Boundary element methods for parabolic boundary control problems

DOI10.1216/JIE-2014-26-1-53zbMath1288.65135OpenAlexW2071606293MaRDI QIDQ2450722

T. X. Phan, Olaf Steinbach

Publication date: 15 May 2014

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jiea/1397764954

zbMATH Keywords

numerical exampleboundary integral equationGalerkin boundary element methodlinear heat equationoptimal Dirichlet boundary control problema~priori error estimates

Mathematics Subject Classification ID

Heat equation (35K05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38)

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A semi-analytical approach to Green's functions for heat equation in regions of irregular shape

Cites Work

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• Optimization with PDE Constraints
• Constrained Dirichlet Boundary Control in $L^2$ for a Class of Evolution Equations
• Optimalitätsbedingungen fü ein parabolisehes randsteuerproblem mit steuer- und zustaridsbeschränkungen
• Boundary integral equations for the biharmonic Dirichlet problem on nonsmooth domains

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