Global pointwise error estimates for uniformly convergent finite element methods for the elliptic boundary layer problem

DOI10.1016/S0898-1221(98)00109-6zbMath0936.65129MaRDI QIDQ1806568

Jichun Li

Publication date: 3 May 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

finite element methodselliptic partial differential equationsnumerical experimentpointwise error estimatessingularly perturbed problemsShishkin type mesh

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items

A family of three-term nonlinear conjugate gradient methods close to the memoryless BFGS method, A brief survey on numerical methods for solving singularly perturbed problems, Higher order approximations for fractional order integro-parabolic partial differential equations on an adaptive mesh with error analysis, A non-uniform Haar wavelet method for numerically solving two-dimensional convection-dominated equations and two-dimensional near singular elliptic equations, Error estimates and adaptive finite element methods

Cites Work

• Perturbations singulières dans les problèmes aux limites et en contrôle optimal
• An adaptive characteristic Petrov-Galerkin finite element method for convection-dominated linear and nonlinear parabolic problems in one space variable
• Quasioptimal uniformly convergent finite element methods for the elliptic boundary layer problem
• A uniformly convergent Galerkin method on a Shishkin mesh for a convection-diffusion problem
• Pointwise error estimates for a streamline diffusion scheme on a Shishkin mesh for a convection-diffusion problem
• A Globally Uniformly Convergent Finite Element Method for a Singularly Perturbed Elliptic Problem in Two Dimensions
• Crosswind Smear and Pointwise Errors in Streamline Diffusion Finite Element Methods
• On piecewise-uniform meshes for upwind- and central-difference operators for solving singularly perturbed problems
• The $p$ and $hp$ versions of the finite element method for problems with boundary layers
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item