Uniform convergent tailored finite point method for advection-diffusion equation with discontinuous, anisotropic and vanishing diffusivity

DOI10.1007/s10915-016-0254-1zbMath1359.65234OpenAlexW2498950006MaRDI QIDQ514457

Yi-Hong Wang, Min Tang

Publication date: 2 March 2017

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-016-0254-1

zbMATH Keywords

algorithmmaximum principleuniform convergenceboundary layeranisotropic diffusiontailored finite point methoddiscontinuous, vanishing diffusivityinterface layersteady state advection-diffusion equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Maximum principles in context of PDEs (35B50) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) PDEs with low regular coefficients and/or low regular data (35R05) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (6)

Two uniform tailored finite point method for strongly anisotropic and discontinuous diffusivity ⋮ Uniformly convergent scheme for steady MHD duct flow problems with high Hartmann numbers on structured and unstructured grids ⋮ Two linear finite difference schemes based on exponential basis for two-dimensional time fractional Burgers equation ⋮ A tailored finite point method for subdiffusion equation with anisotropic and discontinuous diffusivity ⋮ Tailored finite point method for the approximation of diffusion operators with non-symmetric diffusion tensor ⋮ Tailored finite point method for diffusion equations with interfaces on distorted meshes

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