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Singularities of eddy current problems
 ESAIM: Mathematical Modelling and Numerical Analysis
"... We consider the timeharmonic eddy current problem in its electric formulation where the conductor is a polyhedral domain. By proving the convergence in energy, we justify in what sense this problem is the limit of a family of Maxwell transmission problems: Rather than a low frequency limit, this li ..."
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Cited by 11 (2 self)
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We consider the timeharmonic eddy current problem in its electric formulation where the conductor is a polyhedral domain. By proving the convergence in energy, we justify in what sense this problem is the limit of a family of Maxwell transmission problems: Rather than a low frequency limit
Model Reduction of Three Dimensional Eddy Current Problems
"... The model reduction based on the method of snapshots is applied to the finite element analysis of three dimensional transient eddy current problems. It is known that accuracy of the reduced model highly depends on the number of snapshots. In this paper, we introduce a novel method which determines t ..."
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The model reduction based on the method of snapshots is applied to the finite element analysis of three dimensional transient eddy current problems. It is known that accuracy of the reduced model highly depends on the number of snapshots. In this paper, we introduce a novel method which determines
Homogenization of the Eddy Current Problem in 2D
"... Abstractâ€”Homogenization represents a promising method to simulate eddy current losses in laminated iron cores efficiently. First, multiscale homogenization is demonstrated by a multiscale approach in the context of an electrostatic problem. Then, multiscale homogenization is extended to the eddy ..."
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Abstractâ€”Homogenization represents a promising method to simulate eddy current losses in laminated iron cores efficiently. First, multiscale homogenization is demonstrated by a multiscale approach in the context of an electrostatic problem. Then, multiscale homogenization is extended to the eddy
Symmetric Coupling For Eddy Current Problems
 SIAM J. Numer. Anal
, 2000
"... In this paper a novel symmetric FEMBEMcoupling for the Ebased eddy current model is derived in a rigorous fashion. To that end the properties of potentials and boundary integral operators arising from a StrattonChutype representation formula for the electric field in the nonconducting region ar ..."
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Cited by 20 (2 self)
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In this paper a novel symmetric FEMBEMcoupling for the Ebased eddy current model is derived in a rigorous fashion. To that end the properties of potentials and boundary integral operators arising from a StrattonChutype representation formula for the electric field in the nonconducting region
FOSLL * METHOD FOR THE EDDY CURRENT PROBLEM WITH
"... Abstract. In the case that the domain has reentrant edges, the standard finite element method loses its global accuracy because of singularities on the boundary. To overcome this difficulty, FOSLL* is applied in this paper. FOSLL * is a methodology for solving PDEs using the dual operator. Here, a m ..."
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Abstract. In the case that the domain has reentrant edges, the standard finite element method loses its global accuracy because of singularities on the boundary. To overcome this difficulty, FOSLL* is applied in this paper. FOSLL * is a methodology for solving PDEs using the dual operator. Here, a modified FOSLL * method is developed that employs a partially weighted functional and allows the use of a standard finite element scheme without losing global accuracy.
Mixed Finite Element Approximation of Eddy Current Problems
, 2003
"... Finite element approximations of eddy current problems that are entirely based on the magnetic field H are haunted by the need to enforce the algebraic constraint curl H = 0 in nonconducting regions. As an alternative to techniques employing combinatorial Seifert (cutting) surfaces in order to intr ..."
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Cited by 8 (0 self)
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Finite element approximations of eddy current problems that are entirely based on the magnetic field H are haunted by the need to enforce the algebraic constraint curl H = 0 in nonconducting regions. As an alternative to techniques employing combinatorial Seifert (cutting) surfaces in order
An Ebased mixed formulation for A TIMEDEPENDENT EDDY CURRENT PROBLEM
"... In this paper, we analyze a mixed form of a timedependent eddy current problem formulated in terms of the electric field ..."
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Cited by 6 (1 self)
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In this paper, we analyze a mixed form of a timedependent eddy current problem formulated in terms of the electric field
An eddy current problem related to electromagnetic forming
"... Electromagnetic forming (EMF) is a high velocity cold forming process for electrically conductive metals. The aim of this paper is to analyze a numerical method to solve a transient axisymmetric eddy current problem arising from mathematical modelling of this process. We deal with a degenerate para ..."
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Electromagnetic forming (EMF) is a high velocity cold forming process for electrically conductive metals. The aim of this paper is to analyze a numerical method to solve a transient axisymmetric eddy current problem arising from mathematical modelling of this process. We deal with a degenerate
Numerical analysis of nonlinear multiharmonic eddy current problems
 Numer. Math
"... This work provides a complete analysis of eddy current problems, ranging from a proof of unique solvability to the analysis of a multiharmonic discretization technique. For proving existence and uniqueness, we use a Schur complement approach in order to combine the structurally different results f ..."
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Cited by 25 (16 self)
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This work provides a complete analysis of eddy current problems, ranging from a proof of unique solvability to the analysis of a multiharmonic discretization technique. For proving existence and uniqueness, we use a Schur complement approach in order to combine the structurally different results
Results 1  10
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59,042