org/10.4236/am.2018.98067

Volltext
Schreppel, Christina ; Chudej, Kurt:
Numerical optimal control applied to an epidemiological model.
In: IFACPapersOnline. Vol. 51 (2018) Issue 2 . - pp. 1-6.
DOI: https://doi.org/10.1016/j.ifacol.2018.03.001

Chudej, Kurt ; Regensburger, Dominik:
Optimal Flight of a Hang-Glider through a Thermal.
2018
Event: 5th European Conference on Computational Optimization (EUCCO) , 10.-12.9.2018 , Trier, Deutschland.
(Conference item: Conference , Speech )

Volltext
Chudej, Kurt ; Fischer, Anne:
Optimal vaccination strategies for a new dengue model with two serotypes.
In: IFACPapersOnline. Vol. 51 (2018) Issue 2 . - pp. 13-18.
DOI: https://doi.org/10.1016/j.ifacol.2018.03.003

Chudej, Kurt ; Fischer, Anne ; Albrecht, Gaby ; Herath, Mark:
Optimale Mückenbekämpfung bei einem neuen mathematischen Dengue-Fieber Modell mit 2 Serotypen.
In: Wittmann, Jochen ; Wolf, Lennard ; Ahlers, Volker ; Koschel, Arne ; Pump, Richard (ed.): Simulation in Umwelt- und Geowissenschaften : Workshop Hannover 2018. - Aachen : Shaker Verlag, 2018 . - pp. 221-233 . - 233 S. . - (ASIM Mitteilung ; 167 )

Albrecht, Gaby ; Chudej, Kurt:
Optimale Steuerung und theoretische Analyse eines mathematischen zwei Serotypen Dengue-Fieber Modells.
In: Deatcu, Christina ; Schramm, Thomas ; Kay, Zobel (ed.): Tagungsband ASIM 2018 - 24. Symposium Simulationstechnik an der HafenCity Universität Hamburg. - Wien, Österreich : ARGE Simulation News, 2018 . - pp. 127-135 . - (ASIM Mitteilung ; 168 )

Stemmer, Corina:
Trajektorienoptimierung eines Hängegleiters.
Bayreuth , 2018
(Master's, 2018 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl Wissenschaftliches Rechnen)

Hach, Carolin:
Vergleich von Interpolationsmethoden auf Basis von Newtonschen und Lagrangeschen Basen bei verschiedenen Punktsequenzen im Ein- und Mehrdimensionalen.
Bayreuth , 2018
( Bachelor thesis, 2018 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl für Wissenschaftliches Rechnen)

2017

Bauer, Maximilian ; Bebendorf, Mario:
Additional adaptive methods for the cross approximation of BEM-matrices.
2017
Event: 15. Workshop on Fast Boundary Element Methods in Industrial Applications , 12.-15.10.2017 , Hirschegg, Österreich.
(Conference item: Workshop , Speech )

Chudej, Kurt ; Fischer, Anne:
Optimal Vaccination Strategies against Dengue Fever.
2017
Event: 18th French-German-Italian Conference on Optimization 2017 , 25.-28.09.2017 , Paderborn, Deutschland.
(Conference item: Conference , Speech )

Thäter, Markus ; Chudej, Kurt ; Pesch, Hans Josef:
L¹- and L²-Optimal vaccination strategies against a generic disease modelled by an SEIR compartment model with different population growth and contact models.
2017
Event: New Horizons in Optimal Control 2017 , 03.-05.07.2017 , Porto, Portugal.
(Conference item: Conference , Speech )

Chudej, Kurt ; Fischer, Anne ; Schreppel, Christina ; Pesch, Hans Josef:
Optimal Vaccination Strategies for Dengue-Fever.
2017
Event: OCIP 2017 - Workshop on Numerical Methods for Optimal Control and Inverse Problems , 5.-7.4.2017 , Garching bei München, Deutschland.
(Conference item: Workshop , Speech )

Bauer, Maximilian:
Adaptive multiscale methods for elliptic PDEs.
2017
Event: 88th GAMM Annual Meeting , 6.-10.3.2017 , Weimar.
(Conference item: Conference , Speech )

Aizinger, Vadym ; Kosík, Adam ; Kuzmin, Dmitri ; Reuter, Balthasar:
Anisotropic slope limiting for discontinuous Galerkin methods.
In: International Journal for Numerical Methods in Fluids. Vol. 84 (2017) Issue 9 . - pp. 543-565.
DOI: https://doi.org/10.1002/fld.4360

Bungert, Leon ; Aizinger, Vadym ; Fried, Michael:
A Discontinuous Galerkin Method for the Subjective Surfaces Problem.
In: Journal of Mathematical Imaging and Vision. Vol. 58 (2017) Issue 1 . - pp. 147-161.
DOI: https://doi.org/10.1007/s10851-016-0695-z

Schütz, Jochen ; Aizinger, Vadym:
A hierarchical scale separation approach for the hybridized discontinuous Galerkin method.
In: Journal of Computational and Applied Mathematics. Vol. 317 (2017) . - pp. 500-509.
DOI: https://doi.org/10.1016/j.cam.2016.12.018

Herath, Mark:
Mathematische Überlegungen zu Dengue-Fieber-Modellen.
Bayreuth , 2017
( Bachelor thesis, 2017 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl Wissenschaftliches Rechnen)

