CONTINUOUS INTERIOR PENALTY hp-FINITE ELEMENT METHODS FOR TRANSPORT OPERATORS
نویسنده
چکیده
A continuous interior penalty hp-finite element method that penalizes the jump of the discrete solution across mesh interfaces is introduced. Error estimates are obtained for first-order and advection-dominated transport operators. The analysis relies on three technical results that are of independent interest: an hp-inverse trace inequality, a local discontinuous to continuous hp-interpolation result, and hp-error estimates for continuous L2-orthogonal projections.
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تاریخ انتشار 2005