A finite element formulation for a convection-diffusion equation based on Cattaneo's law

A number of contributions have been made during the last decades to model pure-diusive transport problems by using the so-called hyperbolic diusion equa- on problems based on a Cattaneo-type law. The finite element solution of the proposed equations is addressed. The performance of the algorithm is verified by solving some 2D test cases. Some interesting features of the proposed model can be observed from these examples and we conclude that the proposal is a feasible alternative to the parabolic model for real engineering simulations.

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