Colloquium / Seminars
Topic:FLUX RECOVERY AND SUPERCONVERGENCE OF QUADRATIC IMMERSED INTERFACE FINITE ELEMENTS
Speaker: Prof. So-Hsiang Chou
( Department of Mathematics and StatisticsDate time:June 15, 2016 13:30 - 14:30
Venue:SA223
Abstract:
Abstract. We introduce a flux recovery scheme for the computed solution of a quadratic immersed finite element method. In the case of piecewise constant diffusion coefficient, we show that the end nodes are superconvergence points for both the primary variable p and its flux u. Furthermore, in the case of piecewise constant diffusion coefficient without the absorption term the errors at end nodes and interface point in the approximation of u and p are zero. In the general case, flux error at end nodes and interface point is third order.  Download:poster.pdf
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