Variational Convergence and Discrete Minimal Surfaces

von Henrik Schumacher
Dissertation
Datum der mündl. Prüfung:2014-12-09
Erschienen:2015-11-05
Betreuer:Prof. Dr. Max Wardetzky
Gutachter:Prof. Dr. Max Wardetzky
Gutachter:Prof. Dr. Russell Luke
Gutachter:Prof. Dr. Samir Adly
Zum Verlinken/Zitieren: http://dx.doi.org/10.53846/goediss-5334

 

 

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Zusammenfassung

Englisch

This work is concerned with the convergence behavior of the solutions to parametric variational problems. An emphasis is put on sequences of variational problems that arise as discretizations of either infinite-dimensional optimization problems or infinite-dimensional operator problems. Finally, the results are applied to discretizations of the Douglas-Plateau problem and of a boundary value problem in nonlinear elasticity.
Keywords: Hencky elasticity; Ritz-Galerkin method; finite element method; minimal surfaces; Douglas-Plateau problem
 
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