Research Foci
- Unfitted Discontinuous Galerkin Methods
- Gamma Convergence
- Skeletonization algorithms
- Fracture propagation
- Isogeometric Analysis
Doctoral AbstractThesis
An unfitted discontinuous Galerkin scheme for a phase-field approximation of pressurized fractures
- Supervisor
- Prof. Dr. Christian Engwer
- Doctoral Subject
- Mathematik
- Doctoral Degree
- Dr. rer. nat.
- Awarded by
- Department 10 – Mathematics and Computer Science
Publication
- Sommer, Liesel. . An unfitted discontinuous Galerkin scheme for a phase-field approximation of pressurized fractures,, [Electronic ed.], edited by C Engwer.
CV
Academic Education
- studies abroad at Universite de Bordeaux
- Abitur at the Carl-Zeiss Gymnasium Jena
- diploma in mathematics
Positions
- research assistent at the Institute for Applied Mathematics, WWU
- student assistant and research assistant at WIAS Berlin
Teaching
- Praktikum: Non-linear modelling in the natural sciences [104436]
(in cooperation with apl. Prof. Svetlana Gurevich, Tobias Leibner, Jun.-Prof. Arndt Telschow, Prof. Dr. Andreas Heuer, Prof. Dr. Christian Engwer)
- Praktikum: Non-linear modelling in the natural sciences [100387]
(in cooperation with apl. Prof. Svetlana Gurevich, Jun.-Prof. Arndt Telschow, Prof. Dr. Andreas Heuer, Prof. Dr. Christian Engwer, Dr. Felix Schindler, Prof. Dr. Mario Ohlberger)
- Tutorial Numerical Linear Algebra [106224]
(in cooperation with Prof. Dr. Christian Engwer)
- Tutorial Scientific Computing [102411]
(in cooperation with Prof. Dr. Christian Engwer)
- Vorlesung: Numerical Analysis of Partial Differential Equations II [104708]
(in cooperation with Prof. Dr. Christian Engwer) - Tutorial Numerical Analysis of Partial Differential Equations II [104712]
(in cooperation with Prof. Dr. Christian Engwer)
- Praktikum: Non linear Modelling in Natural Sciences [103756]
(in cooperation with apl. Prof. Svetlana Gurevich, Jun.-Prof. Arndt Telschow, Prof. Dr. Andreas Heuer, Dr. Christian Himpe, Prof. Dr. Christian Engwer, Prof. Dr. Mario Ohlberger)
- Praktikum: Non-linear modelling in the natural sciences [104436]
Publications
- Bach, A, and Sommer, L. . “A Gamma-convergence result for fluid-filled fracture propagationDO - 10.1051/m2an/2020016.” ESAIM: Mathematical Modelling and Numerical Analysis, № 54 (3) doi: 10.1051/m2an/2020016.
- Sommer, Liesel. . An unfitted discontinuous Galerkin scheme for a phase-field approximation of pressurized fractures,, [Electronic ed.], edited by C Engwer.
- Engwer, C, and Schumacher, L. . “A phase field approach to pressurized fractures using discontinuous Galerkin methods.” Mathematics and Computers in Simulation, № 137: –. doi: 10.1016/j.matcom.2016.11.001.
- John, V, and Schumacher, L. . “A study of isogeometric analysis for scalar convection–diffusion equations.” Applied Mathematics Letters, № 27: 43–48. doi: 10.1016/j.aml.2013.08.004.