Ditter, Alexander ; Schönwetter, Dominik ; Kuzmin, Anton ; Fey, Dietmar ; Aizinger, Vadym:
Memory Analysis and Performance Modeling for HPC Applications on Embedded Hardware via Instruction Accurate Simulation.
In: Janech, Jan ; Kostolny, Jozef ; Gratkowski, Tomasz (ed.): Proceedings of the 2015 Federated Conference on Software Development and Object Technologies. - Cham : Springer International Publishing, 2017 . - pp. 19-34
DOI: https://doi.org/10.1007/978-3-319-46535-7_2

Britzelmeier, Andreas ; Klingler, Anna-Lena ; Chudej, Kurt:
Optimaler Flug eines Drachenfliegers durch eine Wolkenstraße.
In: Commerell, Walter ; Pawletta, Thorsten (ed.): Tagungsband Workshop 2017 ASIM/GI-Fachgruppen : 9. und 10. März an der Hochschule Ulm. - Wien, Österreich : ARGESIM Verlag Wien, 2017 . - pp. 169-176 . - (ARGESIM Report ; 53 )

Frankenberger, Maria:
Simulation einer schwingenden Membran.
2017
( Bachelor thesis, 2017 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl für Wissenschaftliches Rechnen)

2016

Volltext
Riedl, Wolfgang ; Baier, Robert ; Gerdts, Matthias:
Optimization-based subdivision algorithm for reachable sets.
Mathematisches Institut, Universität Bayreuth; Institut für Mathematik und Rechneranwendung, Universität der Bundeswehr in Neubiberg/München
Bayreuth , 2016 . - 33 p.

Chudej, Kurt ; Huebner, Dominik ; Schreppel, Christina ; Fischer, Anne:
Optimale Steuerung in den Lebenswissenschaften.
2016
Event: Oberseminar Wissenschaftliches Rechnen, Institut für Mathematik, Julius-Maximilians-Universität Würzburg , 8.6.2016 , Würzburg.
(Conference item: Lecture series , Speech )

Chudej, Kurt ; Schreppel, Christina ; Fischer, Anne:
Optimale Impfstrategien für Dengue-Fieber.
2016
Event: Kolloquium Angewandte Mathematik, Universität der Bundeswehr München , 1.6.2016 , Neubiberg bei München.
(Conference item: Lecture series , Speech )

Feist, Bernd:
Solution of the suicide substrate kinetics with an O'Malley/Hoppensteadt approximation of a higher order.
2016
Event: Joint DMV and GAMM Annual Meeting 2016 , 7.-11.3.2016 , Braunschweig.
(Conference item: Conference , Speech )

Bebendorf, Mario:
Mathematik an der Universität Bayreuth.
2016
Event: Hochschultag an der Hochschule Hof , 5.3.2016 , Hof.
(Conference item: Other Event type, Speech )

Bebendorf, Mario:
Mathematik an der Universität Bayreuth.
2016
Event: Hochschultag an der Universität Bayreuth , 18.2.2016 , Bayreuth.
(Conference item: Other Event type, Speech )

Chudej, Kurt:
Brennstoffzellen und Dengue-Fieber.
2016
Event: Werbevortrag zum Mathematikstudium für Abiturienten des Augustinus-Gymnasiums Weiden , 19.1.2016 , Bayreuth.
(Conference item: Other Event type, Speech )

Rau, Thomas:
Adaptivität bei der Approximation nicht-lokaler Operatoren.
2016
( Bachelor thesis, 2016 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl für Ingenieurmathematik)

Schoenwetter, D. ; Ditter, A. ; Aizinger, Vadym ; Reuter, B. ; Fey, D.:
Cache Aware Instruction Accurate Simulation of a 3-D Coastal Ocean Model on Low Power Hardware.
In: Merkuryev, Yuri (ed.): SIMULTECH 2016 : Proceedings of the 6th International Conference on Simulation and Modeling Methodologies, Technologies and Applications. Volume 1. - Setúbal : SCITEPRESS, 2016 . - pp. 129-137
DOI: https://doi.org/10.5220/0006006501290137

Jaust, A. ; Schütz, J. ; Aizinger, Vadym:
An efficient linear solver for the hybridized discontinuous Galerkin method.
In: Proceedings in Applied Mathematics and Mechanics. Vol. 16 (2016) Issue 1 . - pp. 845-846.
DOI: https://doi.org/10.1002/pamm.201610411

Geveler, M. ; Reuter, B. ; Aizinger, Vadym ; Göddeke, D. ; Turek, S.:
Energy efficiency of the simulation of three-dimensional coastal ocean circulation on modern commodity and mobile processors.
In: Computer Science : Research and Development. Vol. 31 (2016) Issue 4 . - pp. 225-234.
DOI: https://doi.org/10.1007/s00450-016-0324-5

Volltext
Reuter, B. ; Aizinger, Vadym ; Wieland, M. ; Frank, F. ; Knabner, P.:
FESTUNG : A MATLAB/GNU Octave toolbox for the discontinuous Galerkin method. Part II: Advection operator and slope limiting.
In: Computers & Mathematics with Applications. Vol. 72 (2016) Issue 7 . - pp. 1896-1925.
DOI: https://doi.org/10.1016/j.camwa.2016.08.006

