The simplified hybrid-combined methods for Laplace's equation with singularities

DOI10.1016/0377-0427(90)90356-5zbMath0692.65050OpenAlexW2043824069MaRDI QIDQ583859

Jianyong Qiao, Sumit K. Garg

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0377-0427(90)90356-5

zbMATH Keywords

stabilityfinite element methodRitz-Galerkin methodLaplace's equationoptimal rate of convergenceMotz's problemError boundssingularity problems

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)

Related Items

Hybrid and collocation Trefftz methods for traction boundary conditions in linear elastostatics, Six combinations of the Ritz-Galerkin and finite element methods for elliptic boundary value problems, Unnamed Item, Singularities and treatments of elliptic boundary value problems., Global superconvergence of simplified hybrid combinations of the Ritz--Galerkin and FEMs for elliptic equations with singularities. II: Lagrange elements and Adini's elements

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