A LEVEL SET BASED SHAPE OPTIMIZATION METHOD FOR AN ELLIPTIC OBSTACLE PROBLEM

DOI10.1142/S0218202511005155zbMath1217.35216OpenAlexW2162636668MaRDI QIDQ3004767

Marie-Therese Wolfram, Martin Burger, Norayr Matevosyan

Publication date: 3 June 2011

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202511005155

zbMATH Keywords

free boundary problemsobstacle problemlevel set methods

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Optimization of shapes other than minimal surfaces (49Q10) Free boundary problems for PDEs (35R35) Sensitivity analysis for optimization problems on manifolds (49Q12)

Related Items (5)

AGGREGATION AND SPREADING VIA THE NEWTONIAN POTENTIAL: THE DYNAMICS OF PATCH SOLUTIONS ⋮ Measure-theoretic properties of level sets of distance functions ⋮ A Hopf-Lax formula for the time evolution of the level-set equation and a new approach to shape sensitivity analysis ⋮ A direct algorithm in some free boundary problems ⋮ Numerical approximation of one phase quadrature domains

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