On using enriched cover function in the partition-of-unity method for singular boundary-value problems

DOI10.1007/S00466-002-0335-XzbMath1016.65086OpenAlexW2035234263MaRDI QIDQ1871803

Yanyan Li

Publication date: 4 May 2003

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10220/19236

zbMATH Keywords

numerical exampleserror boundsLaplace equationHelmholtz equationpartition-of-unity methodmesh refinementfinite-element methodmeshless methodsingular boundary-value problems\(p\)-version refinementenriched cover function

Mathematics Subject Classification ID

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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (3)

Dynamic high order numerical manifold method based on weighted residual method ⋮ Steady heat conduction analyses using an interpolating element-free Galerkin scaled boundary method ⋮ On solving singular interface problems using the enriched partition‐of‐unity finite element methods

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