A characterization of hybridized mixed methods for second order elliptic problems

被引：115
|
作者：
Cockburn, B
Gopalakrishnan, J
机构：
[1] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA
[2] Univ Florida, Dept Math, Gainesville, FL 32611 USA
来源：
SIAM JOURNAL ON NUMERICAL ANALYSIS | 2004年 / 42卷 / 01期
关键词：
mixed finite elements; hybrid methods; elliptic problems;
D O I：
10.1137/S0036142902417893
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we give a new characterization of the approximate solution given by hybridized mixed methods for second order self-adjoint elliptic problems. We apply this characterization to obtain an explicit formula for the entries of the matrix equation for the Lagrange multiplier unknowns resulting from hybridization. We also obtain necessary and sufficient conditions under which the multipliers of the Raviart-Thomas and the Brezzi-Douglas-Marini methods of similar order are identical.
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页码：283 / 301
页数：19
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