scientific article; zbMATH DE number 1310678

DOI<355::AID-NUM6>3.0.CO;2-Q 10.1002/(SICI)1098-2426(199905)15:3<355::AID-NUM6>3.0.CO;2-QzbMath0938.65135MaRDI QIDQ4254604

Domingo Alberto Tarzia

Publication date: 29 June 1999

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

finite elementerror boundsStefan problemphase changemixed elliptic problemsteady-state heat conduction problemdiscrete solution of nonconstant sign

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Free boundary problems for PDEs (35R35) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10)

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Numerical analysis of a family of simultaneous distributed-boundary mixed elliptic optimal control problems and their asymptotic behaviour through a commutative diagram and error estimates

Cites Work

• Sufficient and/or necessary condition for the heat transfer coefficient on \(\Gamma _ 1\) and the heat flux on \(\Gamma _ 2\) to obtain a steady- state two-phase Stefan problem
• Regularization of mixed second-order elliptic problems
• Maximum principle and uniform convergence for the finite element method
• A variational inequality with mixed boundary conditions
• Numerical Analysis for the Heat Flux in a Mixed Elliptic Problem to Obtain a Discrete Steady-State Two-Phase Stefan Problem