Nodal Superconvergence of SDFEM for Singularly Perturbed Problems
Copyright policy )Nodal Superconvergence of SDFEM for Singularly Perturbed Problems
The authors discuss the streamline diffusion finite element method for one dimensional singularly perturbed convection-diffusion-reaction problems. An error analysis is provided and numerical examples illustrate the sharpness of the proposed method.
- University of Southern Mississippi United States
- Wayne State College United States
- Wayne State University United States
Numerical solution of boundary value problems involving ordinary differential equations, numerical examples, Nonlinear boundary value problems for ordinary differential equations, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, Applied Mathematics, shishkin mesh, Shishkin mesh, error bounds, 510, superconvergence, Physical Sciences and Mathematics, Mesh generation, refinement, and adaptive methods for ordinary differential equations, Singular perturbations for ordinary differential equations, streamline diffusion finite element method, Stability and convergence of numerical methods for ordinary differential equations, singular perturbation, Numerical solution of singularly perturbed problems involving ordinary differential equations
Numerical solution of boundary value problems involving ordinary differential equations, numerical examples, Nonlinear boundary value problems for ordinary differential equations, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, Applied Mathematics, shishkin mesh, Shishkin mesh, error bounds, 510, superconvergence, Physical Sciences and Mathematics, Mesh generation, refinement, and adaptive methods for ordinary differential equations, Singular perturbations for ordinary differential equations, streamline diffusion finite element method, Stability and convergence of numerical methods for ordinary differential equations, singular perturbation, Numerical solution of singularly perturbed problems involving ordinary differential equations
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