Difference between revisions of "Philip lederer"

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'''From 1st of March I will be Assistant Professor at the University of Twente, Netherlands, see [https://people.utwente.nl/p.l.lederer UT]'''
  
 
==== Preprints ====
 
==== Preprints ====
 
+
# P.L. Lederer, C. Merdon" "Gradient-robust hybrid DG discretizations for the compressible Stokes equations" (preprint: [https://arxiv.org/abs/2311.06098 arXiv:2311.06098])
# L. Kogler, P. L. Lederer, and J. Schöberl, "A conforming auxiliary space preconditioner for the mass conserving mixed stress method", (preprint: [https://arxiv.org/abs/2207.08481 arXiv:2207.08481])
+
# P.L. Lederer, C. Lehrenfeld, P. Stocker, "Trefftz Discontinuous Galerkin discretization for the Stokes problem" (preprint: [https://arxiv.org/abs/2306.14600 arXiv:2306.14600])
# 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: [https://arxiv.org/abs/2205.11149 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: [http://arxiv.org/abs/2205.06732 arXiv:2205.06732])
 
# 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])
 
# P. L. Lederer, R. Stenberg, "Analysis of Mixed Finite Elements for Elasticity. I. Exact stress symmetry", (preprint: [https://arxiv.org/abs/2111.13513 arXiv:2111.13513])
 
  
 
==== Publications ====
 
==== 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: [http://arxiv.org/abs/2008.05816 arXiv:2008.05816])
+
# S. Doppler, P. L. Lederer, J. Schöberl, H. von Wahl, "A discontinuous Galerkin approach for atmospheric flows with implicit condensation" [https://www.sciencedirect.com/science/article/pii/S0021999123008082 JCP] (preprint: [https://arxiv.org/abs/2305.13847 arXiv:2305.13847])
 +
# J. Kraus, P. L. Lederer, M. Lymbery, K. Osthues, J. Schöberl, "Hybridized Discontinuous Galerkin Methods for a Multiple Network Poroelasticity Model with Medical Applications", SIAM SISC (preprint: [http://arxiv.org/abs/2205.06732 arXiv:2205.06732])
 +
# P. L. Lederer, X. Mooslechner and J. Schöberl, "High-order projection-based upwind method for implicit large eddy simulation", Journal of Computational Physics [https://www.sciencedirect.com/science/article/pii/S0021999123005879 JCP] (preprint: [https://arxiv.org/abs/2301.01678 arXiv:2301.01678])
 +
# L. Kogler, P. L. Lederer, and J. Schöberl, "A conforming auxiliary space preconditioner for the mass conserving mixed stress method", Numerical Linear Algebra with Applications [https://doi.org/10.1002/nla.2503 NLA](preprint: [https://arxiv.org/abs/2207.08481 arXiv:2207.08481])
 +
# P. L. Lederer, R. Stenberg, "Analysis of Weakly Symmetric Mixed Finite Elements for Elasticity", Mathematics of Computations [https://doi.org/10.1090/mcom/3865 MathComp](preprint: https://arxiv.org/abs/2206.14610 arXiv:2206.14610])
 +
# P. L. Lederer, "A note on asymptotically exact a posteriori error estimates for mixed Laplace eigenvalue problems", Springer BIT Numerical Mathematics [https://link.springer.com/article/10.1007/s10543-023-00976-w BIT] (preprint: [http://arxiv.org/abs/2204.03252 arXiv:2204.03252])
 +
# J. Gopalakrishnan, L. Kogler, P. L. Lederer, and J. Schöberl, "Divergence-Conforming Velocity and Vorticity Approximations for Incompressible Fluids Obtained with Minimal Facet Coupling", Springer Journal of Scientific Computing [https://link.springer.com/article/10.1007/s10915-023-02203-8 JSC](preprint: [https://arxiv.org/abs/12112.00089 arXiv:2112.00089])
 +
# T. Gustafsson, P. L. Lederer, "Mixed finite elements for Bingham flow in a pipe",  [https://link.springer.com/article/10.1007/s00211-022-01332-w Numerische Mathematik ](preprint: [https://arxiv.org/abs/2205.11149 arXiv:2205.11149])
 +
# P. L. Lederer, R. Stenberg, "Energy norm analysis of exactly symmetric mixed finite elements for linear elasticity", [https://www.ams.org/journals/mcom/0000-000-00/S0025-5718-2022-03784-4/?active=current Mathematics of Computation] (preprint: [https://arxiv.org/abs/2111.13513 arXiv:2111.13513])
 +
#P. L. Lederer, C. Merdon, "Guaranteed upper bounds for the velocity error of pressure-robust Stokes discretisations", [https://doi.org/10.1515/jnma-2021-0078 de Gruyter Journal of Numerical Mathematics][https://www.degruyter.com/document/doi/10.1515/jnma-2021-0078/ JNMA](preprint: [http://arxiv.org/abs/2008.05816 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 [https://doi.org/10.1016/j.cma.2021.113991 CMAME] (preprint: [https://arxiv.org/abs/2012.08584 arXiv:2012.08584])
 
