On a Property of Some Test Equations for Finite Difference or Finite Element Methods
- 1 January 1981
- journal article
- Published by Oxford University Press (OUP) in IMA Journal of Numerical Analysis
- Vol. 1 (3) , 369-375
- https://doi.org/10.1093/imanum/1.3.369
Abstract
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 “real” problems. A tentative suggestion is made of a slightly more complicated class of test problems, which it is hoped would avoid the difficulty.Keywords
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