Difference between revisions of "Philip lederer"
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# P. L. Lederer, "A note on asymptotically exact a posteriori error estimates for mixed Laplace eigenvalue problems", (preprint: [http://arxiv.org/abs/2204.03252 arXiv:2204.03252]) | # P. L. Lederer, "A note on asymptotically exact a posteriori error estimates for mixed Laplace eigenvalue problems", (preprint: [http://arxiv.org/abs/2204.03252 arXiv:2204.03252]) | ||
# J. Gopalakrishnan, L. Kogler, P. L. Lederer, and J. Schöberl, "Minimal order H(div)-conforming velocity-vorticity approximations for incompressible fluids", (preprint: [https://arxiv.org/abs/12112.00089 arXiv:2112.00089]) | # J. Gopalakrishnan, L. Kogler, P. L. Lederer, and J. Schöberl, "Minimal order H(div)-conforming velocity-vorticity approximations for incompressible fluids", (preprint: [https://arxiv.org/abs/12112.00089 arXiv:2112.00089]) | ||
− | # P. L. Lederer, R. Stenberg, " | + | # P. L. Lederer, R. Stenberg, "Energy norm analysis of exactly symmetric mixed finite elements for elasticity", (preprint: [https://arxiv.org/abs/2111.13513 arXiv:2111.13513]) |
==== Publications ==== | ==== Publications ==== |
Revision as of 12:09, 16 August 2022
ContactInstitute for Analysis and Scientific Computing Room: DA 03 K22 |
Preprints
- L. Kogler, P. L. Lederer, and J. Schöberl, "A conforming auxiliary space preconditioner for the mass conserving mixed stress method", (preprint: arXiv:2207.08481)
- P. L. Lederer, R. Stenberg, "Analysis of Mixed Finite Elements for Elasticity. II. Weak stress symmetry", (preprint: https://arxiv.org/abs/2206.14610 arXiv:2206.14610])
- T. Gustafsson, P. L. Lederer, "Mixed finite elements for Bingham flow in a pipe", (preprint: arXiv:2205.11149)
- J. Kraus, P. L. Lederer, M. Lymbery, K. Osthues, J. Schöberl, "Hybridized Discontinuous Galerkin Methods for a Multiple Network Poroelasticity Model with Medical Applications", (preprint: arXiv:2205.06732)
- P. L. Lederer, "A note on asymptotically exact a posteriori error estimates for mixed Laplace eigenvalue problems", (preprint: arXiv:2204.03252)
- J. Gopalakrishnan, L. Kogler, P. L. Lederer, and J. Schöberl, "Minimal order H(div)-conforming velocity-vorticity approximations for incompressible fluids", (preprint: arXiv:2112.00089)
- P. L. Lederer, R. Stenberg, "Energy norm analysis of exactly symmetric mixed finite elements for elasticity", (preprint: arXiv:2111.13513)
Publications
- P. L. Lederer, C. Merdon, "Guaranteed upper bounds for the velocity error of pressure-robust Stokes discretisations", to appear in de Gruyter Journal of Numerical Mathematics (preprint: arXiv:2008.05816)
- J. Kraus, P. L. Lederer, M. Lymbery, J. Schöberl, "Uniformly well-posed hybridized discontinuous Galerkin/hybrid mixed discretizations for Biot's consolidation model", Computer Methods in Applied Mechanics and Engineering CMAME (preprint: arXiv:2012.08584)
- P. L. Lederer, "A Hellan-Herrmann-Johnson-like method for the stream function formulation of the Stokes equations in two and three space dimensions", to appear in SIAM Journal of Numerical Analysis(preprint :arXiv:2005.06506)
- P. L. Lederer, S. Rhebergen, "A pressure-robust embedded discontinuous Galerkin method for the Stokes problem by reconstruction operators", to appear in SIAM Journal of Numerical Analysis (preprint :arXiv:2002.04951)
- P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Divergence-free tangential finite element methods for incompressible flows on surfaces", to appear in Int. J. for Num. Meth. Eng. (preprint :arXiv:1909.06229 )
- J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for Stokes flow with weakly imposed stress symmetry", SIAM Journal on Numerical Analysis SIAM (preprint: arXiv:1901.04648)
- J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for the Stokes equations", IMA Journal of Numerical Analysis IMA (preprint: arXiv:1806.07173)
- P. L. Lederer, C. Merdon, and J. Schöberl, "Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods", Numerische Mathematik Springer (preprint: arXiv:1712.01625)
- P. W. Schroeder, V. John, P. L. Lederer, C. Lehrenfeld, G. Lube, and J. Schöberl, "On reference solutions and the sensitivity of the 2d Kelvin-Helmholtz instability problem", Computers & Mathematics with Applications Elsevier (preprint: arXiv:1803.06893)
- P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part II", ESAIM:Mathematical Modelling and Numerical Analysis M2AN (preprint: arXiv:1805.06787)
- P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part I", SIAM Journal on Numerical Analysis SIAM (preprint: arXiv:1707.02782)
- P. L. Lederer and J. Schöberl, "Polynomial robust stability analysis for H(div)-conforming finite elements for the Stokes equations", IMA Journal of Numerical Analysis IMA (preprint: https://arxiv.org/abs/1612.01482)
- P. L. Lederer, A. Linke, C. Merdon, and J. Schöberl, "Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations With Continuous Pressure Finite Elements", SIAM Journal on Numerical Analysis SIAM (preprint: arXiv:1609.03701)
Proceeding articles
- Philip Lederer, Carl-Martin Pfeiler, Christoph Wintersteiger, and Christoph Lehrenfeld. Higher order unfitted fem for stokes interface problems. PAMM, 16(1):7--10, 2016. http
Theses
- P. Lederer "A Mass Conserving Mixed Stress Formulation for Incompressible Flows", Dissertation, TU Wien, 2019 pdf
- P. Lederer, "Pressure Robust Discretizations for Navier Stokes Equations: Divergence-free Reconstruction for Taylor-Hood Elements and High Order Hybrid Discontinuous Galerkin Methods", Diploma thesis, TU Wien, 2016, pdf (including fixes)
- P. Lederer, "Numerical computation for the incompressible Navier Stokes equations and the coupling with the convection diffusion equation for the temperature", Bachelor thesis, TU Wien, 2013, pdf
Awards
- Award of Excellence 2019 - Staatspreis für die besten Dissertationen (bmbwf)
- Best Paper Award of the faculty of Mathematics and Geoinformation 2018
Lectures
- Numerical methods for PDEs (SS 2021) link
- Finite Element Methods in Computational Fluid Dynamics (WS 2020) link
- Numerical methods for PDEs (SS 2020) link
- Numerical methods for PDEs (SS 2019) link
- Applied Mathematics Foundations (WS 2019) link
Lecture notes
Lecture notes on computational fluid dynamics (not complete) pdf
The linked pdf-files are preprint versions and may differ from the original journal publications