We study the numerical dispersion of spectral element methods of arbitrary order for the
isotropic elastic wave equation in two and three dimensions by a simplified modal analysis …

In this paper, we carry out a numerical dispersion analysis for the linear two-dimensional
elastodynamics equations approximated by means of NURBS-based Isogeometric Analysis …

This manuscript presents a multi-dimensional, high order homogenization model for elastic
composite materials subjected to dynamic loading conditions. The proposed model is …

Isogeometric analysis (IGA) is a novel computer aided engineering technique that
addresses diverse problems in computational mechanics [[1],[2],[3],[4]], all under the exact …

This paper presents a high‐order homogenization model for wave propagation in
viscoelastic composite structures. Asymptotic expansions with multiple spatial scales are …

We study convergence and stability of Iso-Geometric Analysis (or B-spline method) under k-
refinement for splines of maximum smoothness in the setting of the initial value problem for …

In this thesis we present a new method for nonlinear frequency response analysis of
mechanical vibrations. For an efficient spatial discretization of nonlinear partial differential …

This study investigates the numerical prediction of eigenvalues/eigenvectors in heat
conduction transfer problems based on approximation spaces constructed using a high …

Con los métodos clásicos de análisis dinámico de estructuras solicitadas por movimientos
en la base producida por el arribo de ondas que viajan por el suelo, se analiza la respuesta …

The aim of this paper is to show the influence of a devised approximation space in obtaining
natural frequencies, especially relatively high ones, and in the prediction of the undamped …