SciCADE 2013
International Conference on Scientific Computation and Differential Equations
September 16-20, 2013, Valladolid (Spain)

Contributed Talk

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Laplace-finite element methods for integro-differential equations of Volterra type

J.A. Ferreira, S. Barbeiro and S. Bardeji

Abstract
In this talk we consider numerical methods for integro-differential problems based on time discretization via Laplace transformation. We focus our attention in models arising in the context of non Fickian solute transport phenomena in porous media. The mathematical models which describe the evolution of the solute concentrations are characterized by Volterra equations. We present and analyze hybrid methods which combines the Laplace transformation with respect to the time variable with the finite element discretizations in the spatial variables. Numerical results illustrating the performance of the methods are included.

Organized by         Universidad de Valladolid     IMUVA