Hodge decomposition to solve singular static Maxwell's equations in a non-convex polygon

DOI10.1016/j.apnum.2009.09.004zbMath1192.78043OpenAlexW2156647867MaRDI QIDQ972310

Franck Assous, Michael Michaeli

Publication date: 25 May 2010

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2009.09.004

zbMATH Keywords

Maxwell equationsHodge decompositionNitsche methodgeometrical singularities

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Variational methods applied to problems in optics and electromagnetic theory (78M30)

Related Items

Hodge decomposition methods for a quad-curl problem on planar domains, Mathematical and numerical analysis of the time-dependent Ginzburg–Landau equations in nonconvex polygons based on Hodge decomposition, Hodge decomposition for divergence-free vector fields and two-dimensional Maxwell’s equations, Solving Maxwell's equations in singular domains with a Nitsche type method, A finite element method for Maxwell polynomial chaos Debye model, A Finite Element Method for a Curlcurl-Graddiv Eigenvalue Interface Problem

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