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Shape optimization for space-time problems
| Project funded by own resources |
| Project title |
Shape optimization for space-time problems |
| Principal Investigator(s) |
Harbrecht, Helmut
|
| Project Members |
Brügger, Rahel Christina
|
| Organisation / Research unit |
Departement Mathematik und Informatik / Computational Mathematics (Harbrecht) |
| Project start |
01.09.2017 |
| Probable end |
30.11.2021 |
| Status |
Completed |
| Abstract |
The scope of the present project is the analysis and efficient solution of shape optimization problems with time-dependent state equation. The main ingredient is the shape sensitivity analysis, i.e., the analytic computation of the shape gradient. The efficient discretization of both, the shape and the state equation, is a further emphasis of this project. In particular, we intend to apply space-time methods for the solution of the state equation.
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| Keywords |
shape optimization, shape calculus, time-dependent state equation |
| Financed by |
University funds
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Published results () |
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ID |
Autor(en) |
Titel |
ISSN / ISBN |
Erschienen in |
Art der Publikation |
|
4481253 |
Brügger, Rahel; Croce, Roberto; Harbrecht, Helmut |
Solving a free boundary problem with non-constant coefficients |
0170-4214 ; 1099-1476 |
Mathematical Methods in the Applied Sciences |
Publication: JournalArticle (Originalarbeit in einer wissenschaftlichen Zeitschrift) |
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4603988 |
Brügger, Rahel; Croce, Roberto; Harbrecht, Helmut |
Solving a Bernoulli type free boundary problem with random diffusion |
1292-8119 ; 1262-3377 |
ESAIM. Control, optimisation and calculus of variations |
Publication: JournalArticle (Originalarbeit in einer wissenschaftlichen Zeitschrift) |
|
4619123 |
Brügger, Rahel; Harbrecht, Helmut; Tausch, Johannes |
On the numerical solution of a time-dependent shape optimization problem for the heat equation |
0363-0129 ; 1095-7138 |
SIAM Journal on Control and Optimization (SICON) |
Publication: JournalArticle (Originalarbeit in einer wissenschaftlichen Zeitschrift) |
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4640316 |
Brügger, Rahel; Harbrecht, Helmut |
On the reformulation of the Classical Stefan problem as a shape optimization problem |
0363-0129 ; 1095-7138 |
SIAM Journal on Control and Optimization (SICON) |
Publication: JournalArticle (Originalarbeit in einer wissenschaftlichen Zeitschrift) |
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4641688 |
Brügger, Rahel |
Shape optimization for time-dependent domains |
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Publication: Thesis (Dissertationen, Habilitationen) |
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4642423 |
Brügger, Rahel; Harbrecht, Helmut; Tausch, Johannes |
Boundary integral operators for the heat equation |
0378-620X ; 1420-8989 |
Integral Equations and Operator Theory |
Publication: JournalArticle (Originalarbeit in einer wissenschaftlichen Zeitschrift) |
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16/04/2024
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