Robust error estimation in energy and balanced norms for singularly perturbed fourth order problems
type: Item
instance of: scholarly article
title: Robust error estimation in energy and balanced norms for singularly perturbed fourth order problems
zbMATH Open document ID: 1443.74221
publication date: 2020-10-12T00:00:00Z
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 35B25
Mathematics Subject Classification ID: 35J40
zbMATH DE Number: 7259826
zbMATH Keywords: singular perturbation
zbMATH Keywords: fourth-order problem
zbMATH Keywords: mixed-method
zbMATH Keywords: boundary layers
zbMATH Keywords: layer-adapted meshes
zbMATH Keywords: balanced norms
author: Sebastian Franz
author: Hans-G. Roos
MaRDI profile type: Publication
full work available at URL: j.camwa.2016.05.001
OpenAlex ID: W2395329040
cites work: A \(C^{1}\)-conforming \(hp\) finite element method for fourth order singularly perturbed boundary value problems
cites work: Q3920591
cites work: A Mixed Finite Element Method for the Biharmonic Equation
cites work: A family of non-conforming elements and the analysis of Nitsche's method for a singularly perturbed fourth order problem
cites work: Q3516560
cites work: Q5488731
cites work: Q4673348
cites work: A C0 interior penalty method for a singularly‐perturbed fourth‐order elliptic problem on a layer‐adapted mesh
cites work: On the boundary value problem of the biharmonic operator on domains with angular corners
cites work: Comparing hinged and supported rectangular plates
cites work: Q4326386
cites work: Q4774844
cites work: Q4686728
cites work: Finite Element Methods for Navier-Stokes Equations
cites work: Q4266502
cites work: Local projection stabilisation for higher order discretisations of convection-diffusion problems on Shishkin meshes
cites work: Robust Numerical Methods for Singularly Perturbed Differential Equations
cites work: Finite element superconvergence on Shishkin mesh for 2-D convection-diffusion problems
cites work: Full-order convergence of a mixed finite element method for fourth-order elliptic equations
cites work: A Balanced Finite Element Method for Singularly Perturbed Reaction-Diffusion Problems
cites work: L ∞ -Bounds for the L 2-Projection onto Linear Spline Spaces
cites work: Q4485828
DOI: 10.1016/J.CAMWA.2016.05.001
published in: Computers & Mathematics with Applications
Recommended article: Energy norm error estimate for singularly perturbed fourth-order differential equation with two parameters
Recommended article: A parameter robust finite element method for fourth order singularly perturbed problems
Recommended article: Q4519787
Recommended article: Fourth-order accurate difference method for the singular perturbation problem
Recommended article: Hierarchical robust a posteriori error estimator for a singularly perturbed problem
Recommended article: A simple approach to reliable and robust a posteriori error estimation for singularly perturbed problems
Recommended article: Error estimates of finite element approximations for a fourth-order differential equation
Recommended article: Numerical error bounds for fourth order boundary value problems, simultaneous estimation of u(x) and u''(x)
Recommended article: Robust a posteriori error estimators for a singularly perturbed reaction-diffusion equation
Recommended article: Robust error estimates for approximations of non-self-adjoint eigenvalue problems
description: scientific article; zbMATH DE number 7259826