Veröffentlichungen "Aizinger, Vadym"

2024

Büttner, Markus ; Alt, Christoph ; Kenter, Tobias ; Köstler, Harald ; Plessl, Christian ; Aizinger, Vadym:
Enabling Performance Portability for Shallow Water Equations on CPUs, GPUs, and FPGAs with SYCL.
In: Proceedings of the Platform for Advanced Scientific Computing Conference. - New York, NY , 2024 . - 11
ISBN 979-8-4007-0639-4
DOI: https://doi.org/10.1145/3659914.3659925

Ahmadi, Pouyan ; Dichgans, Franz ; Jagau, Lisa ; Schmidt, Christian ; Aizinger, Vadym ; Gilfedder, Benjamin Silas ; Fleckenstein, Jan:
Systematic CFD-based evaluation of physical factors influencing the spatiotemporal distribution patterns of microplastic particles in lakes.
In: Science of the Total Environment. Bd. 917 (2024) . - 170218.
ISSN 0048-9697
DOI: https://doi.org/10.1016/j.scitotenv.2024.170218

2023

Faghih-Naini, Sara ; Aizinger, Vadym ; Kuckuk, Sebastian ; Angersbach, Richard ; Alt, Christoph ; Kenter, Tobias ; Köstler, Harald:
Algorithm re-design and code generation for performance improvements of a discontinuous Galerkin shallow water model on CPUs, GPUs, FPGAs and heterogeneous systems.
2023
Veranstaltung: European Conference on Numerical Mathematics and Advanced Applications (ENUMATH) 2023 , 4.-8. September 2023 , Lisbon, Portugal.
(Veranstaltungsbeitrag: Kongress/Konferenz/Symposium/Tagung , Vortrag )

Faghih-Naini, Sara ; Aizinger, Vadym ; Kuckuk, Sebastian ; Angersbach, Richard ; Zint, Daniel ; Kemmler, Samuel ; Köstler, Harald ; Grosso, Roberto:
HPC code generation framework for the discontinuous Galerkin method as a technology demonstrator for digital twins.
2023
Veranstaltung: Platform for Advanced Scientific Computing (PASC) Conference 2023 , 26.-28. June 2023 , Davos, Switzerland.
(Veranstaltungsbeitrag: Kongress/Konferenz/Symposium/Tagung , Vortrag )

Faghih-Naini, Sara ; Aizinger, Vadym ; Kuckuk, Sebastian ; Angersbach, Richard:
A parameter-free adaptivity indicator for a p-adaptive discontinuous Galerkin discretization of the shallow water equations.
2023
Veranstaltung: SIAM Conference on Mathematical & Computational Issues in the Geosciences (GS23) , 19.-22. June 2023 , Bergen, Norway.
(Veranstaltungsbeitrag: Kongress/Konferenz/Symposium/Tagung , Vortrag )

Faghih-Naini, Sara ; Aizinger, Vadym ; Kuckuk, Sebastian ; Angersbach, Richard ; Kemmler, Samuel ; Köstler, Harald:
A discontinuous Galerkin method for the shallow water equations on CPU-GPU systems.
2023
Veranstaltung: Oral presentation at ASIM Simulation in den Umwelt- und Geowissenschaften , 2.-3. Fabruary 2023 , Bayreuth, Germany.
(Veranstaltungsbeitrag: Sonstige Veranstaltungsart, Vortrag )

Faghih-Naini, Sara ; Aizinger, Vadym ; Kuckuk, Sebastian ; Angersbach, Richard ; Zint, Daniel ; Kemmler, Samuel ; Köstler, Harald ; Grosso, Roberto:
Computational performance optimizations for a discontinuous Galerkin discretization of the shallow water equations.
2023
Veranstaltung: Invited presentation at Lappeenranta-Lahti University of Technology LUT , 22.-27. January 2023 , Lappeenranta, Finland.
(Veranstaltungsbeitrag: Sonstige Veranstaltungsart, Vortrag )

Faghih-Naini, Sara ; Kuckuk, Sebastian ; Zint, Daniel ; Kemmler, Samuel ; Köstler, Harald ; Aizinger, Vadym:
Discontinuous Galerkin method for the shallow water equations on complex domains using masked block-structured grids.
In: Advances in Water Resources. (2023) . - 104584.
ISSN 1872-9657
DOI: https://doi.org/10.1016/j.advwatres.2023.104584

