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Overview
Overview
Bild-cropped-2021 Univ.-Prof. Dr. Vadym Aizinger
Bild-cropped-2021

Faculty of mathematics, physics & computer science
Chair of Scientific Computing


Univ.-Prof. Dr. Vadym Aizinger

Career path

2019 - present

Professor for numerical methods for partial differential equations
Chair of Scientific Computing, University of Bayreuth, Bayreuth, Germany

2017 – 2019

Head of the 'HPC and data processing' group
Computing Center, Alfred Wegener Institute, Helmholtz Centre for Polar and Marine Research, Bremerhaven, Germany

2016 – 2017

2014 – 2015

Temporary Professor (Vertretungsprofessor)
Chair of Applied Mathematics 3, University of Erlangen-Nürnberg, Germany

2012 – 2017

Lecturer (Akad. Rat auf Zeit)
Chair of Applied Mathematics 1, University of Erlangen-Nürnberg, Germany

2010 – 2011

Post-doctoral researcher
Max Planck Institute for Meteorology, Hamburg, Germany

2008 – 2009

Post-doctoral researcher
University of Frankfurt, Germany

2004 – 2008

Post-doctoral researcher
University of Heidelberg, Germany

Education

2019

Habilitation in Mathematics
University of Erlangen-Nürnberg, Germany

2004

PhD in Computational and Applied Mathematics
University of Texas at Austin, USA

1999

Diplom (Master) in Mathematics
University of Erlangen-Nürnberg, Germany

1994

Diplom (Master) in Applied Mathematics
I. Franko Lviv State University, Ukraine
Bild-cropped-2021

Faculty of mathematics, physics & computer science
Chair of Scientific Computing


Main fields of research

  • Numerical methods for partial differential equations
  • High performance computing
  • Modeling of climate and its compartments

Topics and methods

The main focus of my work is the development, analysis, and application of numerical algorithms and discretization schemes for simulation of physical, chemical, and biological processes in environmental and climate applications. The systems being simulated are usually characterized by very large domains with complex geometry; the spatial and temporal scales are highly heterogenious: the simulated phenomena can have sizes between meters and thousands of kilometers and durations from fractions of a second to centuries. These considerations set a very high bar for mathematical modeling skill, efficiency of the numerical methods, and high performance computing (HPC) proficiency.

The discontinuous Galerkin (DG) finite element methods offer many desirable properties that make them an attractive choice for environmental and climate models. These include:

  • robustness for low-regularity problems such as those with shocks and discontinuities;
  • guaranteed local conservation of all unknowns;
  • natural support for arbitrary order approximation spaces;
  • non-conforming meshes and hanging nodes present no difficulty;
  • easy accommodation of h- and p-refinement;
  • local approximation stencils highly suitable for parallel computing.

A relatively high computational cost of DG discretizations compared to the classical finite elements or finite volumes of the same order can be partially offset by superior parallel scaling of DG schemes. In addition, a number of strategies appear to hold promise with regard to increasing method’s efficiency and accuracy

  • mesh adaptivity allows to efficiently utilize computational resources and obtain a more accurate solution in the areas of interest;
  • locality of DG approximation stencils improves parallel scalability on HPC clusters and hybrid computational architectures;
  • approximation space adaptivity permits very high accuracy without excessive computational cost in parts of the computational domain, where the analytical solution is smooth, and relies on low-order approximations otherwise — all this without violating the local conservation properties of the scheme.
Bild-cropped-2021

Faculty of mathematics, physics & computer science
Chair of Scientific Computing


Publications

2021

Journal articles

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

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

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

Book sections and proceedings

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

Other contributions

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

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

2020

Journal articles

Moritz Hauck, Vadym Aizinger, Florian Frank, Hennes Hajduk, Andreas Rupp: Enriched Galerkin method for the shallow-water equations. In: GEM : International Journal on Geomathematics, 11 (2020). - .
doi:10.1007/s13137-020-00167-7

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

Balthasar Reuter, Andreas Rupp, Vadym Aizinger, Florian Frank, Peter Knabner: 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, 28 (2020). - S. 827-876.
doi:10.4208/cicp.OA-2019-0132

