A new kind of combinations between the Ritz-Galerkin and finite element methods for singularity problems
type: Item
instance of: scholarly article
title: A new kind of combinations between the Ritz-Galerkin and finite element methods for singularity problems
zbMATH Open document ID: 0638.65078
DOI: 10.1007/BF02242188
author: B. George
published in: Computing
publication date: 1988-01-01T00:00:00Z
review text: The coupling techniques of simplified hybrid plus penalty functions are first presented for matching the Ritz-Galerkin method and the k(k\(\geq 1)\)-order Lagrange finite element method to solve complicated problems of elliptic equations, homogeneous or nonhomogeneous, in particular with singularities or unbounded domains. Optimal convergence rates of numerical solutions have been proved in the Sobolev norms. Moreover, the theoretical results obtained in this paper have been verified by numerical experiments for the singular Motz problem.
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 4041208
zbMATH Keywords: numerical example
zbMATH Keywords: singularity problem
zbMATH Keywords: finite element methods
zbMATH Keywords: Ritz- Galerkin methods combined methods
zbMATH Keywords: nonconforming combinations
zbMATH Keywords: penalty combined methods
zbMATH Keywords: simplified hybrid-combined methods
zbMATH Keywords: Optimal convergence rates
zbMATH Keywords: singular Motz problem
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4041208