Musch, Markus ; Rupp, Andreas ; Aizinger, Vadym ; Knabner, Peter:
Hybridizable discontinuous Galerkin method with mixed-order spaces for non-linear diffusion equations with internal jumps.
In: GEM : International Journal on Geomathematics. Bd. 14 (2023) Heft 1 . - 18.
ISSN 1869-2672
DOI: https://doi.org/10.1007/s13137-023-00228-7

Faj, Jennifer ; Kenter, Tobias ; Faghih-Naini, Sara ; Plessl, Christian ; Aizinger, Vadym:
Scalable Multi-FPGA Design of a Discontinuous Galerkin Shallow-Water Model on Unstructured Meshes.
In: Proceedings of the Platform for Advanced Scientific Computing Conference. - New York, NY : Association for Computing Machinery , 2023 . - 8
ISBN 9798400701900
DOI: https://doi.org/10.1145/3592979.3593407

Alt, Christoph ; Kenter, Tobias ; Faghih-Naini, Sara ; Faj, Jennifer ; Opdenhövel, Jan-Oliver ; Plessl, Christian ; Aizinger, Vadym ; Hönig, Jan ; Köstler, Harald:
Shallow Water DG Simulations on FPGAs : Design and Comparison of a Novel Code Generation Pipeline.
In: Bhatele, Abhinav ; Hammond, Jeff ; Baboulin, Marc ; Kruse, Carola (Hrsg.): High Performance Computing : Proceedings. - Cham : Springer , 2023 . - S. 86-105 . - (Lecture Notes in Computer Science ; 13948 )
ISBN 978-3-031-32040-8
DOI: https://doi.org/10.1007/978-3-031-32041-5_5

2022

Faghih-Naini, Sara ; Aizinger, Vadym ; Kuckuk, Sebastian ; Angersbach, Richard ; Zint, Daniel ; Kemmler, Samuel ; Köstler, Harald ; Grosso, Roberto:
GHODDESS : p-adaptive discontinuous Galerkin discretization for ocean simulations.
2022
Veranstaltung: LSS Summer Retreat 2022 , 18.-20. July 2022 , Waischenfeld, Germany.
(Veranstaltungsbeitrag: Workshop , Vortrag )

Faghih-Naini, Sara ; Aizinger, Vadym ; Kuckuk, Sebastian ; Angersbach, Richard ; Köstler, Harald:
Hardware-optimized numerics for a discontinuous Galerkin shallow water model.
2022
Veranstaltung: 8th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS) , 05.-09. June 2022 , Oslo, Norway.
(Veranstaltungsbeitrag: Kongress/Konferenz/Symposium/Tagung , Vortrag )

Faghih-Naini, Sara ; Zint, Daniel ; Kuckuk, Sebastian ; Kemmler, Samuel ; Aizinger, Vadym ; Grosso, Roberto ; Köstler, Harald:
Shallow water simulations on complex ocean domains using block-structured grids.
2022
Veranstaltung: Platform for Advanced Scientific Computing (PASC) Conference 2022 , 27.-29. June 2022 , Basel, Switzerland.
(Veranstaltungsbeitrag: Kongress/Konferenz/Symposium/Tagung , Poster )

Zint, Daniel ; Grosso, Roberto ; Aizinger, Vadym ; Faghih-Naini, Sara ; Kuckuk, Sebastian ; Köstler, Harald:
Automatic Generation of Load-Balancing-Aware Block-Structured Grids for Complex Ocean Domains.
In: Robinson, Trevor ; Moxey, David ; Tomov, Vladimir Z. (Hrsg.): Proceedings of the 2022 SIAM International Meshing Roundtable. - Virtual Conference : Zenodo , 2022
DOI: https://doi.org/10.5281/zenodo.6562440

Faghih-Naini, Sara ; Aizinger, Vadym:
p-adaptive discontinuous Galerkin method for the shallow water equations with a parameter-free error indicator.
In: GEM : International Journal on Geomathematics. Bd. 13 (2022) Heft 1 . - 18.
ISSN 1869-2672
DOI: https://doi.org/10.1007/s13137-022-00208-3

