Non-linear magnetostatic adaption using a "local field error" approach

Girdinio, P.; Molfino, P.; Nervi, M.; Manella, A.

doi:10.1109/20.497500

Cited by 2 publications

(1 citation statement)

References 11 publications

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“…The same idea of estimating the error by solving a differential problem in each element is exploited also in [26,27]. In this case, however, the element is subdivided and Whitney forms are used.…”

Section: Introductionmentioning

confidence: 99%

Adaptive finite element analysis of 2-D static and steady-state electromagnetic problems

Fernandes

Girdinio

1999

Int. J. Numer. Meth. Engng.

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SUMMARYThe adaptive finite element methods developed by the authors for a class of 2-D problems in computational electromagnetics are presented. The cases covered are: magnetostatic, electrostatic, DC conduction and linear AC steady-state eddy currents, both plane and axialsymmetric. Theory is developed in the linear case only, but the resulting methods are applied on a heuristic basis also to non-linear cases and prove able to cope with them. These methods make use of an element-by-element error estimation and two different h-refinement techniques to adapt meshes made up of first or second-order triangular elements. Element-byelement error estimation has two main advantages: it is well suited to cope with the intricate geometries of electromagnetic devices and, at the same time, very cheap from a computational viewpoint. The local error is estimated by approximately solving a differential problem in each element. Theory on which this error estimation method is grounded is developed in full details and the underlying assumptions are pointed out. The presence in electromagnetic problems of surface currents and interfaces between different materials poses new problems in the error estimation with respect to other applications in which similar methods are used. The h-refinement technique can be selected between the bisection method and the centroid method followed by a Delaunay step. Accuracy and efficiency of the proposed method is discussed on the basis of previous work of the authors and further numerical experiments. Applications to realistic models showing good performances of the proposed methods are reported.

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Section: Introductionmentioning

confidence: 99%

Adaptive finite element analysis of 2-D static and steady-state electromagnetic problems

Fernandes

Girdinio

1999

Int. J. Numer. Meth. Engng.

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Mesh adaptation in finite element analysis of 2D steady state time harmonic eddy current problems

et al. 1996

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A local error estimation and adaptive meshing method developed by the authors for finite element analysis of 2D electrostatic and magnetostatic problems is now extended to 2D steady state time harmonic quasistatic eddy current problems. Local error estimation is based on the approximate solution of an independent differential problem in each triangular element. Mesh refinement is carried out by adding nodes in the centroids of selected elements and then applying the Delaunay algorith

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Non-linear magnetostatic adaption using a "local field error" approach

Cited by 2 publications

References 11 publications

Adaptive finite element analysis of 2-D static and steady-state electromagnetic problems

Adaptive finite element analysis of 2-D static and steady-state electromagnetic problems

Mesh adaptation in finite element analysis of 2D steady state time harmonic eddy current problems

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