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Parallel Newton-Krylov-Schwarz algorithms for the transonic full potential equation. (English) Zbl 0917.76035
The authors study several aspects of the parallel implementation of a Krylov-Schwarz domain decomposition algorithm for the finite element solution of the nonlinear full potential equation of aerodynamics. They employ a combined algorithm, called Newton-Krylov-Schwarz (NKS) algorithm, and demonstrate that the NKS procedure, combined with a density upwinding continuation strategy for problems with weak shocks, is robust and economical for this class of mixed elliptic-hyperbolic nonlinear partial differential equations, with proper specification of several parameters. Numerical results for some subsonic and transonic flows are given and discussed.
Reviewer: S.Nocilla (Torino)

MSC:
76M10 Finite element methods applied to problems in fluid mechanics
76H05 Transonic flows
76G25 General aerodynamics and subsonic flows
65N55 Multigrid methods; domain decomposition for boundary value problems involving PDEs
65Y05 Parallel numerical computation
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