Philip lederer

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

Theses

1. 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)
2. 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

Recent publications

1. J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for the Stokes equations", arXiv:1806.07173
2. P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part II", arXiv:1805.06787
3. 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", arXiv:1803.06893
4. P. L. Lederer, C. Merdon, and J. Schöberl, "Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods", arXiv:1712.01625

Publications

1. P. L. Lederer, C. Lehrenfeld, and J. Schöberl, "Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part I", To be published in SIAM Journal on Numerical Analysis arXiv:1707.02782
2. 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, drx051, https://doi.org/10.1093/imanum/drx051 (2017), https://arxiv.org/abs/1612.01482
3. 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, Vol. 55(3), pp. 1291-1314(2017) 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