On the Numerical Solution of a Time-Dependent Shape Optimization Problem for the Heat Equation

DOI10.1137/19M1268628zbMath1461.49051arXiv1906.06221OpenAlexW3133820486MaRDI QIDQ5853643

Helmut Harbrecht, Johannes Tausch, Rahel Brügger

Publication date: 11 March 2021

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.06221

zbMATH Keywords

heat equationinverse problemshape optimization

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Heat equation (35K05) Optimization of shapes other than minimal surfaces (49Q10) Inverse problems in optimal control (49N45)

Related Items (6)

Boundary integral operators for the heat equation in time-dependent domains ⋮ Improved Discrete Boundary Type Shape Gradients for PDE-constrained Shape Optimization ⋮ Optimization problems for PDEs in weak space-time form. Abstracts from the workshop held March 5--10, 2023 ⋮ Quantitative estimates for parabolic optimal control problems under \(L^\infty\) and \(L^1\) constraints in the ball: quantifying parabolic isoperimetric inequalities ⋮ Linear Parabolic Problems in Random Moving Domains ⋮ On the Reformulation of the Classical Stefan Problem as a Shape Optimization Problem

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