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Jacobi splittings and the method of overlapping domains for solving elliptic P. D. E. 's

Conference ·
OSTI ID:5003432

The numerical Schwarz algorithm for solving elliptic partial differential equations is essentially a block Gauss-Siedel method for inverting a matrix equation. The numerical Schwarz algorithm is only one variant of the method of overlapping domains. This method yields matrix equations that are related to the standard systems obtained from elliptic P.D.E.'s. This paper analyzes the use of Jacobi splittings on these matrix equations.

Research Organization:
Lawrence Livermore National Lab., CA (USA)
DOE Contract Number:
W-7405-ENG-48
OSTI ID:
5003432
Report Number(s):
UCRL-90656; CONF-8406113-1; ON: DE84010556
Country of Publication:
United States
Language:
English