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Finite element methods for the simulation of wave propagation in two- dimensional inhomogeneous elastic media. (English) Zbl 0592.73039

The author defines certain continuous and discrete-time standard Galerkin procedures and obtains optimal order convergence results in \(L^ 2(\Omega)\) and \(H^ 1(\Omega)\). Efficient time-stepping procedures which are analogous to the so-called Laplace-modified and alternating direction methods are also provided. These Galerkin procedures are applicable to approximate solutions for the wave equation in two-dimensional, inhomogeneous elastic media.
Reviewer: M.A.Ibiejugba

MSC:

74J99 Waves in solid mechanics
74E05 Inhomogeneity in solid mechanics
74S99 Numerical and other methods in solid mechanics
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