An Application of Petersen’s Theorem To Finite Element Triangulations
نویسنده
چکیده
This letter shows that for every finite element triangulation in R, there exists a coloring where each triangle has exactly one red and two black edges. This result is shown using Petersen’s Theorem which states that all bridgeless 3-regular graphs have a perfect matching. The existence of such a coloring has useful applications when the finite element method is applied to problems with solutions in the Hdiv vector space.
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تاریخ انتشار 2015