Matrix approach to mimetic discretizations for differential operators on nonuniform grids

DOI10.1016/j.matcom.2006.06.025zbMath1103.65022OpenAlexW2092999375MaRDI QIDQ853245

N. E. Zubov

Publication date: 15 November 2006

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2006.06.025

zbMATH Keywords

numerical differentiationconservative methodsgradientdivergencediscrete operatorsmimetic methods

Mathematics Subject Classification ID

Numerical differentiation (65D25)

Related Items (2)

Large sparse linear systems arising from mimetic discretization ⋮ High-order mimetic finite-difference operators satisfying the extended Gauss divergence theorem

Cites Work

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• Solving diffusion equations with rough coefficients in rough grids
• The numerical solution of diffusion problems in strongly heterogeneous non-isotropic materials
• Adjoint operators for the natural discretizations of the divergence, gradient and curl on logically rectangular grids
• Approximation of boundary conditions for mimetic finite-difference methods
• Classroom Note:Centrosymmetric Matrices
• A Matrix Analysis Approach to Higher-Order Approximations for Divergence and Gradients Satisfying a Global Conservation Law
• Conservative Finite-Difference Methods on General Grids
• Fourth- and sixth-order conservative finite difference approximations of the divergence and gradient

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