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A new exponentially fitted triangular finite element method for the continuity equations in the drift-diffusion model of semiconductor devices

A new exponentially fitted triangular finite element method for the continuity equations in the drift-diffusion model of semiconductor devices

In this paper we present a novel exponentially fitted finite element method with triangular elements for the decoupled continuity equations in the drift-diffusion model of semiconductor devices. The continuous problem is first formulated as a variational problem using a weighted inner product. A Bubnov-Galerkin finite element method with a set …