Regensburger, Dominik:
Flugbahnoptimierung eines Drachenfliegers.
2016
(Master's, 2016 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl für Ingenieurmathematik)

Bebendorf, Mario:
Low-rank approximation of elliptic boundary value problems with high-contrast coefficients.
In: SIAM Journal on Mathematical Analysis. Vol. 48 (2016) Issue 2 . - pp. 932-949.
DOI: https://doi.org/10.1137/140991030

Chudej, Kurt ; Huebner, Dominik ; Pesch, Hans Josef:
Numerische Lösung eines mathematischen Modells für eine optimale Krebskombinationstherapie aus Anti-Angiogenese und Strahlentherapie.
In: Wiedemann, Thomas (ed.): Tagungsband ASIM 2016 - 23. Symposium Simulationstechnik : am 7.-9.10. 2016 an der HTW Dresden. - Wien, Österreich , 2016 . - pp. 169-176 . - (ARGESIM Report ; 52 )

Bebendorf, Mario ; Bollhöfer, Matthias ; Bratsch, Michael:
On the Spectral Equivalence of Hierarchical Matrix Preconditioners for Elliptic Problems.
In: Mathematics of Computation. Vol. 85 (2016) Issue 302 . - pp. 2839-2861.
DOI: https://doi.org/10.1090/mcom/3086

Fischer, Anne:
Optimale Impfstrategien für Dengue-Fieber.
Bayreuth , 2016
(Master's, 2016 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl für Ingenieurmathematik)

Huebner, Dominik:
Optimale Kombinationstherapie für ein Krebsmodell.
Bayreuth , 2016
(Master's, 2016 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl für Ingenieurmathematik)

Chudej, Kurt ; Rund, Armin ; Wächter, Markus:
Trajectory optimization of a hypersonic plane s.t. heat limits.
In: Tikhomirov, Dmitrij ; Mammen, Heinz-Theo ; Pawletta, Thorsten (ed.): ASIM-Treffen STS/GMMS 2016 - Workshop der ASIM/GI Fachgruppen STS und GMMS : Tagungsband : am 10.- 11. 3. 2016 an der Hochschule Hamm-Lippstadt. - Wien, Österreich : ARGESIM Verlag Wien, 2016 . - pp. 101-108 . - (ARGESIM Report ; 51 )

Schönwetter, Dominik ; Ditter, Alexander ; Kleinert, Bruno ; Hendricks, Arne ; Aizinger, Vadym ; Fey, Dietmar:
Virtualization Guided Tsunami and Storm Surge Simulations for Low Power Architectures.
In: Obaidat, Mohammad S. ; Kacprzyk, Janusz ; Ören, Tuncer ; Filipe, Joaquim (ed.): Simulation and Modeling Methodologies, Technologies and Applications. - Cham : Springer International Publishing, 2016 . - pp. 99-114
DOI: https://doi.org/10.1007/978-3-319-31295-8_7

2015

Thäter, Markus ; Chudej, Kurt ; Pesch, Hans Josef:
Optimal vaccination strategies for an improved SEIR model.
2015
Event: OR 2015 : International Conference on Operations Research 2015 : Optimal Decisions and Big Data , 02.-04.09.2015 , Wien, Austria.
(Conference item: Conference , Speech )

Britzelmeier, Andreas ; Chudej, Kurt ; Klingler, Anna-Lena ; Wächter, Markus:
Optimal Control of a Hang-Glider.
2015
Event: 2015 Sino-German Flight Dynamics and Autonomous Control Workshop , 15.-17.9.2015 , Peking, China.
(Conference item: Workshop , Speech )

Bechmann, Simon ; Fischer, Julia:
Primal-Dual Active Set Strategy for Singular Optimal Control Problems.
2015
Event: GAMM 86th Annual Scientific Conference , 23.-27.3.2015 , Lecce, Italien..
(Conference item: Conference , Speech )

Mirabito, Chris ; Dawson, Clint ; Aizinger, Vadym:
An a priori error estimate for the local discontinuous Galerkin method applied to two-dimensional shallow water and morphodynamic flow.
In: Numerical Methods for Partial Differential Equations. Vol. 31 (2015) Issue 2 . - pp. 397-421.
DOI: https://doi.org/10.1002/num.21914

Miller, Franziska:
Einblicke in die Mechanismen von Korruption durch mathematische Modelle.
Bayreuth , 2015
(Master's, 2015, Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl für Ingenieurmathematik)

Volltext
Frank, F. ; Reuter, B. ; Aizinger, Vadym ; Knabner, P.:
FESTUNG : A MATLAB/GNU Octave toolbox for the discontinuous Galerkin method. Part I: Diffusion operator.
In: Computers & Mathematics with Applications. Vol. 70 (2015) Issue 1 . - 11 - 46.
DOI: https://doi.org/10.1016/j.camwa.2015.04.013

Volltext
Chudej, Kurt ; Klingler, Anna-Lena ; Britzelmeier, Andreas:
Flight Path Optimization of a Hang-Glider in a Thermal Updraft.
In: IFAC-PapersOnLine. Vol. 48 (2015) Issue 1 . - pp. 808-812.
DOI: https://doi.org/10.1016/j.ifacol.2015.05.076

