The present state-of-the-art article is devoted to the analysis of new trends and recent results
carried out during the last 10 years in the field of fractional calculus application to dynamic …

Sponsored by the US National Science Foundation, a workshop on the boundary element
method (BEM) was held on the campus of the University of Akron during September 1–3 …

Wave propagation is an important topic in engineering sciences, especially, in the field of
solid mechanics. A description of wave propagation phenomena is given by Graff [98]: The …

Fractional time derivatives are used to deduce a generalization ofviscoelastic constitutive
equations of differential operator type. Theseso-called fractional constitutive equations result …

Time-dependent problems that are modeled by initial-boundary value problems for
parabolic or hyperbolic partial differential equations can be treated with the boundary …

This article reviews convolution quadrature and its uses, extends the known approximation
results for the case of sectorial Laplace transforms to finite-part convolutions with non …

The numerical analysis of elastic wave propagation in unbounded media may be difficult
due to spurious waves reflected at the model artificial boundaries. This point is critical for the …

To analyze seismic wave propagation in geological structures, it is possible to consider
various numerical approaches: the finite difference method, the spectral element method …

In this paper we consider Dirichlet or Neumann wave propagation problems reformulated in
terms of boundary integral equations with retarded potential. Starting from a natural energy …

Boundary element methods for steady state problems have reached a state of maturity in
both analysis and efficient implementation and have become an ubiquitous tool in …