闵敏, 邵泷. 椭圆型方程的若干间断有限元解法[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2012, 29(4): 431-436.DOI：
椭圆型方程的若干间断有限元解法
摘要
分别用对称的内部加罚方法、非对称的内部加罚方法和不完整的内部加罚方法求解变系数椭圆型方程
并对这三种方法的收敛阶进行了比较.此外又研究了加罚参数取不同值时对上述三种方法的影响
最后总结了这三种方法的优缺点.
Abstract
In this paper
we apply symmetric interior penalty Galerkin、nonsymmetric interior penalty Galerkin and incomplete interior penalty Galerkin methods to solving elliptic equation with variable coeffcients
and we compare with the convergence order of three methods.Besides
different values of penalty’s influence on the above methods are studied.Finally
we conclude the advantages and disadvantages of three methods.
关键词
Keywords
references
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