# A Slideing Mesh-Mortar Method for a two Dimensional Currents Model of Electric Engines

Annalisa Buffa; Yvon Maday; Francesca Rapetti

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- Volume: 35, Issue: 2, page 191-228
- ISSN: 0764-583X

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topBuffa, Annalisa, Maday, Yvon, and Rapetti, Francesca. "A Slideing Mesh-Mortar Method for a two Dimensional Currents Model of Electric Engines." ESAIM: Mathematical Modelling and Numerical Analysis 35.2 (2010): 191-228. <http://eudml.org/doc/197466>.

@article{Buffa2010,

abstract = {
The paper deals with the application of a non-conforming domain
decomposition method
to the problem of the computation of induced currents in electric engines
with moving conductors.
The eddy currents model is considered as a quasi-static
approximation of Maxwell
equations and we study its two-dimensional formulation with either the
modified magnetic vector potential or the magnetic field as primary variable.
Two discretizations are proposed, the first one based on curved finite
elements
and the second one based on iso-parametric finite elements in both the
static and moving
parts. The coupling is obtained by means of the mortar element method
(see [CITE])
and the approximation on the whole domain turns out to be non-conforming.
In both
cases optimal error estimates are provided.
Numerical tests are then proposed in the case of standard first order finite
elements to test the reliability and precision of the method. An application
of the method to study the influence of the free part movement on the
currents distribution is also provided.
},

author = {Buffa, Annalisa, Maday, Yvon, Rapetti, Francesca},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Eddy currents problem;
non-conforming finite element approximation; domain decomposition methods.; eddy currents problem; nonconforming finite element approximation; domain decomposition methods; approximation of Maxwell equations; curved finite elements; mortar element method; error estimates},

language = {eng},

month = {3},

number = {2},

pages = {191-228},

publisher = {EDP Sciences},

title = {A Slideing Mesh-Mortar Method for a two Dimensional Currents Model of Electric Engines},

url = {http://eudml.org/doc/197466},

volume = {35},

year = {2010},

}

TY - JOUR

AU - Buffa, Annalisa

AU - Maday, Yvon

AU - Rapetti, Francesca

TI - A Slideing Mesh-Mortar Method for a two Dimensional Currents Model of Electric Engines

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2010/3//

PB - EDP Sciences

VL - 35

IS - 2

SP - 191

EP - 228

AB -
The paper deals with the application of a non-conforming domain
decomposition method
to the problem of the computation of induced currents in electric engines
with moving conductors.
The eddy currents model is considered as a quasi-static
approximation of Maxwell
equations and we study its two-dimensional formulation with either the
modified magnetic vector potential or the magnetic field as primary variable.
Two discretizations are proposed, the first one based on curved finite
elements
and the second one based on iso-parametric finite elements in both the
static and moving
parts. The coupling is obtained by means of the mortar element method
(see [CITE])
and the approximation on the whole domain turns out to be non-conforming.
In both
cases optimal error estimates are provided.
Numerical tests are then proposed in the case of standard first order finite
elements to test the reliability and precision of the method. An application
of the method to study the influence of the free part movement on the
currents distribution is also provided.

LA - eng

KW - Eddy currents problem;
non-conforming finite element approximation; domain decomposition methods.; eddy currents problem; nonconforming finite element approximation; domain decomposition methods; approximation of Maxwell equations; curved finite elements; mortar element method; error estimates

UR - http://eudml.org/doc/197466

ER -

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