Aizinger, Vadym ; Korn, Peter ; Giorgetta, Marco ; Reich, Sebastian:
Large-scale turbulence modelling via α-regularisation for atmospheric simulations.
In: Journal of Turbulence. Vol. 16 (2015) Issue 4 . - pp. 367-391.
DOI: https://doi.org/10.1080/14685248.2014.991443

Volltext
Reuter, B. ; Aizinger, Vadym ; Köstler, H.:
A multi-platform scaling study for an OpenMP parallelization of a discontinuous Galerkin ocean model.
In: Computers and Fluids. Vol. 117 (2015) . - 325 - 335.
DOI: https://doi.org/10.1016/j.compfluid.2015.05.020

Volltext
Oetjen, Jan ; Engel, Max ; Effkemann, Christoph ; May, Simon M. ; Pudasaini, Shiva P. ; Wöffler, Theide ; Aizinger, Vadym ; Schüttrumpf, Holger ; Brückner, Helmut:
Numerical modelling of tsunami scenarios for the island of Bonaire (Leeward Antilles).
In: Abstract of the 4th International Tsunami Field Symposium. - 2015 . - pp. 81-85

Volltext
Chudej, Kurt ; Wagner, Lisa ; Pesch, Hans Josef:
Numerical Solution of an Optimal Control Problem in Cancer Treatment : Combined Radio and Anti-Angiogenic Therapy.
In: IFAC-PapersOnLine. Vol. 48 (2015) Issue 1 . - pp. 665-666.
DOI: https://doi.org/10.1016/j.ifacol.2015.05.082

Günther, Julia:
Numerische Simulation gewellter Federn unter Anwendung der Finite-Elemente-Methode.
Bayreuth , 2015
(Master's, 2015 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl für Ingenieurmathematik)

Shokina, N. ; Aizinger, Vadym:
On numerical modelling of impulse water waves generated by submarine landslides.
In: Environmental Earth Sciences. Vol. 74 (2015) Issue 11 . - pp. 7387-7405.
DOI: https://doi.org/10.1007/s12665-015-4746-3

Schrader, Theresa:
Optimale Steuerungsprobleme mit Turnpike Lösungen.
Bayreuth , 2015
( Bachelor thesis, 2015 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl für Ingenieurmathematik)

Kullmann, Johannes:
Optimalsteuerungsprobleme mit Anwendungen in den Gesellschaftswissenschaften.
Bayreuth , 2015
(Master's, 2015 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl für Ingenieurmathematik)

Hinkelmann, R. ; Liang, Q. ; Aizinger, Vadym ; Dawson, Clint:
Robust shallow water models.
In: Environmental Earth Sciences. Vol. 74 (2015) Issue 11 . - pp. 7273-7274.
DOI: https://doi.org/10.1007/s12665-015-4764-1

Volltext
Aizinger, Vadym ; Kuzmin, D. ; Korous, L.:
Scale separation in fast hierarchical solvers for discontinuous Galerkin methods.
In: Applied Mathematics and Computation. Vol. 266 (2015) . - pp. 838-849.
DOI: https://doi.org/10.1016/j.amc.2015.05.047

Chudej, Kurt ; Klingler, Anna-Lena ; Britzelmeier, Andreas:
Trajectory optimization of a hang-glider in a valley breeze.
2015
Event: Workshop on Numerical Methods for Optimal Control and Inverse Problems , 09.-11.03.2015 , TU München, Garching bei München, Deutschland.
(Conference item: Workshop , Speech )

Schoenwetter, D. ; Ditter, A. ; Kleinert, B. ; Hendricks, A. ; Aizinger, Vadym ; Koestler, H. ; Fey, D.:
Tsunami and Storm Surge Simulation Using Low Power Architectures : Concept and Evaluation.
In: Obaidat, Mohammad S. (ed.): SIMULTECH 2015 : Proceedings of the 5th International Conference on Simulation and Modeling Methodologies, Technologies and Applications. Volume 1. - Setúbal : SCITEPRESS, 2015 . - pp. 377-382
DOI: https://doi.org/10.5220/0005566603770382

Bebendorf, Mario ; Kuske, Christian ; Venn, Raoul:
Wideband nested cross approximation for Helmholtz problems.
In: Numerische Mathematik. Vol. 130 (2015) Issue 1 . - pp. 1-34.
DOI: https://doi.org/10.1007/s00211-014-0656-7

2014

Bebendorf, Mario ; Kuske, Christian:
Separation of variables for function generated high-order tensors.
Universität Bonn, Institut für Numerische Simulation
In: Journal of Scientific Computing. Vol. 61 (October 2014) Issue 1 . - pp. 145-165.

