A domain decomposition Taylor Galerkin finite element approximation of a parabolic singularly perturbed differential equation
type: Item
instance of: scholarly article
title: A domain decomposition Taylor Galerkin finite element approximation of a parabolic singularly perturbed differential equation
zbMATH Open document ID: 1411.65129
author: Sunil Kumar
author: B. V. Rathish Kumar
published in: Applied Mathematics and Computation
publication date: 2019-03-27T00:00:00Z
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35B25
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 65M55
zbMATH DE Number: 7042755
zbMATH Keywords: finite element method
zbMATH Keywords: domain decomposition method
zbMATH Keywords: monotone Schwarz iterative method
zbMATH Keywords: singularly perturbed problems
zbMATH Keywords: Taylor Galerkin method
MaRDI profile type: Publication
full work available at URL: j.amc.2016.08.031
OpenAlex ID: W2516044126
Wikidata QID: Q115361304
cites work: Q5610080
cites work: Approximation of the solutions of singularly perturbed boundary-value problems with a parabolic boundary layer
cites work: Q4871736
cites work: Q3909948
cites work: \(L^ 1\) and \(L^{\infty}\) uniform convergence of a difference scheme for a semilinear singular perturbation problem
cites work: Uniformly convergent difference schemes for singularly perturbed parabolic diffusion-convection problems without turning points
cites work: Finite element analysis of exponentially fitted lumped schemes for time- dependent convection-diffusion problems
cites work: On a Differential Equation of Boundary Layer Type
cites work: Q4379541
cites work: Analysis of Some Difference Approximations for a Singular Perturbation Problem Without Turning Points
cites work: Systems of conservation laws
cites work: On the stability of difference schemes
cites work: Difference schemes for hyperbolic equations with high order of accuracy
cites work: Q3806726
cites work: Q4730721
cites work: Q3484315
cites work: A finite difference method for singularly perturbed differential-difference equations with layer and oscillatory behavior
cites work: On discontinuous Galerkin finite element method for singularly perturbed delay differential equations
cites work: Modified reproducing kernel method for singularly perturbed boundary value problems with a delay
cites work: Improved reproducing kernel method for singularly perturbed differential-difference equations with boundary layer behavior
cites work: On a domain decomposition algorithm for a singularly perturbed reaction-diffusion problem
cites work: A Parallel Schwarz Method for a Convection-Diffusion Problem
cites work: Formation and propagation of localized states in extended systems
cites work: State space approach to two-dimensional generalized thermo-viscoelasticity with two relaxation times
cites work: Second-order linear parabolic equations with a small parameter
cites work: Convergence of Three-Step Taylor Galerkin Finite Element Scheme Based Monotone Schwarz Iterative Method for Singularly Perturbed Differential-Difference Equation
cites work: Finite Element Analysis for Mass-Lumped Three-Step Taylor Galerkin Method for Time Dependent Singularly Perturbed Problems with Exponentially Fitted Splines
DOI: 10.1016/J.AMC.2016.08.031
description: scientific article; zbMATH DE number 7042755