A non-conforming finite element method for sub-meshing.
type: Item
instance of: scholarly article
title: A non-conforming finite element method for sub-meshing.
zbMATH Open document ID: 1033.65106
DOI: 10.1016/S0096-3003(02)00170-4
author: Padmanabhan Seshaiyer
author: Philip W. Smith
published in: Applied Mathematics and Computation
publication date: 2003-09-09T00:00:00Z
review text: The authors study non-conforming finite elements in the discretization of the Laplacian, where the solution domain is subdivided by regions with different degrees of refinement. The use of non-conforming elements is of special interest when the different levels of refinement do not match across the boundaries of the subdivision. The authors analyse a model problem consisting of the Laplacian in a domain formed by the union of two rectangles with mixed Dirichlet and Neumann boundary conditions. For the transition between the two subdomains interface elements are used. The main result of the paper is a bound for the error in the energy norm by the sum of the approximation and the consistency error. Some numerical results are presented for both the \(h\)- and the \(p\)-version of finite elements.
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N50
zbMATH DE Number: 1978028
zbMATH Keywords: submeshing
zbMATH Keywords: non-conforming finite element
zbMATH Keywords: \(h\)-version
zbMATH Keywords: \(p\)-version
zbMATH Keywords: error estimate
zbMATH Keywords: Laplace equation
zbMATH Keywords: mesh refinement
zbMATH Keywords: mixed Dirichlet and Neumann boundary conditions
zbMATH Keywords: numerical results
reviewed by: Rolf Dieter Grigorieff
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1978028