Numerical and Theoretical Analysis for Optimal Shape Inverse Problems

DOI10.1007/978-3-031-04616-2_12OpenAlexW4312463833MaRDI QIDQ6186874

Diaraf Seck, Aliou Seck, Guillaume Itbadio Sadio

Publication date: 5 February 2024

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-031-04616-2_12

zbMATH Keywords

nonlinear parabolic PDEelliptic linear boundary value problemnumerical shape recognition

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Free boundary problems for PDEs (35R35)

Cites Work

• An introduction to inverse elliptic and parabolic problems
• Analyse des problèmes de forme par la dérivation des minimax. (Analysis of shape problems by minimax differentiation)
• Introduction à la théorie des points critiques et applications aux problèmes elliptiques
• Shape variation and optimization. A geometrical analysis
• Shapes and Geometries
• Directional derivative of a minimax function
• Applied Shape Optimization for Fluids
• Shape Sensitivity Analysis via Min Max Differentiability
• Control, Shape, and Topological Derivatives via Minimax Differentiability of Lagrangians
• Minimax Lagrangian Approach to the Differentiability of Nonlinear PDE Constrained Shape Functions Without Saddle Point Assumption
• Shape Reconstruction in a Non-linear Problem
• Inverse problems for partial differential equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Numerical and Theoretical Analysis for Optimal Shape Inverse Problems