Fischler, Yannic ; Rückamp, Martin ; Bischof, Christian ; Aizinger, Vadym ; Morlighem, Mathieu ; Humbert, Angelika:
A scalability study of the Ice-sheet and Sea-level System Model (ISSM, version 4.18).
In: Geoscientific Model Development. Bd. 15 (2022) Heft 9 . - S. 3753-3771.
ISSN 1991-9603
DOI: https://doi.org/10.5194/gmd-15-3753-2022

2021

Faghih-Naini, Sara ; Aizinger, Vadym ; Kuckuk, Sebastian ; Zint, Daniel ; Köstler, Harald ; Grosso, Roberto:
Code Generation for quadrature-free Discontinuous Galerkin Discretizations of the Shallow-water Equations.
2021
Veranstaltung: Platform for Advanced Scientific Computing (PASC) Conference 2021 , 05.-09. July 2020 , Online-Conference.
(Veranstaltungsbeitrag: Kongress/Konferenz/Symposium/Tagung , Poster )

Faghih-Naini, Sara ; Kuckuk, Sebastian ; Zint, Daniel ; Aizinger, Vadym ; Köstler, Harald ; Grosso, Roberto ; Kenter, Tobias ; Shambhu, Adesh:
Combining hardware, software, and numerical methodologies to improve computational performance of a discontinuous Galerkin shallow water model.
2021
Veranstaltung: SIAM Conference on Mathematical & Computational Issues in the Geosciences (GS21) , 21.-24. June 2021 , Online-Conference.
(Veranstaltungsbeitrag: Kongress/Konferenz/Symposium/Tagung , Vortrag )

Kenter, Tobias ; Shambhu, Adesh ; Faghih-Naini, Sara ; Aizinger, Vadym:
Algorithm-hardware co-design of a discontinuous Galerkin shallow-water model for a dataflow architecture on FPGA.
In: Association for Computing Machinery (Hrsg.): Proceedings of the Platform for Advanced Scientific Computing Conference. - Geneva , 2021 . - S. 1-11
ISBN 9781450385633
DOI: https://doi.org/10.1145/3468267.3470617

Xu, Fei ; Xiong, Qingang ; Aizinger, Vadym ; Ducrozet, Guillaume:
Development and Application of Open-Source Software for Problems with Numerical PDEs.
In: Computers & Mathematics with Applications. Bd. 81 (2021) . - S. 1-2.
ISSN 0898-1221
DOI: https://doi.org/10.1016/j.camwa.2020.12.002

Reuter, Balthasar ; Hajduk, Hennes ; Rupp, Andreas ; Frank, Florian ; Aizinger, Vadym ; Knabner, Peter:
FESTUNG 1.0 : Overview, usage, and example applications of the MATLAB/GNU Octave toolbox for discontinuous Galerkin methods.
In: Computers & Mathematics with Applications. Bd. 81 (2021) . - S. 3-41.
ISSN 0898-1221
DOI: https://doi.org/10.1016/j.camwa.2020.08.018

Rupp, Andreas ; Hauck, Moritz ; Aizinger, Vadym:
A subcell-enriched Galerkin method for advection problems.
In: Computers & Mathematics with Applications. Bd. 93 (2021) . - S. 120-129.
ISSN 0898-1221
DOI: https://doi.org/10.1016/j.camwa.2021.04.010

2020

Faghih-Naini, Sara ; Kuckuk, Sebastian ; Zint, Daniel ; Aizinger, Vadym ; Köstler, Harald ; Grosso, Roberto:
A Quadrature-free p-adaptive Discontinuous Galerkin Formulation for Shallow-water Equations with Code Generation Features.
2020
Veranstaltung: Modeling and Simulation of Transport Phenomena , 12.-15. Okt. 2020 , Treis-Karden, Deutschland.
(Veranstaltungsbeitrag: Kongress/Konferenz/Symposium/Tagung , Vortrag )

Faghih-Naini, Sara ; Aizinger, Vadym ; Kuckuk, Sebastian ; Zint, Daniel ; Köstler, Harald ; Grosso, Roberto:
Quadrature-free Discontinuous Galerkin Formulation for Shallow-water Equations with Code Generation Features.
2020
Veranstaltung: ECMWF Annual Seminar 2020 , 14.-18. Sept. 2020 , Online-Conference.
(Veranstaltungsbeitrag: Workshop , Poster )

