Difference between revisions of "Philip lederer"

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__NOTOC__ {{DISPLAYTITLE: Dr. techn. Philip Lederer}}
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__NOTOC__ {{DISPLAYTITLE: Dr. techn. Philip L. Lederer}}
  
  
 
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Room: DA 03 K22 <br />
 
Room: DA 03 K22 <br />
 
Tel: +43 1 58801 10123 <br />
 
Tel: +43 1 58801 10123 <br />
Email: [mailto:philip.lederer@tuwien.ac.atNOSPAMPLEASE Philip Lederer]
 
 
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==== Recent publications ====
+
==== Preprints ====
  
#P. L. Lederer, S. Rhebergen, "A pressure-robust embedded discontinuous Galerkin method for the Stokes problem by reconstruction operators", (preprint :[https://arxiv.org/abs/2002.04951 arXiv:2002.04951])
+
# 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, 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, "Divergence-conforming velocity and vorticity approximations for incompressible fluids obtained with minimal inter-element coupling ", (preprint: [https://arxiv.org/abs/12112.00089 arXiv:2112.00089])
  
 
==== Publications ====
 
==== Publications ====
#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, R. Stenberg, "Energy norm analysis of exactly symmetric mixed finite elements for linear elasticity", to appear in Mathematics of Computation (preprint: [https://arxiv.org/abs/2111.13513 arXiv:2111.13513])
# J. Gopalakrishnan, P. L. Lederer, and J. Schöberl, "A mass conserving mixed stress formulation for Stokes flow with weakly imposed stress symmetry", to appear in SIAM Journal on Numerical Analysis (preprint: [https://arxiv.org/abs/1901.04648 arXiv:1901.04648])
+
#P. L. Lederer, C. Merdon, "Guaranteed upper bounds for the velocity error of pressure-robust Stokes discretisations", 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])
 +
#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", 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", 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 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])
 
#P. L. Lederer, C. Merdon, and J. Schöberl, "Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods", Numerische Mathematik [https://link.springer.com/article/10.1007/s00211-019-01049-3 Springer] (preprint: [http://arxiv.org/abs/1712.01625 arXiv:1712.01625])
 
#P. L. Lederer, C. Merdon, and J. Schöberl, "Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods", Numerische Mathematik [https://link.springer.com/article/10.1007/s00211-019-01049-3 Springer] (preprint: [http://arxiv.org/abs/1712.01625 arXiv:1712.01625])
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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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=== Awards ===
 
=== Awards ===
 +
 +
# Award of Excellence 2019 - Staatspreis für die besten Dissertationen ([https://www.bmbwf.gv.at/Ministerium/Staatspreise-und-Auszeichnungen/Staatspreise.html bmbwf])
 
# Best Paper Award of the faculty of Mathematics and Geoinformation 2018
 
# Best Paper Award of the faculty of Mathematics and Geoinformation 2018
# Award of Excellence 2019 - Staatspreis für die besten Dissertationen ([https://www.bmbwf.gv.at/Ministerium/Staatspreise-und-Auszeichnungen/Staatspreise.html bmbwf])
 
  
 
==== Lectures ====
 
==== Lectures ====
  
 +
# Numerical methods for PDEs (SS 2021) [https://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php/Numpde20 link]
 +
# Finite Element Methods in Computational Fluid Dynamics (WS 2020) [https://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php/FEMCFD20 link]
 
# Numerical methods for PDEs (SS 2020) [https://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php/Numpde20 link]
 
# Numerical methods for PDEs (SS 2020) [https://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php/Numpde20 link]
 
# Numerical methods for PDEs (SS 2019) [https://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php/Numpde19 link]
 
# Numerical methods for PDEs (SS 2019) [https://www.asc.tuwien.ac.at/~schoeberl/wiki/index.php/Numpde19 link]
 
# Applied Mathematics Foundations (WS 2019) [https://tiss.tuwien.ac.at/course/courseDetails.xhtml?dswid=3729&dsrid=523&courseNr=101810&semester=2019W&dsrid=74 link]
 
# Applied Mathematics Foundations (WS 2019) [https://tiss.tuwien.ac.at/course/courseDetails.xhtml?dswid=3729&dsrid=523&courseNr=101810&semester=2019W&dsrid=74 link]
 +
 +
==== Lecture notes ====
 +
 +
Lecture notes on computational fluid dynamics (not complete) [http://aurora.asc.tuwien.ac.at/~plederer/lec_notes/fluid_notes.pdf pdf]
 +
 +
 +
----
  
 
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

Revision as of 08:33, 26 August 2022


 

Contact

Institute for Analysis and Scientific Computing
Wiedner Hauptstrasse 8-10
1040 Wien, Austria

Room: DA 03 K22
Tel: +43 1 58801 10123

Preprints

  1. L. Kogler, P. L. Lederer, and J. Schöberl, "A conforming auxiliary space preconditioner for the mass conserving mixed stress method", (preprint: arXiv:2207.08481)
  2. 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])
  3. T. Gustafsson, P. L. Lederer, "Mixed finite elements for Bingham flow in a pipe", (preprint: arXiv:2205.11149)
  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. P. L. Lederer, R. Stenberg, "Energy norm analysis of exactly symmetric mixed finite elements for linear elasticity", to appear in Mathematics of Computation (preprint: arXiv:2111.13513)
  2. P. L. Lederer, C. Merdon, "Guaranteed upper bounds for the velocity error of pressure-robust Stokes discretisations", de Gruyter Journal of Numerical Mathematics JNMA(preprint: arXiv:2008.05816)
  3. 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)
  4. 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)
  5. 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)
  6. 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 )
  7. 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)
  8. 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)
  9. 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)
  10. 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)
  11. 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)
  12. 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)
  13. 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)
  14. 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



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