Dr. techn. Philip L. Lederer

Contact Institute for Analysis and Scientific Computing Wiedner Hauptstrasse 8-10 1040 Wien, Austria Room: DA 03 K22 Tel: +43 1 58801 10123

From 1st of March I will be Assistant Professor at the University of Twente, Netherlands, see UT

Preprints

1. P. L. Lederer, X. Mooslechner and J. Schöberl, "High-order projection-based upwind method for implicit large eddy simulation", (preprint: arXiv:2301.01678)
2. L. Kogler, P. L. Lederer, and J. Schöberl, "A conforming auxiliary space preconditioner for the mass conserving mixed stress method", (preprint: arXiv:2207.08481)
3. P. L. Lederer, R. Stenberg, "Analysis of Weakly Symmetric Mixed Finite Elements for Elasticity", (preprint: https://arxiv.org/abs/2206.14610 arXiv:2206.14610])
4. 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)
5. P. L. Lederer, "A note on asymptotically exact a posteriori error estimates for mixed Laplace eigenvalue problems", (preprint: arXiv:2204.03252)
6. J. Gopalakrishnan, L. Kogler, P. L. Lederer, and J. Schöberl, "Divergence-conforming velocity and vorticity approximations for incompressible fluids obtained with minimal inter-element coupling ", (preprint: arXiv:2112.00089)

Publications

1. T. Gustafsson, P. L. Lederer, "Mixed finite elements for Bingham flow in a pipe", Numerische Mathematik (preprint: arXiv:2205.11149)
2. P. L. Lederer, R. Stenberg, "Energy norm analysis of exactly symmetric mixed finite elements for linear elasticity", Mathematics of Computation (preprint: arXiv:2111.13513)
3. P. L. Lederer, C. Merdon, "Guaranteed upper bounds for the velocity error of pressure-robust Stokes discretisations", de Gruyter Journal of Numerical MathematicsJNMA(preprint: arXiv:2008.05816)
4. 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)
5. P. L. Lederer, "A Hellan-Herrmann-Johnson-like method for the stream function formulation of the Stokes equations in two and three space dimensions", SIAM Journal of Numerical Analysis SIAM (preprint :arXiv:2005.06506)
6. P. L. Lederer, S. Rhebergen, "A pressure-robust embedded discontinuous Galerkin method for the Stokes problem by reconstruction operators", SIAM Journal of Numerical Analysis SIAM (preprint :arXiv:2002.04951)
7. P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Divergence-free tangential finite element methods for incompressible flows on surfaces", Int. J. for Num. Meth. Eng. JNME(preprint :arXiv:1909.06229 )
8. 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)
9. 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)
10. 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)
11. 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)
12. 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)
13. 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)
14. P. L. Lederer, 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)
15. 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

1. 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

1. P. Lederer "A Mass Conserving Mixed Stress Formulation for Incompressible Flows", Dissertation, TU Wien, 2019 pdf
2. 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)
3. 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

1. Award of Excellence 2019 - Staatspreis für die besten Dissertationen (bmbwf)
2. Best Paper Award of the faculty of Mathematics and Geoinformation 2018

Lectures

1. Numerical methods for PDEs (SS 2021) link
2. Finite Element Methods in Computational Fluid Dynamics (WS 2020) link
3. Numerical methods for PDEs (SS 2020) link
4. Numerical methods for PDEs (SS 2019) link
5. Applied Mathematics Foundations (WS 2019) link

Lecture notes

Lecture notes on computational fluid dynamics (not complete) pdf

Exercises for NumCFD2022

1. Exercise1 pdf
2. Exercise2 pdf
3. Exercise3 pdf
4. Exercise4 pdf

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The linked pdf-files are preprint versions and may differ from the original journal publications