Analysis of a Streamline-Diffusion Finite Element Method on Bakhvalov-Shishkin Mesh for Singularly Perturbed Problem
Copyright policy )Analysis of a Streamline-Diffusion Finite Element Method on Bakhvalov-Shishkin Mesh for Singularly Perturbed Problem
AbstractIn this paper, a bilinear Streamline-Diffusion finite element method on Bakhvalov-Shishkin mesh for singularly perturbed convection – diffusion problem is analyzed. The method is shown to be convergent uniformly in the perturbation parameter ∈ provided only that ∈ ≤ N–1. An convergent rate in a discrete streamline-diffusion norm is established under certain regularity assumptions. Finally, through numerical experiments, we verified the theoretical results.
- Jiaxing University China (People's Republic of)
Diffusion, Error bounds for boundary value problems involving PDEs, Streamline-Diffusion finite element method, singularly perturbed problem, Bakhvalov-Shishkin mesh, error estimate, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Stability and convergence of numerical methods for boundary value problems involving PDEs, Singular perturbations in context of PDEs
Diffusion, Error bounds for boundary value problems involving PDEs, Streamline-Diffusion finite element method, singularly perturbed problem, Bakhvalov-Shishkin mesh, error estimate, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Stability and convergence of numerical methods for boundary value problems involving PDEs, Singular perturbations in context of PDEs
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