A LEAST-SQUARES FINITE-ELEMENT METHOD FOR THE HELMHOLTZ-EQUATION

被引：41

作者：

CHANG, CL

机构：

[1] Department of Mathematics, Cleveland State University, Cleveland

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1990年 / 83卷 / 01期

关键词：

D O I：

10.1016/0045-7825(90)90121-2

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Convert the Helmholtz equation into a system of first order equations by identifying the derivatives of the solution as additional unknowns and complete the system of three (in 2-D) equations with an additional curl equation satisfied automatically for the exact solution. Then a least-squares solution of the transformed system is proposed. The C0-piecewise polynomials are applied for function and its derivatives as well. The optimal error estimates for l2- and H1-norms are derived. Numerical examples of this method are also provided. © 1990.

引用

页码：1 / 7

页数：7

共 11 条

[1] ESTIMATES NEAR BOUNDARY FOR SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS SATISFYING GENERAL BOUNDARY CONDITIONS .2. [J].