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-Reference-Cited by-同舟云学术

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

Published:2022-09-21 Issue:2 Volume:93 Page:
ISSN:0885-7474
Container-title:Journal of Scientific Computing
language:en
Short-container-title:J Sci Comput

Author:

Cavalcante T. M.^ORCID,Filho R. J. M. Lira,Souza A. C. R.,Carvalho D. K. E.,Lyra P. R. M.

Funder

Fundação de Amparo à Ciência e Tecnologia do Estado de Pernambuco

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,General Engineering,Theoretical Computer Science,Software,Applied Mathematics,Computational Mathematics,Numerical Analysis

Link

https://link.springer.com/content/pdf/10.1007/s10915-022-01978-6.pdf

Reference37 articles.

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2. Aavatsmark, I., Barkve, T., Bøe, O., Mannseth, T.: Discretization on unstructured grids for inhomogeneous, anisotropic media. Part I derivation of the methods. SIAM J. Sci. Comput. 19, 1700–1716 (1998). https://doi.org/10.1137/S1064827595293582

3. Aavatsmark, I., Barkve, T., Bøe, O., Mannseth, T.: Discretization on unstructured grids for inhomogeneous, anisotropic media. Part II. Discussion and numerical results. SIAM J. Sci. Comput. 19, 1717–1736 (1998). https://doi.org/10.1137/S1064827595293594

4. Edwards, M.G., Rogers, C.F.: Finite volume discretization with imposed flux continuity for the general tensor pressure equation. Comput. Geosci. 2, 259–290 (1998). https://doi.org/10.1023/A:1011510505406

5. Fletcher, C.A.J.: Computational Galerkin Methods. Springer, Berlin (1984). https://doi.org/10.1007/978-3-642-85949-6〹

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