An adaptive local grid refinement method for 2D diffusion equation with variable coefficients based on block-centered finite differences

DOI10.1016/j.amc.2015.06.083zbMath1410.65421OpenAlexW822145672MaRDI QIDQ668110

Xinlong Feng, Zhifeng Weng, Shuying Zhai

Publication date: 18 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.06.083

zbMATH Keywords

Neumann boundary conditionadaptive local grid refinementblock-centered finite difference methoddiffusion equation with variable coefficientshigh gradient problems

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) 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 (4)

Half boundary method for two-dimensional steady-state nonlinear convection-diffusion equations ⋮ A linearlized mass-conservative fourth-order block-centered finite difference method for the semilinear Sobolev equation with variable coefficients ⋮ High order compact finite difference methods for non-Fickian flows in porous media ⋮ A very high-order finite volume method based on weighted least squares for elliptic operators on polyhedral unstructured grids

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