#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 [https://doi.org/10.1016/j.cma.2021.113991 CMAME] (preprint: [https://arxiv.org/abs/2012.08584 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 :[https://arxiv.org/abs/2005.06506 arXiv:2005.06506])
+
#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 [https://epubs.siam.org/doi/abs/10.1137/20M1338034 SIAM] (preprint :[https://arxiv.org/abs/2005.06506 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 :[https://arxiv.org/abs/2002.04951 arXiv:2002.04951])
+
#P. L. Lederer, S. Rhebergen, "A pressure-robust embedded discontinuous Galerkin method for the Stokes problem by reconstruction operators", SIAM Journal of Numerical Analysis [https://epubs.siam.org/doi/10.1137/20M1318389 SIAM] (preprint :[https://arxiv.org/abs/2002.04951 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 :[https://arxiv.org/abs/1909.06229 arXiv:1909.06229 ])
+
#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. [https://onlinelibrary.wiley.com/doi/full/10.1002/nme.6317 JNME](preprint :[https://arxiv.org/abs/1909.06229 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 [https://epubs.siam.org/doi/abs/10.1137/19M1248960?mobileUi=0 SIAM] (preprint: [https://arxiv.org/abs/1901.04648 arXiv:1901.04648])
 
# 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 [https://epubs.siam.org/doi/abs/10.1137/19M1248960?mobileUi=0 SIAM] (preprint: [https://arxiv.org/abs/1901.04648 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 [https://academic.oup.com/imajna/advance-article/doi/10.1093/imanum/drz022/5485875 IMA] (preprint: [https://arxiv.org/abs/1806.07173 arXiv:1806.07173])
 
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for the Stokes equations",  IMA Journal of Numerical Analysis [https://academic.oup.com/imajna/advance-article/doi/10.1093/imanum/drz022/5485875 IMA] (preprint: [https://arxiv.org/abs/1806.07173 arXiv:1806.07173])
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#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 [https://www.esaim-m2an.org/articles/m2an/abs/2019/02/m2an180096/m2an180096.html M2AN] (preprint: [https://arxiv.org/abs/1805.06787 arXiv:1805.06787])
 
#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 [https://www.esaim-m2an.org/articles/m2an/abs/2019/02/m2an180096/m2an180096.html M2AN] (preprint: [https://arxiv.org/abs/1805.06787 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 [https://epubs.siam.org/doi/abs/10.1137/17M1138078 SIAM] (preprint: [https://arxiv.org/abs/1707.02782 arXiv:1707.02782])
 
#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 [https://epubs.siam.org/doi/abs/10.1137/17M1138078 SIAM] (preprint: [https://arxiv.org/abs/1707.02782 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 [https://doi.org/10.1093/imanum/drx051 IMA] (preprint: https://arxiv.org/abs/1612.01482)
+
# P. L. Lederer, J. Schöberl, "Polynomial robust stability analysis for H(div)-conforming finite elements for the Stokes equations", IMA Journal of Numerical Analysis [https://doi.org/10.1093/imanum/drx051 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 [https://epubs.siam.org/doi/abs/10.1137/16M1089964 SIAM] (preprint: [https://arxiv.org/abs/1609.03701 arXiv:1609.03701])
 
