Monotonicity in  RT  0  and PWCF methods on triangular and tetrahedral meshes

E. Kikinzon; Y. Kuznetsov; Z. Liu

doi:10.1134/S1995080216050061

Monotonicity in RT₀ and PWCF methods on triangular and tetrahedral meshes

Authors: Kikinzon E.¹, Kuznetsov Y.², Liu Z.²
Affiliations:
1. Computational Earth Science, EES-16
2. Department of Mathematics
Issue: Vol 37, No 5 (2016)
Pages: 550-560
Section: Article
URL: https://journals.rcsi.science/1995-0802/article/view/198264
DOI: https://doi.org/10.1134/S1995080216050061
ID: 198264

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Abstract
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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.

Keywords

Vector function, triangular mesh, tetrahedral mesh

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