Space-time discontinuous Galerkin method for the problem of linear elasticity

Abstract

In this paper we shall describe the space-time discontinuous Galerkin method (STDGM) applied to the problem of dynamic linear elasticity. In contrast to standard applications of the DGM to non-stationary problems, the main concept of the discontinuous Galerkin method - discontinuous piecewise polynomial approximation - is applied both in space and in time and hence a more robust and accurate scheme is obtained.

Keywords

• Space-time discontinuous Galerkin method
• problem of linear elasticity
• interaction with fluids