On the accuracy of grid approximations to nonsmooth solutions of a singularly perturbed reaction-diffusion equation in the square

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Error bounds for boundary value problems involving PDEs (65N15) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (9)

Balanced-norm error estimates for sparse grid finite element methods applied to singularly perturbed reaction-diffusion problems ⋮ A brief survey on numerical methods for solving singularly perturbed problems ⋮ A computational method for a two-parameter singularly perturbed elliptic problem with boundary and interior layers ⋮ A parameter-uniform numerical method for a singularly perturbed two parameter elliptic problem ⋮ A Two-Dimensional “Flea on the Elephant” Phenomenon and its Numerical Visualization ⋮ Convergence analysis of the Adini element on a Shishkin mesh for a singularly perturbed fourth-order problem in two dimensions ⋮ Pointwise approximation of corner singularities for a singularly perturbed reaction-diffusion equation in an $L$-shaped domain ⋮ Uniform Convergence of Finite-Difference Schemes for Reaction-Diffusion Interface Problems ⋮ Aliasing and two-dimensional well-balanced for drift-diffusion equations on square grids

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