Mimetic finite difference operators for second-order tensors on unstructured grids

DOI10.1016/S0898-1221(02)00137-2zbMath0999.65013OpenAlexW2063049785MaRDI QIDQ1609169

J. C. Campbell, James M. Hyman, Mikhail J. Shashkov

Publication date: 15 August 2002

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

Full work available at URL: https://doi.org/10.1016/s0898-1221(02)00137-2

zbMATH Keywords

convergenceerror boundsunstructured gridsfinite difference methodsnonuniform gridsmimeticdivergence of a tensorgradient of a vectorsupport operators method

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Algorithms for approximation of functions (65D15) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical differentiation (65D25)

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Cites Work

• Solving diffusion equations with rough coefficients in rough grids
• Natural discretizations for the divergence, gradient, and curl on logically rectangular grids
• 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