Bebendorf, Mario ; Maday, Yvon ; Stamm, Benjamin:
Comparison of Some Reduced Representation Approximations.
In: Quarteroni, Alfio ; Rozza, Gianluigi (Hrsg.): Reduced Order Methods for Modeling and Computational Reduction. - Basel : Springer, 2014 . - pp. 67-100 . - (Modeling, Simulation and Applications ; 9 )
DOI: https://doi.org/10.1007/978-3-319-02090-7_3

Bartels, Sören ; Bebendorf, Mario ; Bratsch, Michael:
A Fast and Accurate Numerical Method for the Computation of Unstable Micromagnetic Configurations.
In: Griebel, Michael (Hrsg.): Singular Phenomena and Scaling in Mathematical Models. - Springer : Basel, 2014 . - pp. 413-434
DOI: https://doi.org/10.1007/978-3-319-00786-1_18

2013

Bebendorf, Mario ; Bollhöfer, Matthias ; Bratsch, Michael:
Hierarchical matrix approximation with blockwise constraints.
Universität Bonn, Institut für Numerische Simulation
In: BIT Numerical Mathematics. Vol. 53 (October 2013) Issue 2 . - pp. 311-339.
DOI: https://doi.org/10.1007/s10543-012-0413-1

Bebendorf, Mario ; Hardesty, Sean:
Adaptive cross approximation of tensors arising in the discretization of boundary integral operator shape derivatives.
Universität Bonn, Institut für Numerische Simulation
In: Engineering Analysis with Boundary Elements. Vol. 37 (2013) Issue 1 . - pp. 60-67.
DOI: https://doi.org/10.1016/j.enganabound.2012.09.003

Volltext
Bebendorf, Mario ; Kühnemund, Andreas ; Rjasanow, S.:
An equi-directional generalization of adaptive cross approximation for higher-order tensors.
Universität Bonn, Institut für Numerische Simulation
In: Applied Numerical Mathematics. Vol. 74 (2013) . - pp. 1-16.
DOI: https://doi.org/10.1016/j.apnum.2013.08.001

Volltext
Bebendorf, Mario ; Krämer, Florian:
Hierarchical Matrix Preconditioning for Low-Frequency–Full-Maxwell Simulations.
In: Proceedings of the IEEE. Vol. 101 (2013) Issue 2 . - pp. 423-433.
DOI: https://doi.org/10.1109/JPROC.2012.2204849

Aizinger, Vadym ; Proft, J. ; Dawson, Clint ; Pothina, D. ; Negusse, S.:
A three-dimensional discontinuous Galerkin model applied to the baroclinic simulation of Corpus Christi Bay.
In: Ocean Dynamics. Vol. 63 (2013) Issue 1 . - pp. 89-113.
DOI: https://doi.org/10.1007/s10236-012-0579-8

Bebendorf, Mario:
Wideband nested cross approximation for Helmholtz problems.
In: Oberwolfach reports, Vol. 10,1. - Oberwolfach , 2013 . - pp. 142-146
DOI: https://doi.org/10.4171/OWR/2013/03

2012

Volltext
Bebendorf, Mario ; Venn, Raoul:
Constructing nested bases approximations from the entries of non-local operators.
In: Numerische Mathematik. Vol. 121 (2012) Issue 4 . - pp. 609-635.
DOI: https://doi.org/10.1007/s00211-012-0449-9

Volltext
Düben, P. D. ; Korn, P. ; Aizinger, Vadym:
A discontinuous/continuous low order finite element shallow water model on the sphere.
In: Journal of Computational Physics. Vol. 231 (2012) Issue 6 . - pp. 2396-2413.
DOI: https://doi.org/10.1016/j.jcp.2011.11.018

2011

Volltext
Bebendorf, Mario:
Adaptive Cross Approximation of Multivariate Functions.
In: Constructive Approximation. Vol. 34 (2011) Issue 2 . - pp. 149-179.
DOI: https://doi.org/10.1007/s00365-010-9103-x

Aizinger, Vadym:
A geometry independent slope limiter for the discontinuous Galerkin method.
In: Krause, Egon ; Shokin, Yurii ; Resch, Michael ; Kröner, Dietmar ; Shokina, Nina (ed.): Computational Science and High Performance Computing IV. - Berlin, Heidelberg : Springer, 2011 . - pp. 207-217 . - (Notes on Numerical Fluid Mechanics and Multidisciplinary Design ; 115 )
DOI: https://doi.org/10.1007/978-3-642-17770-5_16

Volltext
Bebendorf, Mario ; Fischer, Thomas:
On the purely algebraic data-sparse approximation of the inverse and the triangular factors of sparse matrices.
In: Numerical Linear Algebra with Applications. Vol. 18 (2011) Issue 1 . - pp. 105-122.
DOI: https://doi.org/10.1002/nla.714

2010

Brunner, D. ; Junge, M. ; Rapp, P. ; Bebendorf, Mario ; Gaul, L.:
Comparison of the fast multipole method with hierarchical matrices for the Helmholtz-BEM.
In: Computer Modeling in Engineering and Sciences. Vol. 58 (2010) Issue 2 . - pp. 131-160.
DOI: https://doi.org/10.3970/cmes.2010.058.131

Bebendorf, Mario ; Fischer, Thomas:
Efficient solution of non-linear systems at metal forming processes using hierarchical matrices.
In: Hirt, G. (Ed,): Modelling of incremental forming processes : Final report of the DFG priority programme SPP 1146. - Aachen : Shaker Verlag, 2010 . - pp. 195-213

Volltext
Ostrowski, Joerg Marc ; Bebendorf, Mario ; Hiptmair, Ralf ; Krämer, Florian:
H-matrix-based operator preconditioning for full Maxwell at low frequencies.
In: IEEE Transactions on Magnetics. Vol. 46 (2010) Issue 8 . - pp. 3193-3196.
DOI: https://doi.org/10.1109/TMAG.2010.2042934

