Email this article Monotonicity in RT0 and PWCF methods on triangular and tetrahedral meshes
- Authors: Kikinzon E.1, Kuznetsov Y.2, Liu Z.2
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Affiliations:
- Computational Earth Science, EES-16
- Department of Mathematics
- Issue: Vol 37, No 5 (2016)
- Pages: 550-560
- Section: Article
- URL: https://bakhtiniada.ru/1995-0802/article/view/198264
- DOI: https://doi.org/10.1134/S1995080216050061
- ID: 198264
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Abstract
In this paper we derive the monotonicity conditions for condensed-algebraic systems obtained by the discretization of the Poisson’s problem by the classical lowest order Raviart–Thomas (RT0) and the piece-wise constant fluxes (PWCF) MFE methods on triangular and tetrahedral meshes. We also establish the correspondence between the condensed system matrices resulting from application of these two methods.
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About the authors
E. Kikinzon
Computational Earth Science, EES-16
Author for correspondence.
Email: kikinzon@lanl.gov
United States, Los Alamos, NM, 87545
Y. Kuznetsov
Department of Mathematics
Email: kikinzon@lanl.gov
United States, 641 PGH, Houston, TX, 77204
Z. Liu
Department of Mathematics
Email: kikinzon@lanl.gov
United States, 641 PGH, Houston, TX, 77204
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