High-order mimetic finite-difference operators satisfying the extended Gauss divergence theorem

DOI10.1016/j.cam.2019.06.042OpenAlexW2954770157MaRDI QIDQ2279871

Johnny Corbino, José E. Castillo

Publication date: 16 December 2019

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

Full work available at URL: https://doi.org/10.1016/j.cam.2019.06.042

zbMATH Keywords

finite-differencedifferential operatorshigh-ordermimetic

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical differentiation (65D25)

Related Items (4)

High order mimetic difference simulation of unsaturated flow using Richards equation ⋮ High order mimetic differences applied to the convection-diffusion equation: a matrix stability analysis ⋮ Solving Navier-Stokes with mimetic operators ⋮ High-order mimetic finite differences for anisotropic elliptic equations

Cites Work

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• Large sparse linear systems arising from mimetic discretization
• Convergence of a mimetic finite difference method for static diffusion equation
• The mimetic finite difference method for elliptic problems
• Algorithms for Higher-Order Mimetic Operators
• A Matrix Analysis Approach to Higher-Order Approximations for Divergence and Gradients Satisfying a Global Conservation Law

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