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
- diploma in mathematics
- studies abroad at Universite de Bordeaux
- Abitur at the Carl-Zeiss Gymnasium Jena
Positions
- research assistent at the Institute for Applied Mathematics, WWU
- student assistant and research assistant at WIAS Berlin
Teaching
- Practical: Nichtlineare Modellierung in den Naturwissenschaften [104436]
(in cooperation with Prof. Dr. Andreas Heuer, Prof. Dr. Christian Engwer, apl. Prof.Svetlana Gurevich, Tobias Leibner and Jun.-Prof.Arndt Telschow)
- Practical: Nichtlineare Modellierung in den Naturwissenschaften [100387]
(in cooperation with Prof. Dr. Andreas Heuer, Prof. Dr. Christian Engwer, apl. Prof.Svetlana Gurevich, Dr. Felix Schindler, Prof. Dr. Mario Ohlberger and Jun.-Prof.Arndt Telschow)
- Practice: Übungen zur Vorlesung Numerische Lineare Algebra [106224]
(in cooperation with Prof. Dr. Christian Engwer)
- Practice: Übung zur Vorlesung Wissenschaftliches Rechnen [102411]
(in cooperation with Prof. Dr. Christian Engwer)
- Lecture: Numerik Partieller Differentialgleichungen II [104708]
(in cooperation with Prof. Dr. Christian Engwer) - Practice: Übungen zu Numerik Partieller Differentialgleichungen II [104712]
(in cooperation with Prof. Dr. Christian Engwer)
- Practical: Nichtlineare Modellierung in den Naturwissenschaften [103756]
(in cooperation with Prof. Dr. Christian Engwer, apl. Prof.Svetlana Gurevich, Prof. Dr. Mario Ohlberger, Jun.-Prof.Arndt Telschow, Prof. Dr. Andreas Heuer and Dr. Christian Himpe)
- Practical: Nichtlineare Modellierung in den Naturwissenschaften [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.