Domain decomposition in boundary layers for singularly perturbed problems
Copyright policy )Domain decomposition in boundary layers for singularly perturbed problems
Finite difference domain decomposition algorithms based on special piecewise equidistant\break meshes of Shishkin-type are used for solving singularly perturbed one-dimensional elliptic and parabolic problems. Convergence properties of the algorithms are established and numerical results are presented.
- Massey University New Zealand
Finite difference methods for boundary value problems involving PDEs, Multigrid methods; domain decomposition for boundary value problems involving PDEs, convergence, Shishkin mesh, Stability and convergence of numerical methods for boundary value problems involving PDEs, numerical results, boundary layers, Boundary value problems for second-order elliptic equations, Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs, finite difference domain decomposition algorithms, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Initial value problems for second-order parabolic equations, singular perturbations, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Singular perturbations in context of PDEs
Finite difference methods for boundary value problems involving PDEs, Multigrid methods; domain decomposition for boundary value problems involving PDEs, convergence, Shishkin mesh, Stability and convergence of numerical methods for boundary value problems involving PDEs, numerical results, boundary layers, Boundary value problems for second-order elliptic equations, Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs, finite difference domain decomposition algorithms, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Initial value problems for second-order parabolic equations, singular perturbations, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Singular perturbations in context of PDEs
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