A global uniformly convergent finite element method for a quasi-linear singularly perturbed elliptic problem
From MaRDI portal
Publication:1963133
DOI10.1016/S0898-1221(99)00226-6zbMath0937.65114MaRDI QIDQ1963133
Publication date: 20 January 2000
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Nonlinear boundary value problems for linear elliptic equations (35J65) Singular perturbations in context of PDEs (35B25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items
A posteriori error estimation based on conservative flux reconstruction for nonconforming finite element approximations to a singularly perturbed reaction-diffusion problem on anisotropic meshes, Stability and error analysis of a fully-discrete numerical method for system of 2D singularly perturbed parabolic PDEs, Global uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems: Higher-order elements, Singularly perturbed problems in partial differential equations: A survey
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Perturbations singulières dans les problèmes aux limites et en contrôle optimal
- Singular perturbation analysis of discrete control systems
- A finite element method for a singularly perturbed boundary value problem
- Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems. I: Reaction-diffusion type
- Singular perturbation methods for ordinary differential equations
- Spectral elements for transport-dominated equations
- 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
- Quasilinear singularly perturbed elliptic equations in a rectangle
- Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems: Convection-diffusion type
- Effective spectral approximations of convection-diffusion equations
- A novel nonconforming uniformly convergent finite element method in two dimensions
- On the Finite Element Method for Singularly Perturbed Reaction-Diffusion Problems in Two and One Dimensions
- A numerical method for solving quasilinear elliptic equations with a small parameter for the highest derivatives
- Nonlinear Singular Perturbation Problems and One Sided Difference Schemes
- Applications of the Maximum Principle to Singular Perturbation Problems
- On piecewise-uniform meshes for upwind- and central-difference operators for solving singularly perturbed problems
- Finite-element methods for singularly perturbed high-order elliptic two-point boundary value problems. I: reaction-diffusion-type problems
- Accurate Discretization for Singular Perturbations: The One-Dimensional Case
- Optimal Approximability of Solutions of Singularly Perturbed Two-Point Boundary Value Problems
- Layer-Adapted Grids for Singular Perturbation Problems
- High-Order Finite Element Methods for Singularly Perturbed Elliptic and Parabolic Problems
- The $p$ and $hp$ versions of the finite element method for problems with boundary layers