Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Prof. Zhimin Zhang，Beijing Computational Science Research Center and Wayne State University
Construction of H^2(curl) conforming elements and their application
Time & Venue:
2019.5.9 16:00-17:00 N204
In 1980 and 1986, Nedelec proposed $H(curl)$-conforming elements to solve electromagnetic equations that contains the "curl" operator. It is more or less as the $H^1$-conforming elements (or $C^0$ elements) for elliptic equations that contains the "grad" operator. As is well known in the finite element method literature, in order to solve 4th-order elliptic equations such as the bi-harmonic equation, $H^2$-conforming elements (or $C^1$-elements) were developed. Recently, there have been some research in solving electromagnetic equations which involve four "curl" operators. Hence, construction of $H(curl curl)$-conforming elements becomes necessary. In this work, we construct $H(curl curl)$-conforming elements for rectangular and triangular meshes and apply them to solve quad-curl equations as well as related eigenvalue problems.
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