Two-level additive Schwarz preconditioners for fourth-order mixed methods

被引：0

作者：

Hanisch, MR ^{[1
]}

机构：

[1] Calvin Coll, Dept Math, Grand Rapids, MI 49546 USA

来源：

ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS | 2006年 / 22卷

关键词：

additive Schwarz preconditioner; mixed finite elements; biharmonic equation; domain decomposition; mesh dependent norms;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A two-level additive Schwarz preconditioning scheme for solving Ciarlet-Raviart, Hermann-Miyoshi, and Hellan-Hermann-Johnson mixed method equations for the biharmonic Dirichlet problem is presented. Using suitably defined mesh-dependent forms, a unified approach, with ties to the work of Brenner for nonconforming methods, is provided. In particular, optimal preconditioning of a Schur complement formulation for these equations is proved on polygonal domains without slits, provided the overlap between subdomains is sufficiently large.

引用

页码：1 / 16

页数：16

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