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Zbl 1184.65092
Sun, Tongjun; Ma, Keying
Parallel Galerkin domain decomposition procedures for wave equation. (English)
[J] J. Comput. Appl. Math. 233, No. 8, 1850-1865 (2010). ISSN 0377-0427

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.
[Rémi Vaillancourt (Ottawa)]

MSC 2000:: *65M60 Finite numerical methods (IVP of PDE)
65M55 Multigrid methods; domain decomposition (IVP of PDE)
65M15 Error bounds (IVP of PDE)
35L05 Wave equation
65Y05 Parallel computation (numerical methods)
65M12 Stability and convergence of numerical methods (IVP of PDE)

Keywords: Galerkin method; domain decomposition parallel computation; wave equation; integral mean method; extrapolation; error estimates; convergence; numerical experiments

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