Hajduk, Hennes ; Kuzmin, Dmitri ; Aizinger, Vadym:
Bathymetry Reconstruction Using Inverse ShallowWater Models : Finite Element Discretization and Regularization.
In: van Brummelen, Harald ; Corsini, Alessandro ; Perotto, Simona ; Rozza, Gianluigi (Hrsg.): Numerical Methods for Flows : FEF 2017 Selected Contributions. - Cham : Springer , 2020 . - S. 223-230
ISBN 978-3-030-30705-9
DOI: https://doi.org/10.1007/978-3-030-30705-9_20

Hauck, Moritz ; Aizinger, Vadym ; Frank, Florian ; Hajduk, Hennes ; Rupp, Andreas:
Enriched Galerkin method for the shallow-water equations.
In: GEM : International Journal on Geomathematics. Bd. 11 (2020) Heft 1 . - 31.
ISSN 1869-2672
DOI: https://doi.org/10.1007/s13137-020-00167-7

Reuter, Balthasar ; Rupp, Andreas ; Aizinger, Vadym ; Frank, Florian ; Knabner, Peter:
FESTUNG: A MATLAB / GNU Octave Toolbox for the Discontinuous Galerkin Method. Part IV. Generic Problem Framework and Model-Coupling Interface.
In: Communications in Computational Physics. Bd. 28 (2020) Heft 2 . - S. 827-876.
ISSN 1815-2406
DOI: https://doi.org/10.4208/cicp.OA-2019-0132

Faghih-Naini, Sara ; Aizinger, Vadym ; Kuckuk, Sebastian ; Zint, Daniel ; Grosso, Roberto ; Köstler, Harald:
Quadrature-free discontinuous Galerkin method with code generation features for shallow water equations on automatically generated block-structured meshes.
In: Advances in Water Resources. Bd. 138 (2020) . - 103552.
ISSN 1872-9657
DOI: https://doi.org/10.1016/j.advwatres.2020.103552

2019

Faghih-Naini, Sara ; Kuckuk, Sebastian ; Zint, Daniel ; Aizinger, Vadym ; Köstler, Harald ; Grosso, Roberto:
Beyond ExaStencils : Code Generation for Quadrature-Free Discontinuous Galerkin Methods in Ocean Modeling.
2019
Veranstaltung: SPPEXA Final Symposium 2019, ExaStencils , October 21-23, 2019 , Dresden.
(Veranstaltungsbeitrag: Kongress/Konferenz/Symposium/Tagung , Vortrag )

Faghih-Naini, Sara ; Aizinger, Vadym ; Kuckuk, Sebastian ; Zint, Daniel ; Köstler, Harald ; Grosso, Roberto:
Quadrature-free Discontinuous Galerkin Method for Shallow-water Equations.
2019
Veranstaltung: Earth System Modeling Summer School , 2019 September 10-19 , Bad Aibling, Germany.
(Veranstaltungsbeitrag: Workshop , Poster )

Faghih-Naini, Sara ; Aizinger, Vadym ; Kuckuk, Sebastian ; Zint, Daniel ; Köstler, Harald ; Grosso, Roberto:
Quadrature-free Discontinuous Galerkin Method for Shallow-water Equations.
2019
Veranstaltung: 9th International Congress on Industrial and Applied Mathematics , 2019 July 15-19 , Valencia, Spain.
(Veranstaltungsbeitrag: Kongress/Konferenz/Symposium/Tagung , Vortrag )

Aizinger, Vadym ; Hajduk, Hennes:
Bathymetry reconstruction using modified shallow-water equations discretized by a discontinuous Galerkin method.
2019
Veranstaltung: Workshop der GOR-Arbeitsgruppe Simulation und Optimierung komplexer Systeme , 19.-20.9.2019 , Oberammergau, Deutschland.
(Veranstaltungsbeitrag: Workshop , Vortrag )

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. Bd. 77 (2019) Heft 9 . - S. 2291-2309.
ISSN 0898-1221
DOI: https://doi.org/10.1016/j.camwa.2018.12.020

