A MULTIGRID ALGORITHM FOR THE LOWEST-ORDER RAVIART-THOMAS MIXED TRIANGULAR FINITE-ELEMENT METHOD

被引：45

作者：

BRENNER, SC

机构：

[1] Clarkson Univ, Potsdam, NY

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1992年 / 29卷 / 03期

关键词：

ELLIPTIC BOUNDARY VALUE PROBLEM; MULTIGRID METHOD; NONCONFORMING FINITE ELEMENT; MIXED FINITE ELEMENT; RAVIART-THOMAS FINITE ELEMENT;

D O I：

10.1137/0729042

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An optimal order multigrid method for the lowest-order Raviart-Thomas mixed triangular finite element is developed. The algorithm and the convergence analysis are based on the equivalence between Raviart-Thomas mixed methods and certain nonconforming methods. Both the Dirichlet and singular Neumann boundary value problems for second-order elliptic equations are discussed.

引用

页码：647 / 678

页数：32

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[12]

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[13]

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[14]

FALK RS, 1980, RAIRO-ANAL NUMER-NUM, V14, P249