Mesh independence and fast local convergence of a primal-dual active-set method for mixed control-state constrained elliptic control problems

DOI10.1017/S1446181100012657zbMath1154.65057WikidataQ115155203 ScholiaQ115155203MaRDI QIDQ5445984

Michael Hintermüller

Publication date: 6 March 2008

Published in: The ANZIAM Journal (Search for Journal in Brave)

zbMATH Keywords

optimal controlLagrange multipliernumerical examplessuperlinear convergenceactive-set strategysemi-smooth Newton methodmixed control-state constraintsPDE-constraintspath-following interior-point methodLavrentiev-type regularizationmesh-indepenceMoreau-Yosida-type regularizationprimal-dual-methodsecond-order linear elliptic differential equation

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Numerical methods based on nonlinear programming (49M37) Existence theories for optimal control problems involving partial differential equations (49J20)

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