Finite element approximations of a nonlinear diffusion model with memory

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Author
Jangveladze, Temur
Kiguradze, Zurab
Neta, Beny
Reich, Simeon
Date
2013Metadata
Show full item recordAbstract
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.
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The article of record as published may be located at http://dx.doi.org/10.1007/s11075-012-9658-7