Finite element approximations of a nonlinear diffusion model with memory
NIDE-FE_NumerAlgor.pdf (986.2Kb)Abstract
The convergence of a finite element scheme approximating a nonlinear
system of integro-differential equations is proven. This system arises in mathematical
modeling of the process of a magnetic field penetrating into a substance. Properties of
existence, uniqueness and asymptotic behavior of the solutions are briefly described.
The decay of the numerical solution is compared with both the theoretical and finite
difference results.
Description
The article of record as published may be located at http://dx.doi.org/10.1007/s11075-012-9658-7