A Discontinuous Galerkin Method for Three-Dimensional Shallow Water Equations. - Clint Dawson 001; Vadym Aizinger (J. Sci. Comput., 2005)

A discontinuous/continuous low order finite element shallow water model on the sphere. - Peter D. Düben; Peter Korn; Vadym Aizinger (J. Comput. Phys., 2012)

Tsunami and Storm Surge Simulation Using Low Power Architectures - Concept and Evaluation. - Dominik Schoenwetter; Alexander Ditter; Bruno Kleinert; Arne Hendricks; Vadym Aizinger; Harald Köstler; Dietmar Fey (SIMULTECH, 2015)

Virtualization Guided Tsunami and Storm Surge Simulations for Low Power Architectures. - Dominik Schoenwetter; Alexander Ditter; Bruno Kleinert; Arne Hendricks; Vadym Aizinger; Dietmar Fey (SIMULTECH (Selected Papers), 2015)

Scale separation in fast hierarchical solvers for discontinuous Galerkin methods. - Vadym Aizinger; Dmitri Kuzmin; Lukas Korous (Appl. Math. Comput., 2015)

FESTUNG: A MATLAB/GNU Octave toolbox for the discontinuous Galerkin method, Part I: Diffusion operator. - Florian Frank 001; Balthasar Reuter; Vadym Aizinger; Peter Knabner (Comput. Math. Appl., 2015)

Cache Aware Instruction Accurate Simulation of a 3-D Coastal Ocean Model on Low Power Hardware. - Dominik Schoenwetter; Alexander Ditter; Vadym Aizinger; Balthasar Reuter; Dietmar Fey (SIMULTECH, 2016)

FESTUNG: A MATLAB/GNU Octave toolbox for the discontinuous Galerkin method, Part II: Advection operator and slope limiting. - Balthasar Reuter; Vadym Aizinger; Manuel Wieland; Florian Frank 001; Peter Knabner (Comput. Math. Appl., 2016)

Energy efficiency of the simulation of three-dimensional coastal ocean circulation on modern commodity and mobile processors. - Markus Geveler; Balthasar Reuter; Vadym Aizinger; Dominik Göddeke; Stefan Turek (Comput. Sci. Res. Dev., 2016)

A hierarchical scale separation approach for the hybridized discontinuous Galerkin method. - Jochen Schütz; Vadym Aizinger (J. Comput. Appl. Math., 2017)

A Discontinuous Galerkin Method for the Subjective Surfaces Problem. - Leon Bungert; Vadym Aizinger; Michael Fried (J. Math. Imaging Vis., 2017)

FESTUNG: A MATLAB/GNU Octave toolbox for the discontinuous Galerkin method. Part III: Hybridized discontinuous Galerkin (HDG) formulation. - Alexander Jaust; Balthasar Reuter; Vadym Aizinger; Jochen Schütz; Peter Knabner (Comput. Math. Appl., 2018)

Comparison of two local discontinuous Galerkin formulations for the subjective surfaces problem. - Vadym Aizinger; Leon Bungert; Michael Fried (Comput. Vis. Sci., 2018)

FESTUNG: A MATLAB /GNU Octave toolbox for the discontinuous Galerkin method. Part IV: Generic problem framework and model-coupling interface. - Balthasar Reuter; Andreas Rupp; Vadym Aizinger; Florian Frank 001; Peter Knabner (CoRR, 2018)

Locally Filtered Transport for computational efficiency in multi-component advection-reaction models. - Hennes Hajduk; Ben R. Hodges; Vadym Aizinger; Balthasar Reuter (Environ. Model. Softw., 2018)

Discontinuous Galerkin method for coupling hydrostatic free surface flows to saturated subsurface systems. - Balthasar Reuter; Andreas Rupp; Vadym Aizinger; Peter Knabner (Comput. Math. Appl., 2019)

Towards whole program generation of quadrature-free discontinuous Galerkin methods for the shallow water equations. - Sara Faghih-Naini; Sebastian Kuckuk; Vadym Aizinger; Daniel Zint; Roberto Grosso; Harald Köstler (CoRR, 2019)

New directional vector limiters for discontinuous Galerkin methods. - Hennes Hajduk; Dmitri Kuzmin; Vadym Aizinger (J. Comput. Phys., 2019)

Algorithm-hardware co-design of a discontinuous Galerkin shallow-water model for a dataflow architecture on FPGA. - Tobias Kenter; Adesh Shambhu; Sara Faghih-Naini; Vadym Aizinger (PASC, 2021)

FESTUNG 1.0: Overview, usage, and example applications of the MATLAB/GNU Octave toolbox for discontinuous Galerkin methods. - Balthasar Reuter; Hennes Hajduk; Andreas Rupp; Florian Frank 001; Vadym Aizinger; Peter Knabner (Comput. Math. Appl., 2021)

A subcell-enriched Galerkin method for advection problems. - Andreas Rupp; Moritz Hauck; Vadym Aizinger (Comput. Math. Appl., 2021)

Development and Application of Open-Source Software for Problems with Numerical PDEs. - Fei Xu; Qingang Xiong; Vadym Aizinger; Guillaume Ducrozet (Comput. Math. Appl., 2021)

Scalable Multi-FPGA Design of a Discontinuous Galerkin Shallow-Water Model on Unstructured Meshes. - Jennifer Faj; Tobias Kenter; Sara Faghih-Naini; Christian Plessl; Vadym Aizinger (PASC, 2023)

Shallow Water DG Simulations on FPGAs: Design and Comparison of a Novel Code Generation Pipeline. - Christoph Alt; Tobias Kenter; Sara Faghih-Naini; Jennifer Faj; Jan-Oliver Opdenhövel; Christian Plessl; Vadym Aizinger; Jan Hönig; Harald Köstler (ISC, 2023)

p-adaptive discontinuous Galerkin method for the shallow water equations on heterogeneous computing architectures. - Sara Faghih-Naini; Vadym Aizinger; Sebastian Kuckuk; Richard Angersbach; Harald Köstler (CoRR, 2023)

Enabling Performance Portability for Shallow Water Equations on CPUs, GPUs, and FPGAs with SYCL. - Markus Büttner; Christoph Alt; Tobias Kenter; Harald Köstler; Christian Plessl; Vadym Aizinger (PASC, 2024)

Super-Resolution works for coastal simulations. - Zhi-Song Liu; Markus Büttner; Vadym Aizinger; Andreas Rupp (CoRR, 2024)

Analyzing performance portability for a SYCL implementation of the 2D shallow water equations. - Markus Büttner; Christoph Alt; Tobias Kenter; Harald Köstler; Christian Plessl; Vadym Aizinger (J. Supercomput., 2025)