Weakened acute type condition for tetrahedral triangulations and the discrete maximum principle
Weakened acute type condition for tetrahedral triangulations and the discrete maximum principle
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DOI：
10.1090/s0025-5718-00-01270-9
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发表时间：
2001
期刊：
影响因子：
--
通讯作者：
S. Korotov;M. Křížek;P. Neittaanmäki
中科院分区：
文献类型：
--
作者：
S. Korotov;M. Křížek;P. Neittaanmäki
证明了在空间域上三角剖分四面体的面之间存在钝角的条件下，具有Dirichlet边界条件的Poisson方程的连续分片线性有限元逼近的离散最大值原理也成立.该结果代表了三维情况下急性类型条件的弱化形式。
We prove that a discrete maximum principle holds for continuous piecewise linear finite element approximations for the Poisson equation with the Dirichlet boundary condition also under a condition of the existence of some obtuse internal angles between faces of terahedra of triangulations of a given space domain. This result represents a weakened form of the acute type condition for the three-dimensional case.