Uniform Pointwise Convergence of an Upwind Finite Volume Method on Layer-Adapted Meshes

DOI<247::AID-ZAMM247>3.0.CO;2-9 10.1002/1521-4001(200204)82:4<247::AID-ZAMM247>3.0.CO;2-9zbMath1006.65127OpenAlexW1990343744MaRDI QIDQ4537533

Torsten Linss

Publication date: 1 July 2002

Full work available at URL: https://doi.org/10.1002/1521-4001(200204)82:4<247::aid-zamm247>3.0.co;2-9

zbMATH Keywords

stabilityconvergenceconvection-diffusion equationnumerical experimentsfinite volume methodssingular perturbationserror boundsShishkin mesh

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (8)

Numerical solution of a two-dimensional singularly perturbed reaction-diffusion problem with discontinuous coefficients ⋮ A brief survey on numerical methods for solving singularly perturbed problems ⋮ Unnamed Item ⋮ An upwind finite volume element method on a Shishkin mesh for singularly perturbed convection-diffusion problems ⋮ Layer-adapted meshes for convection-diffusion problems ⋮ Fitted finite element methods for singularly perturbed elliptic problems of convection-diffusion type ⋮ Quadratic upwind differencing scheme in the finite volume method for solving the convection-diffusion equation ⋮ Uniformly convergent finite volume difference scheme for 2D convection-dominated problem with discontinuous coefficients

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