Colloquium, Department of Mathematics and Statistics
Colloquium, Department of Mathematics and Statistics
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Duan Chen

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Wed, Feb 19 at 11:00am in the conference room

February 10, 2014 by Michael Grabchak
Categories: Spring 2022
Dr.  JaEun Ku, Oklahoma State University
Title:  Solver-friendly hybrid mixed finite element methods
Abstract:

A new hybrid mixed finite element method to compute the flux variable
accurately and efficiently will be introduced.  The method is a two–step method, based on a system of first-order equations for second-order elliptic partial differential equations.  On a coarse mesh, the primary variable is approximated by a standard Galerkin method. Then, on a fine mesh, an H(div) projection is sought as an accurate approximation for the flux variable. The computation on a finer mesh can be carried out very efficiently using well developed preconditioners for the H(div) projection.  Also, it will be shown that the mesh size h for the finer mesh can be taken as a square of the coarse meshsize H.  This is a joint work with Dr. Young Ju Lee and Dr. Dongwoo Sheen.

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