An immersed interface method for anisotropic elliptic problems on irregular domains in 2D

DOI10.1002/num.20051zbMath1073.65114OpenAlexW2131086788MaRDI QIDQ4667818

Miguel A. Dumett, James P. Keener

Publication date: 21 April 2005

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.20051

zbMATH Keywords

Dirichlet boundary conditionsNeumann boundary conditionsRobin boundary conditionsPoisson equationimmersed interface methodpositive semi-definitenessanisotropic operatorlinear programming approachelliptic second-order equationanisotropic Laplace equationnondiagonal anisotropy tensornonrectangular boundariessufficient Gerschgorin criterionweakly diagonal dominant schemes

Mathematics Subject Classification ID

Linear programming (90C05) Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06)

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