Monotonicity in RT0 and PWCF methods on triangular and tetrahedral meshes
- Authors: Kikinzon E.1, Kuznetsov Y.2, Liu Z.2
-
Affiliations:
- Computational Earth Science, EES-16
- 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
Cite item
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
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