Aspects of an adaptive \(hp\)-finite element method: Adaptive strategy, conforming approximation and efficient solvers
type: Item
instance of: scholarly article
title: Aspects of an adaptive \(hp\)-finite element method: Adaptive strategy, conforming approximation and efficient solvers
zbMATH Open document ID: 0906.73057
DOI: 10.1016/S0045-7825(97)00101-1
author: Mark Ainsworth
author: Bill Senior
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1999-02-16T00:00:00Z
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74R99
Mathematics Subject Classification ID: 74B05
Mathematics Subject Classification ID: 65N50
zbMATH DE Number: 1210804
zbMATH Keywords: large ill-conditioned systems of linear equations
MaRDI profile type: Publication
cites work: A Hierarchical Domain Decomposition Preconditioner forh-PFinite Element Approximation on Locally Refined Meshes
cites work: A Preconditioner Based on Domain Decomposition forh-pFinite-Element Approximation on Quasi-Uniform Meshes
cites work: A procedure for a posteriori error estimation for \(h\)-\(p\) finite element methods
cites work: A unified approach to a posteriori error estimation using element residual methods
cites work: A posteriori error estimation in finite element analysis
cites work: An adaptive refinement strategy for \(hp\)-finite element computations
cites work: Q3323187
cites work: Efficient Preconditioning for thep-Version Finite Element Method in Two Dimensions
cites work: The Optimal Convergence Rate of the p-Version of the Finite Element Method
cites work: Thep-Version of the Finite Element Method
cites work: Toward a universal h-p adaptive finite element strategy. I: Constrained approximation and data structure
cites work: Q5751903
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: A Set of Principles to Interconnect the Solutions of Physical Systems
cites work: Iterative solvers by substructuring for the \(p\)-version finite element method
cites work: A general theory of finite elements. I. Topological considerations
cites work: Q5645108
cites work: Q4082966
cites work: A posteriori error analysis in finite elements: The element residual method for symmetrizable problems with applications to compressible Euler and Navier-Stokes equations
cites work: Q4856388
cites work: Toward a universal h-p adaptive finite element strategy. III: Design of h-p meshes
cites work: Q4000182
cites work: Q5683765
cites work: Iterative Methods by Space Decomposition and Subspace Correction
Recommended article: Q3462685
Recommended article: An adaptive refinement strategy for \(hp\)-finite element computations
Recommended article: Convergence of an adaptive \(hp\) finite element strategy in higher space-dimensions
Recommended article: Computational techniques for adaptive \(hp\) finite element methods
Recommended article: hp‐Adaptive Finite Element Methods for Variational Inequalities
Recommended article: \(hp\)-adaptive extended finite element method
Recommended article: A note on the design of \(hp\)-adaptive finite element methods for elliptic partial differential equations
Recommended article: An hp adaptive strategy for finite element approximations of the Navier‐Stokes equations
Recommended article: Toward a universal h-p adaptive finite element strategy. I: Constrained approximation and data structure
Recommended article: Adaptive energy minimisation for \(hp\)-finite element methods
description: scientific article; zbMATH DE number 1210804