A Two-Dimensional Self-Adaptive hp Finite Element Method for the Analysis of Open Region Problems in Electromagnetics

A two-dimensional self-adaptive hp finite element method (FEM) for the analysis of open region problems in electromagnetics is described. The method incorporates an iterative procedure for solving open region problems. More precisely, solution of the open problem is achieved by solving a low number...

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Bibliographic Details
Published in:IEEE transactions on magnetics 2007-04, Vol.43 (4), p.1337-1340
Main Authors: Gomez-Revuelto, I., Garcia-Castillo, L.E., Pardo, D., Demkowicz, L.F.
Format: Article
Language:English
Subjects:
Anisotropic magnetoresistance
Boundary conditions
Computational efficiency
Cross-disciplinary physics: materials science
rheology
Electromagnetic analysis
Electromagnetic scattering
Exact sciences and technology
Finite element method (FEM)
Finite element methods
hp -adaptivity
Ice
Interpolation
Iterative methods
Materials science
Other topics in materials science
Petroleum
Physics
radiation
scattering
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Summary:A two-dimensional self-adaptive hp finite element method (FEM) for the analysis of open region problems in electromagnetics is described. The method incorporates an iterative procedure for solving open region problems. More precisely, solution of the open problem is achieved by solving a low number of closed domain problems with the same matrix, so the computational cost for the second and subsequent problems is very small. Thus, the particularities due to the open nature of the problem are hidden and, among other advantages, self-adaptive strategies developed for conventional closed domains and, specifically, of hp type, can be used without modifications. The hp-FEM discretization is made in terms of quadrangles/triangles of variable order of approximation supporting anisotropy and hanging nodes. The adaptive strategy is fully automatic and is based on minimizing the interpolation error (by using the projection of the error from a fine grid) delivering exponential convergence rates for the energy error, even in the presence of singularities
ISSN:0018-9464
1941-0069
DOI:10.1109/TMAG.2007.892413