Marian Piatkowski
Contact
Former group member.
Mail: marian.piatkowski at iwr.uni-heidelberg.de
Research Interests
- Numerical solution of partial differential equations (PDEs)
- Development of software for Scientific Computing
- High Performance Computing
- Iterative Solvers
- Incompressible Flows
- Discontinuous Galerkin methods
Publications
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M. Piatkowski, P.Bastian: A high-order discontinuous Galerkin pressure robust splitting scheme for incompressible flows. Submitted to CMAME Special Issue in Honor of Professor Mary F. Wheeler. arXiv
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M. Piatkowski: A Spectral Discontinuous Galerkin method for incompressible flow with Applications to turbulence. PhD Thesis, 2019, Heidelberg University (link)
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P. Bastian, E. Müller, S. Müthing, M. Piatkowski: Matrix-free multigrid block-preconditioners for higher order Discontinuous Galerkin discretisations. Journal of Computational Physics, volume 394, 417–439, 2019, Elsevier (link)
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S. Müthing, M. Piatkowski, P. Bastian: High-performance Implementation of Matrix-free High-order Discontinuous Galerkin Methods. Submitted to International Journal on High Performance Computing Applications. arXiv
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M. Piatkowski, S. Müthing, P. Bastian: A Stable and High-Order Accurate Discontinuous Galerkin Based Splitting Method for the Incompressible Navier-Stokes Equations. Journal of Computational Physics, volume 356, 220–239, 2018, Elsevier (link)