ON SPECTRAL POLLUTION

被引：17

作者：

LLOBET, X

APPERT, K

BONDESON, A

VACLAVIK, J

机构：

[1] Centre de Recherches and Physique des Plasmas, Association Euratom - Confédération Suisse, Ecole Polytechnique Fédérale de Lausanne, CH-1007 Lausanne, 21, av. des Bains

来源：

COMPUTER PHYSICS COMMUNICATIONS | 1990年 / 59卷 / 02期

关键词：

D O I：

10.1016/0010-4655(90)90170-6

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Finite difference and finite element approximations of eigenvalue problems, under certain circumstances, exhibit spectral pollution, i.e. the appearance of eigenvalues that do not converge to the correct value when the mesh density is increased. In the present paper this phenomenon is investigated in a homogeneous case by means of discrete dispersion relations: the polluting modes belong to a branch of the dispersion relation that is strongly distorted by the discretization method employed, or to a new, spurious branch. The analysis is applied to finite difference methods and to finite element methods, and some indications about how to avoid polluting schemes are given. © 1990.

引用

页码：199 / 216

页数：18

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