Bebendorf, Mario ; Ostrowski, Joerg Marc:
Hierarchical matrix preconditioners for the curl-curl operator.
In: Oberwolfach reports, Vol. 7,1. - Oberwolfach , 2010 . - pp. 424-428
DOI: https://doi.org/10.4171/OWR/2010/10

Aizinger, Vadym ; Hauser, Andreas ; Wittum, Gabriele:
Simulation of Flow and Transport in a Static Mixer Using Adaptive and Higher Order Numerical Methods.
In: Bockhorn, Henning ; Mewes, D. ; Peukert, W. ; Warnecke, H.-J. (ed.): Micro and Macro Mixing : analysis, simulation and numerical calculation. - Berlin ; Heidelberg : Springer, 2010 . - pp. 245-262 . - (Heat and Mass Transfer )
DOI: https://doi.org/10.1007/978-3-642-04549-3_14

2009

Volltext
Krämer, Florian ; Bebendorf, Mario ; Ostrowski, Joerg Marc ; Hiptmair, Ralf:
Hierarchical matrix preconditioners for eddy current problems.
In: Institute of Electrical and Electronics Engineers: International Conference on Electromagnetics in Advanced Applications, 2009. - Piscataway, NJ : IEEE, 2009 . - pp. 724-727
DOI: https://doi.org/10.1109/ICEAA.2009.5297293

Volltext
Bebendorf, Mario ; Ostrowski, Joerg Marc:
Parallel hierarchical matrix preconditioners for the curl-curl operator.
In: Journal of Computational Mathematics. Vol. 27 (2009) Issue 5 . - pp. 624-641.
DOI: https://doi.org/10.4208/jcm.2009.27.5.014

Volltext
Bebendorf, Mario ; Kunis, Stefan:
Recompression Techniques for Adaptive Cross Approximation.
In: Journal of Integral Equations and Applications. Vol. 21 (2009) Issue 3 . - pp. 331-357.
DOI: https://doi.org/10.1216/JIE-2009-21-3-331

2008

Volltext
Steinmetz, T. ; Gödel, N. ; Wimmer, G. ; Clemens, M. ; Kurz, S. ; Bebendorf, Mario:
Efficient symmetric FEM-BEM coupled simulations of electro-quasistatic fields.
In: IEEE Transactions on Magnetics. Vol. 44 (2008) Issue 6 . - pp. 1346-1349.
DOI: https://doi.org/10.1109/TMAG.2008.915785

Volltext
Bebendorf, Mario:
Hierarchical Matrices: A Means to Efficiently Solve Elliptic Boundary Value Problems.
Berlin : Springer , 2008 . - 290 p. - (Lecture Notes in Computational Science and Engineering ; 63 )
DOI: https://doi.org/10.1007/978-3-540-77147-0

Volltext
Bebendorf, Mario ; Fischer, Thomas:
A Purely Algebraic Approach to Preconditioning Based on Hierarchical LU Factorizations.
In: Kunisch, Karl ; Of, Günther ; Steinbach, Olaf (Hrsg.): Numerical Mathematics and Advanced Applications : Proceedings of ENUMATH 2007, the 7th European Conference on Numerical Mathematics and Advanced Applications, Graz, Austria, September 2007. - Berlin : Springer, 2008 . - pp. 135-142
DOI: https://doi.org/10.1007/978-3-540-69777-0_15

2007

Volltext

Volltext
Smajić, Jasmin ; Andjelić, Zoran ; Bebendorf, Mario:
Fast BEM for Eddy-Current Problems Using H-Matrices and Adaptive Cross Approximation.
In: IEEE Transactions on Magnetics. Vol. 43 (2007) Issue 4 . - pp. 1269-1272.
DOI: https://doi.org/10.1109/TMAG.2006.890971

Bebendorf, Mario:
Hierarchical Matrices : a Means to Efficiently Solve Elliptic Boundary Value Problems.
Leipzig , 2007
( Habilitation thesis, 2007 , Universität Leipzig)

Volltext
Aizinger, Vadym ; Dawson, Clint:
The local discontinuous Galerkin method for three-dimensional shallow water flow.
In: Computer Methods in Applied Mechanics and Engineering. Vol. 196 (2007) Issue 4-6 . - pp. 734-746.
DOI: https://doi.org/10.1016/j.cma.2006.04.010

Bebendorf, Mario ; Kunis, Stefan:
Recompression Techniques for Adaptive Cross Approximation.
In: Trevelyan, J. (ed.): Advances in Boundary Integral Methods : Proceedings of the 6th UK Conference on Boundary Integral Methods. - Durham : Durham University, 2007 . - pp. 1-11

Volltext
Bebendorf, Mario ; Hackbusch, Wolfgang:
Stabilized rounded addition of hierarchical matrices.
In: Numerical Linear Algebra with Applications. Vol. 14 (2007) Issue 5 . - pp. 407-423.
DOI: https://doi.org/10.1002/nla.525

Steinmetz, T. ; Gödel, N. ; Wimmer, G. ; Clemens, M. ; Kurz, S. ; Bebendorf, Mario ; Rjasanow, S.:
Symmetric Coupling of the Finite-Element and the Boundary-Element Method for Electro-Quasistatic Field Simulations.
In: Ciuprina, Gabriela ; Ioan, Daniel (Hrsg.): Scientific Computing in Electrical Engineering. - Berlin : Springer, 2007 . - pp. 309-315 . - (Mathematics in Industry ; 11 )
DOI: https://doi.org/10.1007/978-3-540-71980-9_33

