The Ultra-Weak Variational Formulation for Elastic Wave Problems
نویسندگان
چکیده
In this paper we investigate the feasibility of using the ultra weak variational formulation (UWVF) to solve the timeharmonic 3D elastic wave propagation problem. The UWVF is a non-polynomial volume based method that uses plane waves as basis functions which reduces the computational burden. More general, the UWVF is a special form of the discontinuous Galerkin method. As a model problem we consider plane wave propagation in a cubic domain. We shall show numerical results for the accuracy, conditioning and p-convergence of the UWVF. In addition, we shall investigate the effect of different ratios of the Pand S-wave basis functions.
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ورودعنوان ژورنال:
- SIAM J. Scientific Computing
دوره 25 شماره
صفحات -
تاریخ انتشار 2004