Dirk Pauly
![Dirk Pauly](pics/pauly_blue.jpg)
Room: | Willersbau, WIL C-212 |
Phone: | +49 (0) 351 463 35581 |
Email: | dirk.pauly@tu-dresden.de |
Homepages: | TUDD1 and TUDD2 |
Office Hours: | by arrangement |
Address: | Technische Universität Dresden (TUDD) |
Fakultät Mathematik | |
Institut für Analysis | |
Zellescher Weg 12-14 | |
01069 Dresden, Germany |
Research Interests
- Analysis (FA / PDEs in Bounded and Unbounded Domains):
Maxwell's Equations, Hilbert Complexes, FA-ToolBox, Compact Embeddings,
Poincare Type Estimates, Hodge-Helmholtz type decompositions - Applied and Numerical Analysis:
Poincare Type Constants, Functional A Posteriori Error Estimates
Publications
![Dirk Pauly](pics/pauly_well.jpg)
CV
1971: Geburt in Essen
1990: Abitur, DBG Essen
1997: Diplom, UE (Universität Essen, Diplomarbeit)
2003: Promotion, UDE (Universität Duisburg-Essen, Dissertation)
2009: Dosentti, JYU (Jyväskylän Yliopisto)
2010: Habilitation, UDE
1990: Zivildienst, Bochum
1991: Student, UE
1997: Wissenschaftlicher Mitarbeiter, UE
2003: Wissenschaftlicher Assistent, UDE
2009: Adjunct Professor, JYU
2010: Privatdozent, UDE
2011: Professor, UDE (Vertretungsprofessur)
2013: Professor, UDE (Universitätsprofessur für Mathematik, speziell für die Studieneingangsphase)
2022: Privatdozent, TUDD
2024: Professor, TUDD (Außerplanmäßige Professur für Angewandte Funktionalanalysis)
2006: Visiting Professor, JYU
2007: Visiting Professor, JYU
2008: Visiting Professor, JYU
2009: Visiting Professor, JYU
2016: Visiting Professor, RICAM and JKU (Linz)
Upcoming Events
-
AANMPDE 13
13th Workshop on Analysis and Advanced Numerical Methods for Partial Differential Equations, location and date TBA
(organizers: H. Egger, D. Pauly, S. Repin, M. Waurick)
Recent Events
- HilCom-MFO-2225
MFO-Workshop, June 2022
(organizers: A. Alonso, D. Arnold, D. Pauly, F. Rapetti)
Hilbert Complexes: Analysis, Applications, and Discretizations, talks - ANADay 2022
Austrian Numerical Analysis Day 2022, Linz, May 2022
Talk in Colloquium Session (retirement of Ulrich Langer and Walter Zulehner)
Selected Recent Publications
![Biharmonic Complex: Compact Embeddings and FA-ToolBox](pics/biharmonic.jpg)
![Elasticity Complex: Compact Embeddings and FA-ToolBox](pics/elasticity.jpg)
![Friedrichs/Poincare/Maxwell Constants](pics/constants.jpg)
![A Posteriori Error Estimates for BEM-FEM Coupling](pics/bemfem.jpg)
![Solution Theory, Variational Formulations, and A Posteriori Error Estimates for First Order Systems](pics/apost.jpg)
![De Rham Complex: Compact Embeddings and FA-ToolBox](pics/derham.jpg)
![De Rham Complex: Compact Embeddings, FA-ToolBox, and Applications for Mixed L2-Traces](pics/compact.jpg)
![Fredholm Index of Mixed Order Dirac-Type Operators and Generalised Dirichlet-Neumann Tensor Fields](pics/index.jpg)
![Maxwell's Equations: Analysis and Numerics (De Gruyter)](pics/book2019.jpg)
![Global div-curl Lemma for Weak Lipschitz Domains](pics/divcurl.jpg)
![Korn’s Inequality for Tangential or Normal Boundary Conditions with Explicit Constants
and a Link to Results of Villani](pics/korn.jpg)
![Hilbert Complexes with Mixed Boundary Conditions - Part 1: De Rham Complex](pics/derhammbc.jpg)
![Hilbert Complexes with Mixed Boundary Conditions - Part 2: Elasticity Complex](pics/elasticitymbc.jpg)
![Traces for Hilbert Complexes](pics/traces.jpg)
![Hilbert Complexes with Mixed Boundary Conditions - Part 3: Biharmonic Complexes](pics/biharmonicmbc.jpg)
![Families of Annihilating Skew-Selfadjoint Operators and their Connection to Hilbert Complexes](pics/anni-fam.jpg)
Links
- Have a look at the wave simulator by Jukka Räbinä (JYU).
- Have a look at DorFuchs by Johann Beurich (TUDD).