COARSE-GRID CORRECTION FOR NONELLIPTIC AND SINGULAR PERTURBATION PROBLEMS

Authors
Citation
I. Yavneh, COARSE-GRID CORRECTION FOR NONELLIPTIC AND SINGULAR PERTURBATION PROBLEMS, SIAM journal on scientific computing (Print), 19(5), 1998, pp. 1682-1699
Citations number
19
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
10648275
Volume
19
Issue
5
Year of publication
1998
Pages
1682 - 1699
Database
ISI
SICI code
1064-8275(1998)19:5<1682:CCFNAS>2.0.ZU;2-L
Abstract
The suitability of coarse-grid correction operators for multigrid solu tion of discretized nonelliptic partial differential equations is stud ied. It is found that the requirements for the orders of intergrid tra nsfers and the order of approximation of the coarse-grid operators dif fer in an important way from the well-known ''rules'' pertaining to el liptic operators. Both Galerkin coarsening and coarsening schemes base d on the differential operator are examined, and new coarse-grid corre ction strategies are suggested in light of this analysis.