Tensor formulation of 3-D mimetic finite differences and applications to elliptic problems

zbMath1355.65141MaRDI QIDQ501646

Yong-Cai Geng, Sumit K. Garg

Publication date: 9 January 2017

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.emis.de/journals/ETNA/volumes/2011-2020/vol45/abstract_vol45_pp457-475.html

zbMATH Keywords

convergencenumerical exampleconsistencytensor productsboundary value problemsecond-order elliptic equationsmimetic finite differenceslocally refined grids

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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (4)

A dispersion analysis of uniformly high order, interior and boundaries, mimetic finite difference solutions of wave propagation problems ⋮ High-order mimetic finite-difference operators satisfying the extended Gauss divergence theorem ⋮ Iterative Tikhonov regularization of tensor equations based on the Arnoldi process and some of its generalizations ⋮ Some iterative approaches for Sylvester tensor equations. I: A tensor format of truncated loose simpler GMRES

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