Saturation estimates for \(hp\)-finite element methods
type: Item
instance of: scholarly article
title: Saturation estimates for \(hp\)-finite element methods
zbMATH Open document ID: 1380.65359
author: Randolph E. Bank
author: Asieh Parsania
author: S. Sauter
published in: Computing and Visualization in Science
publication date: 2017-12-08T00:00:00Z
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 65N50
zbMATH DE Number: 6816906
zbMATH Keywords: \(hp\) finite elements
zbMATH Keywords: saturation estimate
zbMATH Keywords: a posteriori error estimate
zbMATH Keywords: linear elliptic equation
zbMATH Keywords: polynomial inverse estimates
describes a project that uses: PLTMG
MaRDI profile type: Publication
full work available at URL: s00791-015-0234-2
OpenAlex ID: W2461558873
cites work: A posteriori error estimation in finite element analysis
cites work: Aspects of an adaptive \(hp\)-finite element method: Adaptive strategy, conforming approximation and efficient solvers
cites work: A‐posteriori error estimates for the finite element method
cites work: Error Estimates for Adaptive Finite Element Computations
cites work: Q4797885
cites work: \(hp\) adaptive finite elements based on derivative recovery and superconvergence
cites work: Some A Posteriori Error Estimators for Elliptic Partial Differential Equations
cites work: Asymptotically Exact A Posteriori Error Estimators, Part II: General Unstructured Grids
cites work: Adaptive finite element methods with convergence rates
cites work: A Posteriori Error Estimates for Elliptic Problems in Two and Three Space Dimensions
cites work: Equilibrated residual error estimates are \(p\)-robust
cites work: Convergence of an adaptive \(hp\) finite element strategy in higher space-dimensions
cites work: A posteriori error analysis for elliptic PDEs on domains with complicated structures
cites work: Computing with hp-ADAPTIVE FINITE ELEMENTS
cites work: A Convergent Adaptive Algorithm for Poisson’s Equation
cites work: Small data oscillation implies the saturation assumption
cites work: An adaptive strategy for elliptic problems including a posteriori controlled boundary approximation
cites work: An adaptive strategy for \(hp\)-FEM based on testing for analyticity
cites work: Remarks on a posteriori error estimation for inaccurate finite element solutions
cites work: Q4090656
cites work: The intersection of bivariate orthogonal polynomials on triangle patches
cites work: Convergence of Adaptive Finite Element Methods for General Second Order Linear Elliptic PDEs
cites work: hp-Interpolation of Nonsmooth Functions and an Application to hp-A posteriori Error Estimation
cites work: On residual-based a posteriori error estimation in hp-FEM
cites work: A Survey of hp-Adaptive Strategies for Elliptic Partial Differential Equations
cites work: Approximations in elasticity based on the concept of function space
cites work: Q3247257
cites work: A posteriori estimates for partial differential equations
cites work: A posteriori estimators for the \(h\)-\(p\) version of the finite element method in 1D
cites work: An Optimal Adaptive Finite Element Method
cites work: Optimality of a standard adaptive finite element method
cites work: Q4511109
cites work: Q4886148
cites work: Q4916237
DOI: 10.1007/S00791-015-0234-2
Recommended article: Q4511109
Recommended article: Approximation theory for the \(hp\)-version finite element method and application to the nonlinear Laplacian
Recommended article: Thehp finite element method for singularly perturbed problems in nonsmooth domains
Recommended article: \(hp\)-finite element methods for singular perturbations
Recommended article: THE hp FINITE ELEMENT METHOD FOR SINGULARLY PERTURBED PROBLEMS IN SMOOTH DOMAINS
Recommended article: Stability and convergence of nonconforming \(hp\) finite-element methods
Recommended article: Sobolev regularity estimation for hp-adaptive finite element methods
Recommended article: Q3690160
Recommended article: Finite element approximation of hemivariational inequalities
Recommended article: Hybridization and stabilization for \textit{hp}-finite element methods
description: scientific article; zbMATH DE number 6816906