A domain splitting method for heat conduction problems in composite materials

DOI10.1051/m2an:2000130zbMath0952.65070OpenAlexW2008537925MaRDI QIDQ4950978

F. K. Hebeker

Publication date: 15 January 2001

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/197468

zbMATH Keywords

convergenceerror estimatesfinite elementsnumerical experimentshomogenizationcomposite materialsdomain splitting methodlayered subdomainslinear evolutionary heat equationnoniterative overlapping domain decomposition

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Heat equation (35K05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

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Cites Work

• A domain splitting algorithm for parabolic problems
• Composite finite elements for the approximation of PDEs on domains with complicated micro-structures
• Finite element methods and their convergence for elliptic and parabolic interface problems
• Unsteady convection and convection-diffusion problems via direct overlapping domain decomposition methods
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• A Multigrid Algorithm for the Mortar Finite Element Method
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