Monotonicity in RT b class="a-plus-plus">0b> and PWCF methods on triangular and tetrahedral meshes

详细信息    查看全文

• 作者：E. Kikinzon ; Y. Kuznetsov ; Z. Liu
• 关键词：and phrasesVector function ; triangular mesh ; tetrahedral mesh
• 刊名：Lobachevskii Journal of Mathematics
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：37
• 期：5
• 页码：550-560
• 全文大小：736 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics<br>Mathematics<br>Algebra<br>Analysis<br>Geometry<br>Mathematical Logic and Foundations<br>Probability Theory and Stochastic Processes<br>Russian Library of Science<br>
• 出版者：MAIK Nauka/Interperiodica distributed exclusively by Springer Science+Business Media LLC.
• ISSN：1818-9962
• 卷排序：37

文摘

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 (RTb>0b>) 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.