Domain decomposition method for the \(h\)-\(p\) version finite element method
type: Item
instance of: scholarly article
title: Domain decomposition method for the \(h\)-\(p\) version finite element method
zbMATH Open document ID: 0943.65145
DOI: 10.1016/S0045-7825(97)00249-1
author: Weiming Cao
author: Benqi Guo
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2000-03-22T00:00:00Z
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65F35
zbMATH DE Number: 1421646
zbMATH Keywords: Poisson equation
zbMATH Keywords: domain decomposition methods
zbMATH Keywords: \(h\)-\(p\) version
zbMATH Keywords: finite element method
zbMATH Keywords: additive Schwarz methods
zbMATH Keywords: iterative methods
zbMATH Keywords: condition numbers
MaRDI profile type: Publication
cites work: A Preconditioner Based on Domain Decomposition forh-pFinite-Element Approximation on Quasi-Uniform Meshes
cites work: Efficient Preconditioning for thep-Version Finite Element Method in Two Dimensions
cites work: The problem of selecting the shape functions for ap-type finite element
cites work: The $h{\text{ - }}p$ Version of the Finite Element Method for Domains with Curved Boundaries
cites work: Iterative Methods for the Solution of Elliptic Problems on Regions Partitioned into Substructures
cites work: The Construction of Preconditioners for Elliptic Problems by Substructuring. I
cites work: The Construction of Preconditioners for Elliptic Problems by Substructuring, IV
cites work: Q3776818
cites work: Preconditioning on Element Interfaces for the p-Version Finite Element Method and Spectral Element Method
cites work: Q3890207
cites work: The Chebyshev–Legendre Method: Implementing Legendre Methods on Chebyshev Points
cites work: Q5751903
cites work: Schwarz Analysis of Iterative Substructuring Algorithms for Elliptic Problems in Three Dimensions
cites work: The h-p version of the finite element method. I. The basic approximation results
cites work: The h-p version of the finite element method. II. General results and applications
cites work: Regularity of the solutions for elliptic problems on nonsmooth domains in ℝ3, Part I: countably normed spaces on polyhedral domains
cites work: Regularity of the solutions for elliptic problems on nonsmooth domains in ℝ3. Part II: Regularity in neighbourhoods of edges
cites work: A preconditioner for the \(h\)-\(p\) version of the finite element method in two dimensions
cites work: Additive Schwarz Methods for the h-p Version of the Finite Element Method in Two Dimensions
cites work: An Additive Schwarz Method for the h-p Version of the Finite Element Method in Three Dimensions
cites work: Q5628582
cites work: Q3806726
cites work: Iterative solvers by substructuring for the \(p\)-version finite element method
cites work: Two-level domain decomposition preconditioning for thep-version finite element method in three dimensions
cites work: Q4326686
cites work: A Polylogarithmic Bound for an Iterative Substructuring Method for Spectral Elements in Three Dimensions
cites work: Iterative substructuring methods for spectral elements: Problems in three dimensions based on numerical quadrature
cites work: Q3829002
cites work: Iterative Methods by Space Decomposition and Subspace Correction
full work available at URL: s0045-7825(97)00249-1
OpenAlex ID: W2156024331
description: scientific article; zbMATH DE number 1421646