AN INTERIOR PENALTY FINITE-ELEMENT METHOD WITH DISCONTINUOUS ELEMENTS
AN INTERIOR PENALTY FINITE-ELEMENT METHOD WITH DISCONTINUOUS ELEMENTS
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DOI：
10.1137/0719052
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发表时间：
1982-01-01
影响因子：
2.9
通讯作者：
ARNOLD, DN
中科院分区：
文献类型：
--
作者：
ARNOLD, DN
提出并分析了求解二阶非线性抛物型边值问题的半离散有限元新方法。测试和试验空间由不连续的分段多项式函数组成，在相当一般的网格上，单元间的连续性通过惩罚近似地实现。能量和范数的最优阶误差估计用局部表示量来表示。首先对模型问题进行证明，然后对一般问题进行证明。
A new semidiscrete finite element method for the solution of second order nonlinear parabolic boundary value problems is formulated and analyzed. The test and trial spaces consist of discontinuous piecewise polynomial functions over quite general meshes with interelement continuity enforced approximately by means of penalties. Optimal order error estimates in energy and-norms are stated in terms of locally expressed quantities. They are proved first for a model problem and then in general.