Numerical Methods for Exterior Problems

DOI10.1142/6291zbMath1124.65114OpenAlexW649768284MaRDI QIDQ3413118

Lung-An Ying

Publication date: 3 January 2007

Published in: Peking University Series in Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/e5a80fffbb1f3a5b1a7a94ba67846fa8e438bceb

zbMATH Keywords

heat equationwave equationboundary element methodtextbookMaxwell equationsbiharmonic equationNavier-Stokes equationHelmholtz equationPoisson equationspectral methodinfinite element methodexterior problemsartificial boundary conditionsperfectly matched layer method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) PDEs in connection with optics and electromagnetic theory (35Q60) Boundary value problems for higher-order elliptic equations (35J40) Heat equation (35K05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Wave equation (35L05) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) 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) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (6)

Axisymmetric Stokes exterior problem and its numerical computation ⋮ An Efficient Cartesian Grid-Based Method for Scattering Problems with Inhomogeneous Media ⋮ A natural BEM with non-uniform grids on the elliptic boundary and its coupling method ⋮ The equivalence between the TE, TM model and the Darwin models ⋮ Shape-explicit constants for some boundary integral operators ⋮ Stability analysis of FDTD to UPML for time dependent Maxwell equations

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