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Geometric multigrid algorithms using the conformal finite integration technique

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3 Author(s)
Clemens, M. ; Inst. fur Theorie Elektromagnetischer Felder, Tech. Univ. Darmstadt, Germany ; Feigh, S. ; Weiland, T.

A geometric multigrid algorithm is proposed for the solution of electromagnetic field problems using the mesh independent boundary resolution capabilities of the conformal finite integration technique (CFIT), maintaining the separation of metric free incidence matrices and averaging material operators. With the construction of conservative grid-transfer operators, exact and approximate algebraic construction principles for the coarse grid material matrices are proposed based on the CFIT. A validation of the presented algorithmic approach and experimental results on the improved efficiency and the asymptotical complexity of the algorithm are achieved for an electrostatic test problem.

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Magnetics, IEEE Transactions on  (Volume:40 ,  Issue: 2 )