The tailored finite point method

DOI10.1515/cmam-2014-0012zbMath1297.65154OpenAlexW2054071080MaRDI QIDQ400746

Zhongyi Huang, Houde Han

Publication date: 25 August 2014

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/cmam-2014-0012

zbMATH Keywords

wave equationtransport equationHelmholtz equationdiscrete maximum principlesingular perturbation problemsecond-order elliptic equationtailored finite point methodboundary/interior layerdiscrete-ordinate transport equationhigh frequency wavesmultiscale elliptic problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Maximum principles in context of PDEs (35B50) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Wave equation (35L05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

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