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- W89029265 abstract "This chapter describes the block-relaxation method for solution of the Dirichlet problem. It presents a new approach to the algorithmic implementation and optimization for one class of block-relaxation methods for the solution of the Dirichlet problem for elliptic equations. It does not obtain results in the most general form; possible generalizations are sufficiently evident, and the proofs require only some more complicated mathematical calculations. The chapter considers the problem Lu = f in Ω, u = 0 in ∂Ω, with a strongly elliptic operator L = L1 + L2 where L1 = −(∂P/∂x) (∂/∂x) and L2 = −(∂Q/ ∂y) (∂/∂y) in some two dimensional connected domain Ω with boundary ∂Ω such that Ω¯ is the union of a finite number of rectangles Ωi i = 1, p¯." @default.
- W89029265 created "2016-06-24" @default.
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- W89029265 date "1982-01-01" @default.
- W89029265 modified "2023-09-26" @default.
- W89029265 title "The block-relaxation method for solution of the Dirichlet problem" @default.
- W89029265 doi "https://doi.org/10.1016/b978-0-08-026491-2.50020-1" @default.
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