A study of mimetic and finite difference methods for the static diffusion equation

DOI10.1016/J.CAMWA.2018.05.004zbMath1419.65093OpenAlexW2806792437MaRDI QIDQ2001703

Yanyan Li

Publication date: 11 July 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.05.004

zbMATH Keywords

conservative methodsfinite difference methodsboundary layersteady-state diffusion equationmimetic methods

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06)

Cites Work

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• Solving diffusion equations with rough coefficients in rough grids
• Linear systems arising for second order mimetic divergence and gradient discretizations
• Mimetic finite difference methods for diffusion equations
• Support-operator finite-difference algorithms for general elliptic problems
• A new conservative method for the unsteady heat equation
• A Matrix Analysis Approach to Higher-Order Approximations for Divergence and Gradients Satisfying a Global Conservation Law
• Numerical Solution of Partial Differential Equations
• Conservative Finite-Difference Methods on General Grids

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