STABLE SPLITTING OF POLYHARMONIC OPERATORS BY GENERALIZED STOKES SYSTEMS

被引：21

作者：

Gallistl, Dietmar ^{[1
]}

机构：

[1] Karlsruhe Inst Technol, Inst Angew & Numer Math, Englerstr 2, D-76131 Karlsruhe, Germany

来源：

MATHEMATICS OF COMPUTATION | 2017年 / 86卷 / 308期

关键词：

Finite element methods; Stokes system; mixed finite elements; polyharmonic equation; FINITE-ELEMENT METHODS; EIGENVALUE PROBLEMS; R-N; EQUATIONS; APPROXIMATION; PLATES;

D O I：

10.1090/mcom/3208

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A stable splitting of 2m-th order elliptic partial differential equations into 2(m - 1) problems of Poisson type and one generalized Stokes problem is established for any space dimension d >= 2 and any integer m >= 1. This allows a numerical approximation with standard finite elements that are suited for the Poisson equation and the Stokes system, respectively. For some fourth- and sixth-order problems in two and three space dimensions, precise finite element formulations along with a priori error estimates and numerical experiments are presented.

引用

页码：2555 / 2577

页数：23

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