Nitsche-mortaring for singularly perturbed convection-diffusion problems
type: Item
instance of: scholarly article
title: Nitsche-mortaring for singularly perturbed convection-diffusion problems
zbMATH Open document ID: 1253.65189
author: Martin Schopf
author: Torsten Linss
author: Hans-G. Roos
published in: Advances in Computational Mathematics
publication date: 2012-09-20T00:00:00Z
review text: A finite element method for a singularly perturbed convection-diffusion problem with exponential boundary layers is analysed. Using a mortaring technique, the authors combine an anisotropic triangulation of the layer region with a shape regular one of the remainder of the domain. The error of the method allowing different asymptotic behaviour of the triangulations is studied and a uniform convergence is proved. Numerical results supporting the theoretical results are presented.
reviewed by: Abdallah Bradji
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35B25
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 65N15
zbMATH DE Number: 6084577
zbMATH Keywords: Nitsche-mortaring
zbMATH Keywords: convection-diffusion problems
zbMATH Keywords: Shishkin mesh
zbMATH Keywords: uniform convergence
zbMATH Keywords: supercloseness
zbMATH Keywords: finite element method
zbMATH Keywords: singular perturbation
zbMATH Keywords: error bounds
zbMATH Keywords: exponential boundary layers
zbMATH Keywords: triangulations
zbMATH Keywords: numerical results
MaRDI profile type: Publication
full work available at URL: s10444-011-9195-2
OpenAlex ID: W2045476074
cites work: Q4266502
cites work: Anisotropic interpolation with applications to the finite element method
cites work: An Interior Penalty Finite Element Method with Discontinuous Elements
cites work: A finite element method for domain decomposition with non-matching grids
cites work: A Multigrid Algorithm for the Mortar Finite Element Method
cites work: Q5291998
cites work: Nitsche type mortaring for singularly perturbed reaction-diffusion problems
cites work: Uniform superconvergence of a Galerkin finite element method on Shishkin-type meshes
cites work: Layer-adapted meshes for one-dimensional reaction–convection–diffusion problems
cites work: Asymptotic analysis and Shishkin-type decomposition for an elliptic convection-diffusion problem
cites work: \(hp\)-finite element methods for singular perturbations
cites work: Q4379541
cites work: Q2550279
cites work: Superconvergence on a hybrid mesh for singularly perturbed problems with exponential layers
cites work: Robust Numerical Methods for Singularly Perturbed Differential Equations
cites work: On the role of boundary conditions for CIP stabilization of higher order finite elements
cites work: A uniformly convergent Galerkin method on a Shishkin mesh for a convection-diffusion problem
cites work: The SDFEM for a Convection-Diffusion Problem with a Boundary Layer: Optimal Error Analysis and Enhancement of Accuracy
cites work: On the constants in \(hp\)-finite element trace inverse inequalities.
cites work: Finite element superconvergence on Shishkin mesh for 2-D convection-diffusion problems
cites work: Superconvergence and the superconvergent patch recovery
DOI: 10.1007/S10444-011-9195-2
description: scientific article; zbMATH DE number 6084577