Convergence of a mimetic finite difference method for static diffusion equation

DOI10.1155/2007/12303zbMath1158.65053OpenAlexW2005923878WikidataQ59214224 ScholiaQ59214224MaRDI QIDQ2472247

Yanyan Li

Publication date: 20 February 2008

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/55243

zbMATH Keywords

convergencenumerical examplesmimetic finite difference methodstatic diffusion equation

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Sequential estimation (62L12)

Related Items (4)

A new mimetic scheme for the acoustic wave equation ⋮ A mimetic iterative scheme for solving biharmonic equations ⋮ Finite difference schemes satisfying an optimality condition for the unsteady heat equation ⋮ High-order mimetic finite-difference operators satisfying the extended Gauss divergence theorem

Cites Work

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• Linear systems arising for second order mimetic divergence and gradient discretizations
• Mimetic finite difference methods for diffusion equations on non-orthogonal non-conformal meshes
• A Matrix Analysis Approach to Higher-Order Approximations for Divergence and Gradients Satisfying a Global Conservation Law
• The Mathematics of Financial Derivatives
• Fourth- and sixth-order conservative finite difference approximations of the divergence and gradient

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