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Convergence rates for highorder finiteelement polynomials are discussed in the context of problems arising in cylindrical coordinate systems with azimuthal symmetry. It is shown that expected rates of convergence can only be obtained by the proper choice of interpolation function.
We present a qualitative analysis of the fundamental static semiconductor device equations which is based on singular perturbation theory. By appropriate scaling the semiconductor device equations are reformulated as singularly perturbed elliptic system the Laplacian in Poisson's equation is...
An explanation is given for the apparent accuracy of the most commonly used method for discretization of the stationary continuity equations in semiconductor device models. The accuracy of this method does not depend on relatively small changes in the electrostatic potential or the quasiFermi...
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