Convergence results for a nonlinear parabolic control problem

DOI10.1080/01630569908816925zbMath0951.49005OpenAlexW2053427021MaRDI QIDQ4943323

Viorel Arnăutu, Dietmar Hömberg, Jan Sokolowski

Publication date: 11 May 2000

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569908816925

zbMATH Keywords

finite elementsphase transitionBanach spacenonlinear parabolic control problem

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Nonlinear parabolic equations (35K55) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence theories for optimal control problems involving partial differential equations (49J20)

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Cites Work

• Existence of a solution to the Stefan problem with Joule's heating
• Approximation of optimal distributed control problems governed by variational inequalities
• Error estimates for the discretization of state constrained convex control problems

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