Volltext
Bebendorf, Mario:
Why finite element discretizations can be factored by triangular hierarchical matrices.
Universität Bonn, Institut für Numerische Simulation
In: SIAM Journal on Numerical Analysis. Vol. 45 (2007) Issue 4 . - pp. 1472-1494.
DOI: https://doi.org/10.1137/060669747

2006

Volltext
Bebendorf, Mario ; Grzhibovskis, R.:
Accelerating Galerkin BEM for Linear Elasticity using Adaptive Cross Approximation.
In: Mathematical Methods in the Applied Sciences. Vol. 29 (2006) Issue 14 . - pp. 1721-1747.
DOI: https://doi.org/10.1002/mma.759

Volltext
Bebendorf, Mario:
Approximate Inverse Preconditioning of Finite Element Discretizations of Elliptic Operators with Nonsmooth Coefficients.
Universität Bonn, Institut für Numerische Simulation
In: SIAM Journal on Matrix Analysis and Applications. Vol. 27 (2006) Issue 4 . - pp. 909-929.
DOI: https://doi.org/10.1137/S0895479803437621

Smajić, Jasmin ; Andjelić, Zoran ; Bebendorf, Mario:
Fast BEM for Eddy-Current Problems using H-Matrices and Adaptive Cross Approximation.
In: Electromagnetic Field Computation, 12th Biennial IEEE Conference. - Miami, Florida : Institute of Electrical and Electronics Engineers (IEEE), 2006 . - p. 258

Volltext
Ostrowski, Joerg Marc ; Andjelić, Zoran ; Bebendorf, Mario ; Cranganu-Cretu, B. ; Smajić, Jasmin:
Fast BEM-solution of Laplace problems with H-matrices and ACA.
In: IEEE Transactions on Magnetics. Vol. 42 (2006) Issue 4 . - pp. 627-630.
DOI: https://doi.org/10.1109/TMAG.2006.871642

Smajić, Jasmin ; Cranganu-Cretu, B. ; Andjelić, Zoran ; Bebendorf, Mario:
Fast multipole algorithm versus ACA in computational electromagnetics.
In: IABEM 2006 conference : Book of abstracts. - Graz, Österreich : Universität Graz, 2006 . - pp. 251-254

2005

Dawson, Clint ; Aizinger, Vadym:
A discontinuous Galerkin method for three-dimensional shallow water equations.
In: Journal of Scientific Computing. Vol. 22 (2005) Issue 1-3 . - pp. 245-267.
DOI: https://doi.org/10.1007/s10915-004-4139-3

Volltext

Ostrowski, Joerg Marc ; Andjelić, Zoran ; Crânganu-Cretu, Bogdan ; Bebendorf, Mario ; Smajić, Jasmin:
Fast BEM-Solution of Laplace problems with H-matrices and ACA.
In: Proceedings of the IEEE Compumag Conference 2005. - Shenyang, China : Institute of Electrical and Electronics Engineers (IEEE), 2005

Volltext
Bebendorf, Mario ; Kriemann, R.:
Fast parallel solution of boundary integral equations and related problems.
In: Computing and Visualization in Science. Vol. 8 (2005) Issue 3-4 . - pp. 121-135.
DOI: https://doi.org/10.1007/s00791-005-0001-x

Volltext
Bebendorf, Mario:
Hierarchical LU decomposition-based preconditioners for BEM.
Universität Bonn, Institut für Numerische Simulation
In: Computing. Vol. 74 (2005) Issue 3 . - pp. 225-247.
DOI: https://doi.org/10.1007/s00607-004-0099-6

2004

Aizinger, Vadym ; Dawson, Clint:
A discontinuous Galerkin method for three-dimensional shallow water flows with free surface.
In: Miller, Cass T. ; Farthing, M. W. ; Gray, W. G. ; Pinder, G. F. (ed.): Computational Methods in Water Resources. Volume 2. Proceedings of the XVth International Conference on Computational Methods in Water Resources. - Amsterdam : Elsevier, 2004 . - pp. 1691-1702 . - (Developments in Water Science ; 55,2 )
DOI: https://doi.org/10.1016/S0167-5648(04)80177-1

2003

Volltext
Bebendorf, Mario ; Rjasanow, S.:
Adaptive low-rank approximation of collocation matrices.
In: Computing. Vol. 70 (2003) Issue 1 . - pp. 1-24.
DOI: https://doi.org/10.1007/s00607-002-1469-6

Volltext
Bebendorf, Mario ; Hackbusch, Wolfgang:
Existence of H-matrix approximants to the inverse FE-matrix of elliptic operators with L-coefficients.
Universität Bonn, Institut für Numerische Simulation
In: Numerische Mathematik. Vol. 95 (2003) Issue 1 . - pp. 1-28.
DOI: https://doi.org/10.1007/s00211-002-0445-6

Volltext
Bebendorf, Mario ; Hackbusch, Wolfgang:
Low-rank approximation of FE matrix inverses for operators with jumping coefficients.
In: Proceedings in Applied Mathematics and Mechanics. Vol. 2 (2003) Issue 1 . - pp. 25-28.
DOI: https://doi.org/10.1002/pamm.200310007

