Finite Element Approximation of the Spectrum of the Curl Operator in a Multiply Connected Domain
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DOI: 10.1007/s10208-018-9373-4
Abstract: In this paper we are concerned with two topics: the formulation and analysis of the eigenvalue problem for the $$\mathop {\mathbf {curl}}\nolimits $$curl operator in a multiply connected domain and its numerical approximation by means… read more here.
Keywords: connected domain; operator multiply; multiply connected; curl operator ... See more keywords
Minimizing the Lp norm of the curl of vector fields in a multi-connected domain
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DOI: 10.1142/s0129167x17500045
Abstract: We study the problem of minimizing the Lp norm of the curl of vector fields in a three-dimensional, bounded multi-connected domain with a prescribed tangential component on the boundary. We then prove the existence of… read more here.
Keywords: curl vector; connected domain; norm curl; multi connected ... See more keywords