Numerical methods for a class of nonlinear hyperbolic problems: a comparative study
Kharenko D., Padovani C., Pagni A., Pasquinelli G., Semin L.
Physical Sciences and Engineering Initial value problems for second-order hyperbolic equations 35L67 Shocks and singularities 74B20 Nonlinear elasticity 74H05 Explicit solutions
In this paper we consider the problem of the free longitudinal vibrations of a beam made of a bimodular material, i.e. an elastic material whose in-tension Young's modulus is a fraction of that under compression. After recalling the exact solutions for an ifinite beam and for a beam with fixed ends calculated via the characteristics method, we apply high-resolution methods based on the finite-element approach to solve the nonliner equation of the motion. In particular, we compare the exact solutions with the numerical solutions calculated using the space-time element method, the collocation and least-squares method, as well as TVD and Newmark methods.
Source: ISTI Technical reports, 2009
Back to previous page
@techreport{oai:it.cnr:prodotti:161108,
title = {Numerical methods for a class of nonlinear hyperbolic problems: a comparative study},
author = {Kharenko D. and Padovani C. and Pagni A. and Pasquinelli G. and Semin L.},
institution = {ISTI Technical reports, 2009},
year = {2009}
}
0000-0002-2467-569X