A shape and topology optimization technique for solving a class of linear complementarity problems in function space

DOI10.1007/s10589-008-9201-xzbMath1230.90187OpenAlexW1980637207WikidataQ115155180 ScholiaQ115155180MaRDI QIDQ989848

Michael Hintermüller, Antoine Laurain

Publication date: 23 August 2010

Published in: Computational Optimization and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10589-008-9201-x

zbMATH Keywords

linear complementarity problemlevel set methodobstacle problemfunction spaceshape and topology optimizationTOPSHAPE algorithm

Mathematics Subject Classification ID

Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items (6)

Shape Optimization of an Electric Motor Subject to Nonlinear Magnetostatics ⋮ Topological derivatives of shape functionals. I: Theory in singularly perturbed geometrical domains ⋮ Shape derivative of the energy functional in a problem for a thin rigid inclusion in an elastic body ⋮ Optimal control of geometric partial differential equations ⋮ Analysis of a level set method for topology optimization ⋮ Droplet Footprint Control

Cites Work

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• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• On multi-grid methods for variational inequalities
• Monotone multigrid methods for elliptic variational inequalities. I
• A PDE-based fast local level set method
• Level set methods and dynamic implicit surfaces
• Rate of convergence for some constraint decomposition methods for nonlinear variational inequalities
• A level set approach for the solution of a state-constrained optimal control problem
• Monotone multigrid methods for elliptic variational inequalities. II
• A variational level set approach to multiphase motion
• The Topological Asymptotic for PDE Systems: The Elasticity Case
• Multigrid Algorithms for Variational Inequalities
• Two-sided approximations for unilateral variational inequalities by multi-grid methods
• On the Topological Derivative in Shape Optimization
• Adaptive Multilevel Methods for Obstacle Problems
• The Primal-Dual Active Set Strategy as a Semismooth Newton Method
• Convergence rate analysis of an asynchronous space decomposition method for convex Minimization
• Feasible and Noninterior Path‐Following in Constrained Minimization with Low Multiplier Regularity
• Path-following Methods for a Class of Constrained Minimization Problems in Function Space

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