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

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

2014 – 2015

2016 – 2017

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

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

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


Publications

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
SPPEXA Final Symposium 2019, ExaStencils, Dresden

Faghih-Naini, Sara; Aizinger, Vadym; Kuckuk, Sebastian; Zint, Daniel; Köstler, Harald; Grosso, Roberto
Quadrature-free Discontinuous Galerkin Method for Shallow-water Equations
2019
Earth System Modeling Summer School, Bad Aibling, Germany

Faghih-Naini, Sara; Aizinger, Vadym; Kuckuk, Sebastian; Zint, Daniel; Köstler, Harald; Grosso, Roberto
Quadrature-free Discontinuous Galerkin Method for Shallow-water Equations
2019
9th International Congress on Industrial and Applied Mathematics, Valencia, Spain

Aizinger, Vadym; Hajduk, Hennes
Bathymetry reconstruction using modified shallow-water equations discretized by a discontinuous Galerkin method
2019
Workshop der GOR-Arbeitsgruppe Simulation und Optimierung komplexer Systeme, Oberammergau, Deutschland

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: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(ed.): Numerical Geometry, Grid Generation and Scientific Computing : Proceedings of the 9th International Conference, NUMGRID 2018 - Cham: Springer International Publishing, 2019. - pp. 87-99
doi:10.1007/978-3-030-23436-2_6 ...

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:10.1016/j.jcp.2019.01.032 ...

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:10.5194/gmd-12-3991-2019 ...

2018

Faghih-Naini, Sara; Aizinger, Vadym
A Quadrature-free Discontinuous Galerkin Method for the Shallow Water Equations
2018
16th European Finite Element Fair (EFEF 2018), Heidelberg

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: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 vol. 18 (2018) issue 6. - pp. 193-202
doi: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: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 vol. 75 (2018) issue 12. - pp. 4505-4533
doi: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: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 vol. 102 (2018) . - pp. 185-198
doi: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 vol. 84 (2017) issue 9. - pp. 543-565
doi: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: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: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(ed.): Proceedings of the 2015 Federated Conference on Software Development and Object Technologies - Cham: Springer International Publishing, 2017. - pp. 19-34
doi:10.1007/978-3-319-46535-7_2 ...

2016

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: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: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:10.1007/s00450-016-0324-5 ...

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: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(ed.): Simulation and Modeling Methodologies, Technologies and Applications - Cham: Springer International Publishing, 2016. - pp. 99-114
doi: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 vol. 31 (2015) issue 2. - pp. 397-421
doi: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 vol. 70 (2015) issue 1. - pp. 11 - 46
doi: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 vol. 16 (2015) issue 4. - pp. 367-391
doi:10.1080/14685248.2014.991443 ...

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) . - pp. 325 - 335
doi: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)
Abstract of the 4th International Tsunami Field Symposium - s.l., 2015. - pp. 81-85
https://publications.rwth-aachen.de/record/571635

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:10.1007/s12665-015-4746-3 ...

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: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 vol. 266 (2015) . - pp. 838-849
doi:10.1016/j.amc.2015.05.047 ...

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: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 vol. 63 (2013) issue 1. - pp. 89-113
doi: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 vol. 231 (2012) issue 6. - pp. 2396-2413
doi: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(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: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.(ed.): Micro and Macro Mixing : analysis, simulation and numerical calculation - Berlin ; Heidelberg: Springer, 2010. - pp. 245-262 . - (Heat and Mass Transfer)
doi: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 vol. 196 (2007) issue 4-6. - pp. 734-746
doi: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 vol. 22 (2005) issue 1-3. - pp. 245-267
doi: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.(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: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 vol. 25 (2002) issue 1. - pp. 67-84
doi: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: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.(ed.): Discontinuous Galerkin Methods : Theory, Computation and Applications - Berlin ; Heidelberg: Springer, 2000. - pp. 309-314 . - (Lecture Notes in Computational Science and Engineering; 11)
doi: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:10.1016/S0309-1708(00)00022-1 ...

1999

Dawson, Clint; Aizinger, Vadym
Upwind-mixed methods for transport equations
in Computational Geosciences vol. 3 (1999) issue 2. - pp. 93-110
doi:10.1023/A:1011531109949 ...

Bild

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


Univ.-Prof. Dr. Vadym Aizinger

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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