Optimal control of a Stefan problem with state-space constraints. Numerical approximation

DOI10.1007/BF01398381zbMath0589.65056OpenAlexW18494880MaRDI QIDQ1074313

Tomáš Roubíček

Publication date: 1987

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133180

zbMATH Keywords

stabilityoptimal controlconvergencenumerical resultsfinite element methodnonlinear boundary conditionspenalty function methodbackward Euler formulamultidimensional Stefan problem

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Degenerate parabolic equations (35K65) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (5)

Optimal control problems with state constraints for semilinear distributed-parameter systems ⋮ Numerical solution of the nonlinear heat equation in heterogeneous media¹ ⋮ A stable approximation of a constrained optimal control for continuous casting ⋮ The Stefan problem in heterogeneous media ⋮ Optimal control of cooling process in continuous casting of steel using a visualization-based multi-criteria approach

Cites Work

• A generalized Stefan problem in several space variables
• Error estimates for two-phase Stefan problems in several space variables. I: Linear boundary conditions
• Error Estimates for the Multidimensional Two-Phase Stefan Problem
• The Stefan Problem in Several Space Variables
• Multidimensional Stefan Problems
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