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A new hybrid velocity integration method applied to elastic wave propagation

✍ Scribed by Zhiyun Chen; Holger Steeb; Stefan Diebels

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
887 KB
Volume
74
Category
Article
ISSN
0029-5981

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✦ Synopsis

Abstract

We present a novel space–time Galerkin method for solutions of second‐order time‐dependent problems. By introducing the displacement–velocity relationship implicitly, the governing set of equations is reformulated into a first‐order single field problem with the unknowns in the velocity field. The resulting equation is in turn solved by a time‐discontinuous Galerkin approach (Int. J. Numer. Anal. Meth. Geomech. 2006; 30:1113–1134), in which the continuity between time intervals is weakly enforced by a special upwind flux treatment. After solving the equation for the unknown velocities, the displacement field quantities are computed a posteriori in a post‐processing step. Various numerical examples demonstrate the efficiency and reliability of the proposed method. Convergence studies with respect to the h‐ and p‐refinement and different discretization techniques are given. Copyright © 2007 John Wiley & Sons, Ltd.

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