An Exponentially Fitted Finite Element Scheme for Diffusion Process Simulation on Coarse Grids
A new finite element scheme for diffusion process simulation, which allows coarse grid spacings in the areas of exponentially varying concentrations and fluxes, is proposed. It employs a nonlinear test function obtained from local divergence free conditions. Two-dimensional test computations show clear superiority of the exponentially fitted finite element scheme over the standard approach, as well as its robustness regarding irregular grid geometry.
KeywordsDiffusion Equation Grid Structure Discrete Solution Junction Depth Finite Element Scheme
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