A Generalized Finite Element Method for solving the Helmholtz equation in two dimensions with minimal pollution

被引：325

作者：

Babuska, I

Ihlenburg, F

Paik, ET

Sauter, SA

机构：

[1] Institute of Physical Science and Technology, University of Maryland, College Park

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1995年 / 128卷 / 3-4期

关键词：

Finite element method;

D O I：

10.1016/0045-7825(95)00890-X

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

When using the Galerkin FEM for solving the Helmholtz equation in two dimensions, the error of the corresponding solution differs substantially from the error of the best approximation, and this effect increases with higher wave number k. In this paper we will design a Generalized Finite Element Method (GFEM) for the Helmholtz equation such that the pollution effect is minimal.

引用

页码：325 / 359

页数：35

共 9 条

[1] GENERALIZED FINITE-ELEMENT METHODS - THEIR PERFORMANCE AND THEIR RELATION TO MIXED METHODS [J].