Date: Friday, September 20, 2019
Location: 1084 East Hall (3:00 PM to 4:00 PM)
Title: Construction of H^2(curl) conforming elements and their application
Abstract: In 1980 and 1986, Nedelec proposed H(curl)conforming elements to solve electromagnetic equations that contain the "curl" operator. It is more or less as the H^1conforming elements (or C^0 elements) for elliptic equations that contain the "grad" operator. As is well known in the finite element method literature, in order to solve 4thorder elliptic equations such as the biharmonic equation, H^2conforming elements (or C^1elements) were developed. Recently, there has 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 quadcurl equations as well as related eigenvalue problems.
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Speaker: Zhimin Zhang
Institution: Wayne State University
Event Organizer: Peter Miller millerpd@umich.edu