Zint, Daniel ; Grosso, Roberto ; Aizinger, Vadym ; Köstler, Harald:
Generation of Block Structured Grids on Complex Domains for High Performance Simulation.
In: Garanzha, Vladimir A. ; Kamenski, Lennard ; Si, Hang (Hrsg.): Numerical Geometry, Grid Generation and Scientific Computing : Proceedings of the 9th International Conference, NUMGRID 2018. - Cham : Springer International Publishing , 2019 . - S. 87-99
ISBN 978-3-030-23436-2
DOI: https://doi.org/10.1007/978-3-030-23436-2_6

Zint, Daniel ; Grosso, Roberto ; Aizinger, Vadym ; Köstler, Harald:
Generation of Block Structured Grids on Complex Domains for High Performance Simulation.
In: Computational Mathematics and Mathematical Physics. Bd. 59 (2019) Heft 12 . - S. 2108-2123.
ISSN 1555-6662
DOI: https://doi.org/10.1134/S0965542519120182

Hajduk, Hennes ; Kuzmin, Dmitri ; Aizinger, Vadym:
New directional vector limiters for discontinuous Galerkin methods.
In: Journal of Computational Physics. Bd. 384 (2019) . - S. 308-325.
ISSN 1090-2716
DOI: https://doi.org/10.1016/j.jcp.2019.01.032

Koldunov, N. V. ; Aizinger, Vadym ; Rakowsky, N. ; Scholz, P. ; Sidorenko, D. ; Danilov, S. ; Jung, Thomas:
Scalability and some optimization of the Finite-volumE Sea ice--Ocean Model, Version 2.0 (FESOM2).
In: Geoscientific Model Development. Bd. 12 (2019) Heft 9 . - S. 3991-4012.
ISSN 1991-9603
DOI: https://doi.org/10.5194/gmd-12-3991-2019

2018

Faghih-Naini, Sara ; Aizinger, Vadym:
A Quadrature-free Discontinuous Galerkin Method for the Shallow Water Equations.
2018
Veranstaltung: 16th European Finite Element Fair (EFEF 2018) , June 8-9, 2018 , Heidelberg.
(Veranstaltungsbeitrag: Kongress/Konferenz/Symposium/Tagung , Vortrag )

Aizinger, Vadym ; Rupp, Andreas ; Schütz, Jochen ; Knabner, Peter:
Analysis of a mixed discontinuous Galerkin method for instationary Darcy flow.
In: Computational Geosciences. Bd. 22 (2018) Heft 1 . - S. 179-194.
ISSN 1573-1499
DOI: https://doi.org/10.1007/s10596-017-9682-8

Aizinger, Vadym ; Bungert, Leon ; Fried, Michael:
Comparison of two local discontinuous Galerkin formulations for the subjective surfaces problem.
In: Computing and Visualization in Science. Bd. 18 (2018) Heft 6 . - S. 193-202.
ISSN 1433-0369
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. Bd. 12 (2018) Heft 12 . - S. 3931-3947.
ISSN 1994-0424
DOI: https://doi.org/10.5194/tc-12-3931-2018

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. Bd. 75 (2018) Heft 12 . - S. 4505-4533.
ISSN 0898-1221
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. Bd. 15 (2018) Heft 10 . - S. 3093-3106.
ISSN 1726-4189
DOI: https://doi.org/10.5194/bg-15-3093-2018

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. Bd. 102 (2018) . - S. 185-198.
ISSN 1364-8152
DOI: https://doi.org/10.1016/j.envsoft.2018.01.003

2017

Aizinger, Vadym ; Kosík, Adam ; Kuzmin, Dmitri ; Reuter, Balthasar:
Anisotropic slope limiting for discontinuous Galerkin methods.
In: International Journal for Numerical Methods in Fluids. Bd. 84 (2017) Heft 9 . - S. 543-565.
ISSN 0271-2091
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. Bd. 58 (2017) Heft 1 . - S. 147-161.
ISSN 1573-7683
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. Bd. 317 (2017) . - S. 500-509.
ISSN 0377-0427
DOI: https://doi.org/10.1016/j.cam.2016.12.018

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 (Hrsg.): Proceedings of the 2015 Federated Conference on Software Development and Object Technologies. - Cham : Springer International Publishing , 2017 . - S. 19-34
ISBN 978-3-319-46535-7
DOI: https://doi.org/10.1007/978-3-319-46535-7_2

