Stability of a streamline diffusion finite element method for turning point problems

DOI10.1016/j.cam.2007.09.020zbMath1153.65081OpenAlexW2072060472MaRDI QIDQ939575

Long Chen, Jin-biao Wu, Yong-Gang Wang

Publication date: 22 August 2008

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2007.09.020

zbMATH Keywords

Finite element methodsSingularly perturbed second order problemsUniform stability of turning point problems

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (5)

Analysis of the SDFEM for singularly perturbed differential-difference equations ⋮ A brief survey on numerical methods for solving singularly perturbed problems ⋮ A review on singularly perturbed differential equations with turning points and interior layers ⋮ Second order difference scheme for singularly perturbed boundary turning point problems ⋮ Comparative study on difference schemes for singularly perturbed boundary turning point problems with Robin boundary conditions

Cites Work

• Numerical solution of quasilinear attractive turning point problems
• Negative norm stabilization of convection-diffusion problems
• A numerical method for quasilinear singular perturbation problems with turning points
• The streamline-diffusion method for a convection--diffusion problem with a point source
• Analysis of the advection-diffusion operator using fractional order norms
• Residual-free bubbles for advection-diffusion problems: The general error analysis
• Maximum Norm A Posteriori Error Estimates for a One-Dimensional Convection-Diffusion Problem
• On the Finite Element Method for Singularly Perturbed Reaction-Diffusion Problems in Two and One Dimensions
• Analysis of Some Difference Approximations for a Singular Perturbation Problem Without Turning Points
• On Maximum Norm Convergence of Multigrid Methods for Two-Point Boundary Value Problems
• A Priori Error Analysis of Residual-Free Bubbles for Advection-Diffusion Problems
• On Maximum Norm Convergence of Multigrid Methods for Elliptic Boundary Value Problems
• Quasi Optimality of the SUPG Method for the One-Dimensional Advection-Diffusion Problem
• Stable Discretizations of Convection-Diffusion Problems via Computable Negative-Order Inner Products
• Finite element superconvergence approximation for one-dimensional singularly perturbed problems
• Finite element superconvergence on Shishkin mesh for 2-D convection-diffusion problems
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