The streamline-diffusion method for a convection–diffusion problem with a point source
Copyright policy )The streamline-diffusion method for a convection–diffusion problem with a point source
The authors study a singularly perturbed convection-diffusion problem with a point source. This problem is solved by applying the streamline-diffusion finite element method to a class of Shishkin-type meshes. This approach enables the authors to prove pointwise error estimates, as well as the existence of superconvergent points for the first derivative. Numerical experiments support the abstract results contained in the paper.
- University of Novi Sad Serbia
- TU Dresden Germany
Numerical solution of boundary value problems involving ordinary differential equations, Nonlinear boundary value problems for ordinary differential equations, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, Applied Mathematics, Shishkin-type mesh, finite element method, Superconvergence, superconvergence, Computational Mathematics, Convection–diffusion problems, error estimates, Streamline-diffusion method, Shishkin-type meshes, Singular perturbations for ordinary differential equations, convection-diffusion problem, Singular perturbation, numerical experiments, Stability and convergence of numerical methods for ordinary differential equations, singular perturbation, Error bounds for numerical methods for ordinary differential equations
Numerical solution of boundary value problems involving ordinary differential equations, Nonlinear boundary value problems for ordinary differential equations, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, Applied Mathematics, Shishkin-type mesh, finite element method, Superconvergence, superconvergence, Computational Mathematics, Convection–diffusion problems, error estimates, Streamline-diffusion method, Shishkin-type meshes, Singular perturbations for ordinary differential equations, convection-diffusion problem, Singular perturbation, numerical experiments, Stability and convergence of numerical methods for ordinary differential equations, singular perturbation, Error bounds for numerical methods for ordinary differential equations
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