The Sdfem for a Convection-diffusion Problem with Two Small Parameters
Copyright policy )The Sdfem for a Convection-diffusion Problem with Two Small Parameters
Abstract A singularly perturbed convection-diffusion problem with two small parameters is considered. The problem is solved using the streamline-diffusion finite element method on a Shishkin mesh. We prove that the method is convergent independently of the perturbation parameters. Numerical experiments support these theoretical results.
- TU Dresden Germany
Numerical solution of boundary value problems involving ordinary differential equations, Finite difference and finite volume methods for ordinary differential equations, convergence, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, two small parameters, Shishkin-type mesh, Singular perturbations for ordinary differential equations, Mesh generation, refinement, and adaptive methods for ordinary differential equations, streamline-diffusion method, Linear boundary value problems for ordinary differential equations, numerical experiments, Stability and convergence of numerical methods for ordinary differential equations, singular perturbation, convection-diffusion problems
Numerical solution of boundary value problems involving ordinary differential equations, Finite difference and finite volume methods for ordinary differential equations, convergence, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, two small parameters, Shishkin-type mesh, Singular perturbations for ordinary differential equations, Mesh generation, refinement, and adaptive methods for ordinary differential equations, streamline-diffusion method, Linear boundary value problems for ordinary differential equations, numerical experiments, Stability and convergence of numerical methods for ordinary differential equations, singular perturbation, convection-diffusion problems
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