2016

Schönwetter, Dominik ; 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 (Hrsg.): SIMULTECH 2016 : Proceedings of the 6th International Conference on Simulation and Modeling Methodologies, Technologies and Applications. Volume 1. - Setúbal : SCITEPRESS , 2016 . - S. 129-137
ISBN 978-989-758-199-1
DOI: https://doi.org/10.5220/0006006501290137

Jaust, Alexander ; Schütz, Jochen ; Aizinger, Vadym:
An efficient linear solver for the hybridized discontinuous Galerkin method.
In: Proceedings in Applied Mathematics and Mechanics. Bd. 16 (2016) Heft 1 . - S. 845-846.
ISSN 1617-7061
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 + Development. Bd. 31 (2016) Heft 4 . - S. 225-234.
ISSN 2524-8529
DOI: https://doi.org/10.1007/s00450-016-0324-5

Reuter, B. ; Aizinger, Vadym ; Wieland, Manuel ; 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. Bd. 72 (2016) Heft 7 . - S. 1896-1925.
ISSN 0898-1221
DOI: https://doi.org/10.1016/j.camwa.2016.08.006

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 (Hrsg.): Simulation and Modeling Methodologies, Technologies and Applications. - Cham : Springer International Publishing , 2016 . - S. 99-114
ISBN 978-3-319-31295-8
DOI: https://doi.org/10.1007/978-3-319-31295-8_7

2015

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. Bd. 31 (2015) Heft 2 . - S. 397-421.
ISSN 1098-2426
DOI: https://doi.org/10.1002/num.21914

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. Bd. 70 (2015) Heft 1 . - S. 11-46.
ISSN 0898-1221
DOI: https://doi.org/10.1016/j.camwa.2015.04.013

Aizinger, Vadym ; Korn, Peter ; Giorgetta, Marco ; Reich, Sebastian:
Large-scale turbulence modelling via α-regularisation for atmospheric simulations.
In: Journal of Turbulence. Bd. 16 (2015) Heft 4 . - S. 367-391.
ISSN 1468-5248
DOI: https://doi.org/10.1080/14685248.2014.991443

Reuter, Balthasar ; Aizinger, Vadym ; Köstler, Harald:
A multi-platform scaling study for an OpenMP parallelization of a discontinuous Galerkin ocean model.
In: Computers & Fluids. Bd. 117 (2015) . - S. 325-335.
ISSN 0045-7930
DOI: https://doi.org/10.1016/j.compfluid.2015.05.020

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. - s.l. , 2015 . - S. 81-85

Shokina, N. ; Aizinger, Vadym:
On numerical modelling of impulse water waves generated by submarine landslides.
In: Environmental Earth Sciences. Bd. 74 (2015) Heft 11 . - S. 7387-7405.
ISSN 1866-6299
DOI: https://doi.org/10.1007/s12665-015-4746-3

Hinkelmann, Reinhard ; Liang, Q. ; Aizinger, Vadym ; Dawson, Clint:
Robust shallow water models.
In: Environmental Earth Sciences. Bd. 74 (2015) Heft 11 . - S. 7273-7274.
ISSN 1866-6299
DOI: https://doi.org/10.1007/s12665-015-4764-1

Aizinger, Vadym ; Kuzmin, D. ; Korous, L.:
Scale separation in fast hierarchical solvers for discontinuous Galerkin methods.
In: Applied Mathematics and Computation. Bd. 266 (2015) . - S. 838-849.
ISSN 0096-3003
DOI: https://doi.org/10.1016/j.amc.2015.05.047

Schönwetter, Dominik ; Ditter, A. ; Kleinert, B. ; Hendricks, Arne ; Aizinger, Vadym ; Koestler, H. ; Fey, D.:
Tsunami and Storm Surge Simulation Using Low Power Architectures : Concept and Evaluation.
In: Obaidat, Mohammad S. (Hrsg.): SIMULTECH 2015 : Proceedings of the 5th International Conference on Simulation and Modeling Methodologies, Technologies and Applications. Volume 1. - Setúbal : SCITEPRESS , 2015 . - S. 377-382
ISBN 978-989-758-120-5
DOI: https://doi.org/10.5220/0005566603770382

