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Parallel Galerkin domain decomposition procedures for wave equation. (English) Zbl 1184.65092
The authors extend parallel Galerkin domain decomposition procedures for the wave equation on a general domain. Two approximation schemes are established. They use implicit Galerkin procedures in the sub-domains, called integral mean parallel domain decomposition scheme, and explicit flux calculations on the inter-boundaries of the sub-domains, called extrapolation integral mean parallel domain decomposition scheme. L 2 error estimates are derived for analyzing the convergence of these schemes. Results of some numerical experiments are presented.
MSC:
65M60Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods (IVP of PDE)
65M55Multigrid methods; domain decomposition (IVP of PDE)
65M15Error bounds (IVP of PDE)
35L05Wave equation (hyperbolic PDE)
65Y05Parallel computation (numerical methods)
65M12Stability and convergence of numerical methods (IVP of PDE)