Volltext
Bebendorf, Mario:
A note on the Poincaré inequality for convex domains.
Universität Bonn, Institut für Numerische Simulation
In: Zeitschrift für Analysis und ihre Anwendungen. Vol. 22 (2003) Issue 4 . - pp. 751-756.
DOI: https://doi.org/10.4171/ZAA/1170

Bebendorf, Mario ; Rjasanow, S.:
Numerical Simulation of Exhaust Systems in Car Industry : Efficient Calculation of Radiation Heat Transfer.
In: Jäger, Willi ; Krebs, Hans-Joachim (Hrsg.): Mathematics - Key Technology for the Future. - Berlin : Springer, 2003 . - pp. 55-62
DOI: https://doi.org/10.1007/978-3-642-55753-8_5

2002

Aizinger, Vadym ; Dawson, Clint:
A discontinuous Galerkin method for two-dimensional flow and transport in shallow water.
In: Advances in Water Resources. Vol. 25 (2002) Issue 1 . - pp. 67-84.
DOI: https://doi.org/10.1016/S0309-1708(01)00019-7

Dawson, Clint ; Aizinger, Vadym:
Discontinuous Galerkin methods for shallow water flow and transport.
In: Hassanizadeh, S. Majid ; Schotting, R. J. ; Gray, W.G. ; Pinder, G. F. (ed.): Computational Methods in Water Resources. Volume 2. Proceedings of the XIV International Conference on Computational Methods in Water Resources. - Amsterdam : Elsevier, 2002 . - pp. 915-922 . - (Developments in Water Science ; 47,2 )

Dawson, Clint ; Aizinger, Vadym:
The local discontinuous Galerkin method for advection-diffusion equations arising in groundwater and surface water applications.
In: Chadam, John ; Cunningham, Al ; Ewing, Richard E. ; Ortoleva, Peter ; Wheeler, Mary F. (ed.): Resource Recovery, Confinement, and Remediation of Environmental Hazards. - New York : Springer, 2002 . - pp. 231-245 . - (The IMA Volumes in Mathematics and its Applications ; 131 )
DOI: https://doi.org/10.1007/978-1-4613-0037-3_13

2001

Bebendorf, Mario:
Effiziente numerische Lösung von Randintegralgleichungen unter Verwendung von Niedrigrang-Matrizen.
Berlin : dissertation.de , 2001 . - II, 119 p.
( Doctoral thesis, 2000 , Universität Saarbrücken)

2000

Volltext
Bebendorf, Mario:
Approximation of boundary element matrices.
Universität Bonn, Institut für Numerische Simulation
In: Numerische Mathematik. Vol. 86 (2000) Issue 4 . - pp. 565-589.
DOI: https://doi.org/10.1007/PL00005410

Bebendorf, Mario ; Rjasanow, S. ; Tyrtyshnikov, E. E.:
Approximation using diagonal-plus-skeleton matrices.
In: Bonnet, Marc ; Sändig, Anna-Margarete ; Wendland, Wolfgang L. (Hrsg.): Mathematical aspects of boundary element methods. - Boca Raton, FL, USA : Chapman & Hall/CRC, 2000 . - pp. 45-52 . - (Chapman & Hall CRC Research Notes in Mathematics Series ; 414 )

Dawson, Clint ; Aizinger, Vadym ; Cockburn, Bernardo:
The Local Discontinuous Galerkin Method for Contaminant Transport Problems.
In: Cockburn, Bernardo ; Karniadakis, G. E. ; Shu, C.-W. (ed.): Discontinuous Galerkin Methods : Theory, Computation and Applications. - Berlin ; Heidelberg : Springer, 2000 . - pp. 309-314 . - (Lecture Notes in Computational Science and Engineering ; 11 )
DOI: https://doi.org/10.1007/978-3-642-59721-3_26

Aizinger, Vadym ; Dawson, Clint ; Cockburn, Bernardo ; Castillo, Paul:
The local discontinuous Galerkin method for contaminant transport.
In: Advances in Water Resources. Vol. 24 (2000) Issue 1 . - pp. 73-87.
DOI: https://doi.org/10.1016/S0309-1708(00)00022-1

Bebendorf, Mario ; Rjasanow, S.:
Matrix Compression for the Radiation Heat Transfer in Exhaust Pipes.
In: Sändig, Anna-Margarete ; Schiehlen, Werner ; Wendland, Wolfgang L. (Hrsg.): Multifield Problems : State of the Art. - Berlin : Springer, 2000 . - pp. 183-192
DOI: https://doi.org/10.1007/978-3-662-04015-7_20

1999

Dawson, Clint ; Aizinger, Vadym:
Upwind-mixed methods for transport equations.
In: Computational Geosciences. Vol. 3 (1999) Issue 2 . - pp. 93-110.
DOI: https://doi.org/10.1023/A:1011531109949

1996

Bakema, Jos ; Bebendorf, Mario ; Laitinen, Mika ; Pessl, Günther ; Stefanidis, Vassilios:
Solder spreading.
In: Proceedings of the 1995 ECMI Modelling Week in Glasgow. - Glasgow : University of Strathclyde, 1996 . - pp. 4-14

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