The \(p\)-version of the finite element method for a singularly perturbed boundary value problem
From MaRDI portal
Publication:1372101
DOI10.1016/S0377-0427(97)00119-2zbMath0888.65087MaRDI QIDQ1372101
Publication date: 11 June 1998
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15)
Related Items
A brief survey on numerical methods for solving singularly perturbed problems ⋮ Error estimates and adaptive finite element methods
Cites Work
- Unnamed Item
- Singularly perturbed finite element methods
- A uniform finite element method for a conservative singularly perturbed problem
- The h-p version of the finite element method. I. The basic approximation results
- A finite element method with a large mesh-width for a stiff two-point boundary value problem
- The problem of plate modeling: Theoretical and computational results
- The h, p and h-p versions of the finite element method in 1 dimension. II. The error analysis of the h- and h-p versions
- An asymptotic finite element method for improvement of solutions of boundary layer problems
- An error analysis for the finite element method applied to convection diffusion problems
- A Priori Estimates and Analysis of a Numerical Method for a Turning Point Problem
- Differentiability Properties of Solutions of the Equation $ - \varepsilon ^2 \Delta u + ru = f(x,y)$ in a Square
- On the Finite Element Method for Singularly Perturbed Reaction-Diffusion Problems in Two and One Dimensions
- Adaptivity and Error Estimation for the Finite Element Method Applied to Convection Diffusion Problems
- Uniform High-Order Difference Schemes for a Singularly Perturbed Two-Point Boundary Value Problem
- The Optimal Convergence Rate of the p-Version of the Finite Element Method
- Asymptotic Analysis of a Singular Perturbation Problem
- Sufficient Conditions for the Uniform Convergence of a Difference Scheme for a Singularly Perturbed Turning Point Problem
- Analysis of Some Difference Approximations for a Singular Perturbation Problem Without Turning Points
- An Analysis of a Uniformly Accurate Difference Method for a Singular Perturbation Problem
- Conforming Finite Element Approximations for a Fourth-Order Singular Perturbation Problem
