Mortar spectral element discretization of the Laplace and Darcy equations with discontinuous coefficients

DOI10.1051/m2an:2007035zbMath1145.65094OpenAlexW2140009009MaRDI QIDQ3507185

Zakaria Belhachmi, Christine Bernardi, Andreas Karageorghis

Publication date: 18 June 2008

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

Full work available at URL: http://www.numdam.org/item?id=M2AN_2007__41_4_801_0

zbMATH Keywords

numerical experimentsLaplace equationspectral elementsoptimal error estimatesDarcy equationmortar method

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) 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)

Related Items (5)

Control of the effects of regularization on variational optic flow computations ⋮ Basics and some applications of the mortar element method ⋮ A \(hk\) mortar spectral element method for the \(p\)-Laplacian equation ⋮ A multiscale fourth‐order model for the image inpainting and low‐dimensional sets recovery ⋮ Solving Parabolic Moving Interface Problems with Dynamical Immersed Spaces on Unfitted Meshes: Fully Discrete Analysis

Uses Software

• NAG

Cites Work

• Optimal error analysis of spectral methods with emphasis on non-constant coefficients and deformed geometries
• A priori and a posteriori analysis of finite volume discretizations of Darcy's equations
• Adaptive finite element methods for elliptic equations with non-smooth coefficients
• Variational discretization of elliptic boundary value problems.
• The mortar finite element method with Lagrange multipliers
• Un schéma de volumes ou éléments finis adaptatif pour les équations de Darcy à perméabilité variable
• The Mortar Method in the Wavelet Context
• Basics and some applications of the mortar element method
• Finite Element Methods for Navier-Stokes Equations
• Solution of a two-dimensional stationary induction heating problem without boundedness of the coefficients
• MORTAR SPECTRAL ELEMENT METHODS FOR ELLIPTIC EQUATIONS WITH DISCONTINUOUS COEFFICIENTS
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