Uniformly convergent finite volume difference scheme for 2D convection-dominated problem with discontinuous coefficients
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摘要
Two dimensional singularly perturbed convection–diffusion problem with discontinuous coefficients is considered. The problem is discretized using an inverse-monotone finite volume method on Shishkin meshes. We established first-order global pointwise convergence that is uniform with respect to the perturbation parameter. Numerical experiments that support the theoretical results are given.
论文关键词：Convection–diffusion problems,Singular perturbation,Asymptotic analysis,Finite volume methods,Modified upwind approximations,Uniform convergence,Shishkin mesh
论文评审过程：Available online 13 May 2004.
论文官网地址：https://doi.org/10.1016/j.amc.2004.04.007
