×

The ultra-weak variational formulation for elastic wave problems. (English) Zbl 1093.74028

Summary: The ultra-weak variational formulation has been used to solve time-harmonic acoustic and electromagnetic wave propagation in inhomogeneous media. We develop the ultra-weak variational formulation for elastic wave propagation in two space dimensions. In order to improve the accuracy and stability of the method, we find it necessary to approximate the \(S\)- and \(P\)-wave components of the solution in a balanced way. Some preliminary analysis is provided and numerical evidence is presented of the efficiency of the scheme in comparison to piecewise linear finite elements.

MSC:

74J10 Bulk waves in solid mechanics
74J20 Wave scattering in solid mechanics
74S05 Finite element methods applied to problems in solid mechanics
PDFBibTeX XMLCite
Full Text: DOI