Fast and data sparse time domain BEM for elastodynamics

Wave propagation is of great interest for all fields of science and engineering. Particularly, for the case of semi-infinite and infinite domains, the Boundary Element Method is an appropriate numerical method for the simulation of such problems. The presented formulation establishes a data efficient and fast boundary element formulation for the 3-d elastodynamic problem. Approximations of the inherently present temporal convolution are computed via the Convolution Quadrature Method in a nonstandard manner. Contrary to utilizing Cauchy׳s integral formula, this paper establishes a ‘direct’ convolution weight evaluation. The application of a cubic spline interpolation on these analytic functions and an appropriate clustering strategy, finally, yield a fast and data efficient formulation that is validated with numerical examples.