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Non-overlapping Schwarz method for systems of first order equations. (English) Zbl 0935.76049

Mandel, Jan (ed.) et al., Domain decomposition methods 10. The 10th international conference, Boulder, CO, USA, August 10-14, 1997. Providence, RI: AMS, American Mathematical Society. Contemp. Math. 218, 408-416 (1998).
The goal is a better understanding of domain decomposition methods for first-order systems of PDEs in computational fluid dynamics. The author gives a short outline of finite volume method combined with Schwarz method and GMRES. Examples are given for Cauchy-Riemann equations and for shallow water flows over a bump.
For the entire collection see [Zbl 0895.00045].

MSC:

76M12 Finite volume methods applied to problems in fluid mechanics
76N15 Gas dynamics (general theory)