MORTAR SPECTRAL ELEMENT METHODS FOR ELLIPTIC EQUATIONS WITH DISCONTINUOUS COEFFICIENTS

DOI10.1142/S0218202502001763zbMath1027.65156MaRDI QIDQ4798974

Nejmeddine Chorfi, Christine Bernardi

Publication date: 16 March 2003

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

discontinuous coefficientsnumerical experimentsoptimal error estimatessecond-order elliptic equationsMortar spectral elements

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs with low regular coefficients and/or low regular data (35R05)

Related Items (4)

Mortar spectral element discretization of the Laplace and Darcy equations with discontinuous coefficients ⋮ Basics and some applications of the mortar element method ⋮ On the convergence analysis of a time dependent elliptic equation with discontinuous coefficients ⋮ The implementation of the mortar spectral element discretization of the heat equation with discontinuous diffusion coefficient

Cites Work

• Optimal error analysis of spectral methods with emphasis on non-constant coefficients and deformed geometries
• \(hp\) submeshing via non-conforming finite element methods
• Solution of a two-dimensional stationary induction heating problem without boundedness of the coefficients

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