  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.
