A Multipoint Flux Approximation with a Diamond Stencil and a Non-Linear Defect Correction Strategy for the Numerical Solution of Steady State Diffusion Problems in Heterogeneous and Anisotropic Media Satisfying the Discrete Maximum Principle

In the present paper, we solve the steady state diffusion equation in 3D domains by means of a cell-centered finite volume method that uses a Multipoint Flux Approximation with a Diamond Stencil and a Non-Linear defect correction strategy (MPFA-DNL) to guarantee the Discrete Maximum Principle (DMP)....

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Bibliographic Details
Published in:	Journal of scientific computing Vol. 93; no. 2; p. 42
Main Authors:	Cavalcante, T. M., Filho, R. J. M. Lira, Souza, A. C. R., Carvalho, D. K. E., Lyra, P. R. M.
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.11.2022 Springer Nature B.V
Subjects:	Algorithms Anisotropic media Anisotropy Approximation Computational Mathematics and Numerical Analysis Defects Diamonds Diffusion rate Finite element analysis Finite volume method Mathematical analysis Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Maximum principle Partial differential equations Robustness (mathematics) Steady state Tensors Theoretical Heterogeneous and anisotropic media 3D diffusion problems MPFA-DNL Discrete maximum principle (DMP) Unstructured tetrahedral meshes
ISSN:	0885-7474, 1573-7691
Online Access:	Get full text
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