Mesh adaptivity in optimal control of elliptic variational inequalities with point-tracking of the state

DOI10.4171/IFB/332zbMath1320.49016WikidataQ115155136 ScholiaQ115155136MaRDI QIDQ2515790

Michael Hintermüller, Caroline Löbhard, Charles M. Elliott, Charles Brett

Publication date: 6 August 2015

Published in: Interfaces and Free Boundaries (Search for Journal in Brave)

zbMATH Keywords

optimal controlvariational inequalitiesadaptive finite element methodsgoal-oriented error estimationC-stationaritypoint-tracking

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Variational inequalities (49J40) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Discrete approximations in optimal control (49M25) Numerical methods for variational inequalities and related problems (65K15) Unilateral problems for linear elliptic equations and variational inequalities with linear elliptic operators (35J86)

Related Items (8)

Simulation and Control of a Nonsmooth Cahn–Hilliard Navier–Stokes System with Variable Fluid Densities ⋮ Adaptive optimal control of Signorini's problem ⋮ An ℓ 1-Penalty Scheme for the Optimal Control of Elliptic Variational Inequalities ⋮ \(C^0\) Interior penalty methods for an elliptic distributed optimal control problem with general tracking and pointwise state constraints ⋮ Fully Adaptive and Integrated Numerical Methods for the Simulation and Control of Variable Density Multiphase Flows Governed by Diffuse Interface Models ⋮ Optimal control of geometric partial differential equations ⋮ A goal-oriented dual-weighted adaptive finite element approach for the optimal control of a nonsmooth Cahn-Hilliard-Navier-Stokes system ⋮ Adaptive Optimal Control of the Obstacle Problem

This page was built for publication: Mesh adaptivity in optimal control of elliptic variational inequalities with point-tracking of the state