2013

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. Bd. 63 (2013) Heft 1 . - S. 89-113.
ISSN 1616-7228
DOI: https://doi.org/10.1007/s10236-012-0579-8

2012

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. Bd. 231 (2012) Heft 6 . - S. 2396-2413.
ISSN 1090-2716
DOI: https://doi.org/10.1016/j.jcp.2011.11.018

2011

Aizinger, Vadym:
A geometry independent slope limiter for the discontinuous Galerkin method.
In: Krause, Egon ; Shokin, Yurii ; Resch, Michael ; Kröner, Dietmar ; Shokina, Nina (Hrsg.): Computational Science and High Performance Computing IV. - Berlin : Springer , 2011 . - S. 207-217 . - (Notes on Numerical Fluid Mechanics and Multidisciplinary Design ; 115 )
ISBN 978-3-642-17769-9
DOI: https://doi.org/10.1007/978-3-642-17770-5_16

2010

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. (Hrsg.): Micro and Macro Mixing : analysis, simulation and numerical calculation. - Berlin ; Heidelberg : Springer , 2010 . - S. 245-262 . - (Heat and Mass Transfer )
ISBN 978-3-642-26210-4
DOI: https://doi.org/10.1007/978-3-642-04549-3_14

2007

Aizinger, Vadym ; Dawson, Clint:
The local discontinuous Galerkin method for three-dimensional shallow water flow.
In: Computer Methods in Applied Mechanics and Engineering. Bd. 196 (2007) Heft 4-6 . - S. 734-746.
ISSN 0045-7825
DOI: https://doi.org/10.1016/j.cma.2006.04.010

2005

Dawson, Clint ; Aizinger, Vadym:
A discontinuous Galerkin method for three-dimensional shallow water equations.
In: Journal of Scientific Computing. Bd. 22 (2005) Heft 1-3 . - S. 245-267.
ISSN 1573-7691
DOI: https://doi.org/10.1007/s10915-004-4139-3

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. (Hrsg.): Computational Methods in Water Resources. Volume 2. Proceedings of the XVth International Conference on Computational Methods in Water Resources. - Amsterdam : Elsevier , 2004 . - S. 1691-1702 . - (Developments in Water Science ; 55,2 )
ISBN 0-444-51840-1
DOI: https://doi.org/10.1016/S0167-5648(04)80177-1

2002

Aizinger, Vadym ; Dawson, Clint:
A discontinuous Galerkin method for two-dimensional flow and transport in shallow water.
In: Advances in Water Resources. Bd. 25 (2002) Heft 1 . - S. 67-84.
ISSN 1872-9657
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. (Hrsg.): Computational Methods in Water Resources. Volume 2. Proceedings of the XIV International Conference on Computational Methods in Water Resources. - Amsterdam : Elsevier , 2002 . - S. 915-922 . - (Developments in Water Science ; 47,2 )
ISBN 0-444-50975-5

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. (Hrsg.): Resource Recovery, Confinement, and Remediation of Environmental Hazards. - New York : Springer , 2002 . - S. 231-245 . - (The IMA Volumes in Mathematics and its Applications ; 131 )
ISBN 978-1-4612-6553-5
DOI: https://doi.org/10.1007/978-1-4613-0037-3_13

2000

Dawson, Clint ; Aizinger, Vadym ; Cockburn, Bernardo:
The Local Discontinuous Galerkin Method for Contaminant Transport Problems.
In: Cockburn, Bernardo ; Karniadakis, G. E. ; Shu, C.-W. (Hrsg.): Discontinuous Galerkin Methods : Theory, Computation and Applications. - Berlin ; Heidelberg : Springer , 2000 . - S. 309-314 . - (Lecture Notes in Computational Science and Engineering ; 11 )
ISBN 978-3-642-59721-3
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. Bd. 24 (2000) Heft 1 . - S. 73-87.
ISSN 1872-9657
DOI: https://doi.org/10.1016/S0309-1708(00)00022-1

1999

Dawson, Clint ; Aizinger, Vadym:
Upwind-mixed methods for transport equations.
In: Computational Geosciences. Bd. 3 (1999) Heft 2 . - S. 93-110.
ISSN 1573-1499
DOI: https://doi.org/10.1023/A:1011531109949