The discrete artificial boundary condition on a polygonal artificial boundary for the exterior problem of Poisson equation by using the direct method of lines

DOI10.1016/S0045-7825(99)00046-8zbMath0949.65127OpenAlexW2100376615MaRDI QIDQ1977097

Weizhu Bao, Houde Han

Publication date: 21 November 2000

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(99)00046-8

zbMATH Keywords

numerical examplesfinite elementLaplace equationPoisson equationexterior problemdirect method of linespolygonal artificial boundarydiscrete artificial boundary

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Method of lines for boundary value problems involving PDEs (65N40)

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The Direct Method of Lines for Forward and Inverse Linear Elasticity Problems of Composite Materials in Star-shaped Domains, Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part II: Higher order FEM, The direct method of lines for elliptic problems in star-shaped domains, A survey on artificial boundary method, The direct method of lines for the problem of infinite elastic foundation, The direct method of lines for the numerical solutions of interface problem, Fast Finite Element Method for the Three-Dimensional Poisson Equation in Infinite Domains, Solving two dimensional second order elliptic equations in exterior domains using the inverted finite elements method, Numerical simulations of fracture problems by coupling the FEM and the direct method of lines

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