Exponentially fitted shape functions for advection-dominated flow problems in two dimensions |
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| Authors: | Riccardo Sacco |
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| Affiliation: | Dipartimento di Matematica, Politecnico di Milano, Via Bonardi 9, 20133, Milan, Italy |
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| Abstract: | ![]()
We sketch out the basic properties of three novel exponentially fitted shape functions that generalize to two-dimensional triangular elements the one-dimensional functions used in the well-known Scharfetter-Gummel method. This scheme is widely employed in the finite element approximation of the drift-diffusion equations arising in semiconductor device modelling. |
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| Keywords: | Exponential fitting approximation Advection-diffusion equations Semiconductor device modelling |
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