Hodge decomposition finite element method for the 3D quad-curl problem
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Speaker: Casey Cavanaugh, Department of Mathematics, Louisiana State University
Title: Hodge decomposition finite element method for the 3D quad-curl problem
Abstract: In this talk, we present a finite element method for the quad-curl equation in three dimensions. Using the Hodge decomposition for divergence-free fields, the fourth-order problem is reformulated as three standard second-order saddle point systems. Furthermore, the Hodge decomposition approach allows for the finite element method to handle domains with general topology. Analysis and numerical results are presented using a variety of domains with different topological properties