Book sections and proceedings

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

Other contributions

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

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

2019

Journal articles

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

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

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

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

Book sections and proceedings

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

Other contributions

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

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

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

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

2018

Journal articles

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

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

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

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

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

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

Other contributions

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

2017

Journal articles

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

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

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

Book sections and proceedings

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

2016

Journal articles

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

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

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

Book sections and proceedings

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

D. Schoenwetter, A. Ditter, Vadym Aizinger, B. Reuter, D. Fey: Cache Aware Instruction Accurate Simulation of a 3-D Coastal Ocean Model on Low Power Hardware. In: Yuri Merkuryev (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.
doi:10.5220/0006006501290137

2015

Journal articles

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

R. Hinkelmann, Q. Liang, Vadym Aizinger, Clint Dawson: Robust shallow water models. In: Environmental Earth Sciences, 74 (2015). - S. 7273-7274.
doi:10.1007/s12665-015-4764-1

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

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

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

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

Chris Mirabito, Clint Dawson, Vadym Aizinger: 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, 31 (2015). - S. 397-421.
doi:10.1002/num.21914

Book sections and proceedings

D. Schoenwetter, A. Ditter, B. Kleinert, A. Hendricks, Vadym Aizinger, H. Koestler, D. Fey: Tsunami and Storm Surge Simulation Using Low Power Architectures : Concept and Evaluation. In: Mohammad S. Obaidat (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.
doi:10.5220/0005566603770382

Jan Oetjen, Max Engel, Christoph Effkemann, Simon M. May, Shiva P. Pudasaini, Theide Wöffler, Vadym Aizinger, Holger Schüttrumpf, Helmut Brückner: 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.

2013

Journal articles

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

2012

Journal articles

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

2011

Book sections and proceedings

Vadym Aizinger: A geometry independent slope limiter for the discontinuous Galerkin method. In: Egon Krause, Yurii Shokin, Michael Resch, Dietmar Kröner, Nina Shokina (Hrsg.): Computational Science and High Performance Computing IV. - Berlin, Heidelberg : Springer, 2011. - S. 207-217.
doi:10.1007/978-3-642-17770-5_16

2010

Book sections and proceedings

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

2007

Journal articles

Vadym Aizinger, Clint Dawson: The local discontinuous Galerkin method for three-dimensional shallow water flow. In: Computer Methods in Applied Mechanics and Engineering, 196 (2007). - S. 734-746.
doi:10.1016/j.cma.2006.04.010

2005

Journal articles

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

2004

Book sections and proceedings

Vadym Aizinger, Clint Dawson: A discontinuous Galerkin method for three-dimensional shallow water flows with free surface. In: Cass T. Miller, M. W. Farthing, W. G. Gray, G. F. Pinder (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.
doi:10.1016/S0167-5648(04)80177-1

2002

Journal articles

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

Book sections and proceedings

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

Clint Dawson, Vadym Aizinger: Discontinuous Galerkin methods for shallow water flow and transport. In: S. Majid Hassanizadeh, R. J. Schotting, W.G. Gray, G. F. Pinder (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.

2000

Journal articles

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

Book sections and proceedings

Clint Dawson, Vadym Aizinger, Bernardo Cockburn: The Local Discontinuous Galerkin Method for Contaminant Transport Problems. In: Bernardo Cockburn, G. E. Karniadakis, C.-W. Shu (Hrsg.): Discontinuous Galerkin Methods : Theory, Computation and Applications. - Berlin ; Heidelberg : Springer, 2000. - S. 309-314.
doi:10.1007/978-3-642-59721-3_26

1999

Journal articles

Clint Dawson, Vadym Aizinger: Upwind-mixed methods for transport equations. In: Computational Geosciences, 3 (1999). - S. 93-110.
doi:10.1023/A:1011531109949

Bild-cropped-2021

Faculty of mathematics, physics & computer science
Chair of Scientific Computing


Univ.-Prof. Dr. Vadym Aizinger
Professor

Office: NW III, 2.32

Phone: +49-921-55 7873
E-mail: vadym.aizinger@uni-bayreuth.de
Google Scholar: link
ORCID: link
ResearchGate: link

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