Local error indicators for linearized drift-diffusion equations in H(div) x L2
Keywords:
a posteriori error estimation, mixed finite elements, linearized electron transport equationsAbstract
Within the framework of mixed Finite Element Methods, we analyze the numerical analysis of an error indicator. It relies on the residual of a linearized Drift-Diffusion model of the transport equation for electrons in semiconductor devices using Fermi-Dirac statistic. Infsup condition, upper and lower bounds are proved. The results are optimal for the natural norms of H( div) and L2.
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