Name
Abstract | ||
|---|---|---|
In this paper we examine the conditioning of the matrices resulting from certain conforming pseudospectral approximations. In particular, we consider non-conforming domain decompositions in rectangular domains and the solution of fourth order problems. We investigate the way in which the poor conditioning of these matrices affects the performance, in terms of accuracy, of various direct methods of solution of the resulting systems. We also show how a simple iterative refinement procedure can improve the accuracy of the results obtained with a capacitance technique. |
Year | DOI | Venue |
|---|---|---|
1999 | 10.1023/A:1025676806232 | J. Sci. Comput. |
Keywords | DocType | Volume |
order problem,certain domain decompositions,spectral methods,simple iterative refinement procedure,domain decomposition,various direct method,collocation,rectangular domain,condi- tioning.,poor conditioning,capacitance technique,pseudospectral approximation,pseudospectral matrices,conditioning,spectral method,direct method | Journal | 14 |
Issue | ISSN | Citations |
1 | 1573-7691 | 0 |
PageRank | References | Authors |
0.34 | 3 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Andreas Karageorghis | 1 | 204 | 47.54 |
| Marcin Paprzycki | 2 | 939 | 146.39 |