ON A PROPERTY OF SOME TEST EQUATIONS FOR FINITE-DIFFERENCE OR FINITE-ELEMENT METHODS

被引:2
作者
CURTIS, AR
机构
[1] Computer Science and Systems Division, A.E.R.E. Harwell, United Kingdom
关键词
D O I
10.1093/imanum/1.3.369
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A frequently used class of simple non-self-adjoint elliptic PDE test problems is shown to result on discretization in matrices having highly specialized spectra, to the extent that such test problems may well not be representative of realproblems. A tentative suggestion is made of a slightly more complicated class of test problems, which it is hoped would avoid the difficulty. An appendix examines some of the properties of the spectra of finite-difference matrices from non-self-adjoint problems. © 1981 1981, by Academic Press Inc. (London) Limited.
引用
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页码:369 / 375
页数:7
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