AN INTERVAL ARITHMETIC DOMAIN DECOMPOSITION METHOD FOR A CLASS OF ELLIPTIC PDES ON NONRECTANGULAR DOMAINS

[摘要] We introduce an interval arithmetic domain decomposition method for linear systems with interval coefficients resulting from the application of difference methods for a class of elliptic boundary value problems on domains with irregular geometry. The efficient treatment of such systems is crucial for the efficiency of globally convergent Newton-like interval methods for the corresponding nonlinear problems.

[发布日期] 1994-05-20

[关键词] DOMAIN DECOMPOSITION;INTERVAL ARITHMETIC;ELLIPTIC BOUNDARY VALUE PROBLEMS;NONRECTANGULAR DOMAINS