A novel two-step streamline-diffusion FEM for singularly perturbed 2D parabolic PDEs
type: Item
instance of: scholarly article
title: A novel two-step streamline-diffusion FEM for singularly perturbed 2D parabolic PDEs
zbMATH Open document ID: 1484.65208
author: Yanyan Li
published in: Applied Numerical Mathematics
publication date: 2021-12-09T00:00:00Z
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M15
zbMATH DE Number: 7441554
zbMATH Keywords: singularly perturbed 2D parabolic PDEs
zbMATH Keywords: operator-splitting method
zbMATH Keywords: ADI method
zbMATH Keywords: SDFEM
zbMATH Keywords: Shishkin mesh
zbMATH Keywords: stability
zbMATH Keywords: error analysis
MaRDI profile type: Publication
full work available at URL: j.apnum.2021.10.010
OpenAlex ID: W3205638700
Wikidata QID: Q114208186
cites work: Finite element methods of an operator splitting applied to population balance equations
cites work: The Mathematical Theory of Finite Element Methods
cites work: Crank-Nicolson ADI Galerkin finite element method for two-dimensional fractional Fitzhugh-Nagumo monodomain model
cites work: A fractional step method on a special mesh for the resolution of multidimensional evolutionary convection-diffusion problems
cites work: Higher-order convergence with fractional-step method for singularly perturbed 2D parabolic convection-diffusion problems on Shishkin mesh
cites work: A new ADI technique for two-dimensional parabolic equation with an integral condition
cites work: Time‐splitting procedures for the solution of the two‐dimensional transport equation
cites work: Approximation of continuous surface differential operators with the generalized moving least-squares (GMLS) method for solving reaction-diffusion equation
cites work: An operator-splitting Galerkin/SUPG finite element method for population balance equations: stability and convergence
cites work: Operator-splitting finite element algorithms for computations of high-dimensional parabolic problems
cites work: Convergence analysis of weak Galerkin flux-based mixed finite element method for solving singularly perturbed convection-diffusion-reaction problem
cites work: Q3857926
cites work: A new finite element formulation for computational fluid dynamics. VI. Convergence analysis of the generalized SUPG formulation for linear time- dependent multidimensional advective-diffusive systems
cites work: Error Analysis of the SUPG Finite Element Discretization of Evolutionary Convection-Diffusion-Reaction Equations
cites work: Finite element methods for time-dependent convection-diffusion-reaction equations with small diffusion
cites work: Analysis of Some Difference Approximations for a Singular Perturbation Problem Without Turning Points
cites work: A heterogeneous alternating-direction method for a micro-macro dilute polymeric fluid model
cites work: The necessity of Shishkin decompositions
cites work: Layer-adapted meshes for reaction-convection-diffusion problems
cites work: Alternating direction numerical scheme for singularly perturbed 2D degenerate parabolic convection-diffusion problems
cites work: Robust Numerical Methods for Singularly Perturbed Differential Equations
DOI: 10.1016/J.APNUM.2021.10.010
description: scientific article; zbMATH DE number 7441554