Using FEMLAB for Gravitational problems: numerical simulations for all
General Relativity and Quantum Cosmology
2007-05-23 v1
Abstract
We discuss the possibility to solve Modern Numerical Relativity problems using finite element methods (FEM). Adopting a "user friendly" software for handling totally general systems of nonlinear partial differential equations, FEMLAB, we model and numerically solve in a short time a Gowdy vacuum spacetime, representing an inhomogeneous cosmology. Results agree perfectly with existing simulations in the recent literature based not of FEMs but on finite differences methods. Possible applications for non relativistic Astrophysics, General Relativity, elementary particle physics and more general theories of gravitation like EMDA and branes are discussed.
Cite
@article{arxiv.gr-qc/0509099,
title = {Using FEMLAB for Gravitational problems: numerical simulations for all},
author = {Christian Cherubini and Simonetta Filippi},
journal= {arXiv preprint arXiv:gr-qc/0509099},
year = {2007}
}
Comments
6 pages, 18 eps figures, RevTeX style