Comparison of Second- and Fourth-Order Discretizations for Multigrid Poisson Solvers
We combine a compact high-order difference approximation with multigrid V-cycle algorithm to solve the two-dimensional Poisson equation with Dirichlet boundary conditions. This scheme, along with several different orderings of grid space and projection operators, is compared with the five-point form...
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| Vydané v: | Journal of computational physics Ročník 132; číslo 2; s. 226 - 232 |
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| Hlavní autori: | , , |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
Elsevier Inc
01.04.1997
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| ISSN: | 0021-9991, 1090-2716 |
| On-line prístup: | Získať plný text |
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| Shrnutí: | We combine a compact high-order difference approximation with multigrid V-cycle algorithm to solve the two-dimensional Poisson equation with Dirichlet boundary conditions. This scheme, along with several different orderings of grid space and projection operators, is compared with the five-point formula to show the dramatic improvement in computed accuracy, on serial and vector machines. |
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| Bibliografia: | ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
| ISSN: | 0021-9991 1090-2716 |
| DOI: | 10.1006/jcph.1996.5466 |