#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 [https://epubs.siam.org/doi/abs/10.1137/16M1089964 SIAM] (preprint: [https://arxiv.org/abs/1609.03701 arXiv:1609.03701])
  
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Lecture notes on computational fluid dynamics (not complete) [http://aurora.asc.tuwien.ac.at/~plederer/lec_notes/fluid_notes.pdf pdf]
 
Lecture notes on computational fluid dynamics (not complete) [http://aurora.asc.tuwien.ac.at/~plederer/lec_notes/fluid_notes.pdf pdf]
  
 +
==== Exercises for NumCFD2022 ====
 +
 +
# Exercise1 [http://aurora.asc.tuwien.ac.at/~plederer/exercise/exercise1.pdf pdf]
 +
# Exercise2 [http://aurora.asc.tuwien.ac.at/~plederer/exercise/exercise2.pdf pdf]
 +
# Exercise3 [http://aurora.asc.tuwien.ac.at/~plederer/exercise/exercise3.pdf pdf]
 +
# Exercise4 [http://aurora.asc.tuwien.ac.at/~plederer/exercise/exercise4.pdf pdf]
  
 
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The linked pdf-files are preprint versions and may differ from the original journal publications
 
The linked pdf-files are preprint versions and may differ from the original journal publications

Latest revision as of 14:19, 6 March 2024


 

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, C. Merdon" "Gradient-robust hybrid DG discretizations for the compressible Stokes equations" (preprint: arXiv:2311.06098)
  2. P.L. Lederer, C. Lehrenfeld, P. Stocker, "Trefftz Discontinuous Galerkin discretization for the Stokes problem" (preprint: arXiv:2306.14600)

Publications

  1. S. Doppler, P. L. Lederer, J. Schöberl, H. von Wahl, "A discontinuous Galerkin approach for atmospheric flows with implicit condensation" JCP (preprint: arXiv:2305.13847)
  2. J. Kraus, P. L. Lederer, M. Lymbery, K. Osthues, J. Schöberl, "Hybridized Discontinuous Galerkin Methods for a Multiple Network Poroelasticity Model with Medical Applications", SIAM SISC (preprint: arXiv:2205.06732)
  3. P. L. Lederer, X. Mooslechner and J. Schöberl, "High-order projection-based upwind method for implicit large eddy simulation", Journal of Computational Physics JCP (preprint: arXiv:2301.01678)
  4. L. Kogler, P. L. Lederer, and J. Schöberl, "A conforming auxiliary space preconditioner for the mass conserving mixed stress method", Numerical Linear Algebra with Applications NLA(preprint: arXiv:2207.08481)
  5. P. L. Lederer, R. Stenberg, "Analysis of Weakly Symmetric Mixed Finite Elements for Elasticity", Mathematics of Computations MathComp(preprint: https://arxiv.org/abs/2206.14610 arXiv:2206.14610])
  6. P. L. Lederer, "A note on asymptotically exact a posteriori error estimates for mixed Laplace eigenvalue problems", Springer BIT Numerical Mathematics BIT (preprint: arXiv:2204.03252)
  7. J. Gopalakrishnan, L. Kogler, P. L. Lederer, and J. Schöberl, "Divergence-Conforming Velocity and Vorticity Approximations for Incompressible Fluids Obtained with Minimal Facet Coupling", Springer Journal of Scientific Computing JSC(preprint: arXiv:2112.00089)
  8. T. Gustafsson, P. L. Lederer, "Mixed finite elements for Bingham flow in a pipe", Numerische Mathematik (preprint: arXiv:2205.11149)
  9. P. L. Lederer, R. Stenberg, "Energy norm analysis of exactly symmetric mixed finite elements for linear elasticity", Mathematics of Computation (preprint: arXiv:2111.13513)
  10. 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)
  11. 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)
  12. 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)
  13. 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)
  14. 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 )
  15. 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)
  16. 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)
  17. 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)
  18. 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)
  19. 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)
  20. 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)
  21. 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)
  22. 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

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