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Mirror Symmetry in Integral Formulations for Eddy Currents
IEEE Transactions on Magnetics
Cited by: Papers (1)
This contribution addresses the exploitation of mirror symmetry (formally, the abelian D1 and D2 dihedral symmetry groups) in various integral formulations for eddy current problems. The novelty of the contribution is in particular how to rigorously treat non-simply-connected conductors when computing the first cohomology group generators on the symmetry cell of the problem only.Show More
A Self-Adaptive Model-Order Reduction Algorithm for Nonlinear Eddy-Current Problems Based on Quadratic–Bilinear Modeling
Daniel Klis;Stefan Burgard;Ortwin Farle;Romanus Dyczij-Edlinger
IEEE Transactions on Magnetics
Cited by: Papers (9)
The finite-element time-domain simulation of nonlinear eddy-current problems requires the iterative solution of a large, sparse system of equations at every time-step. Model-order reduction is a powerful tool for reducing the computational effort for this task. In this paper, an adaptive order-reduction methodology with error control is proposed. In contrast to previous approaches, it treats the n...Show More
Model-Order Reduction for the Finite-Element Boundary-Element Simulation of Eddy-Current Problems Including Rigid Body Motion
IEEE Transactions on Magnetics
Cited by: Papers (3)
A coupled finite-element boundary-element method for solving parametric models of eddy-current problems is proposed. Affine approximation by the empirical interpolation method makes the numerical model accessible to projection-based parametric model-order reduction. The resulting low-dimensional system provides high evaluation speed at an accuracy comparable with that of the underlying discretizat...Show More
An Adaptive Deflation Domain-Decomposition Preconditioner for Fast Frequency Sweeps
Oliver Floch;Alexander Sommer;Daniel Klis;Ortwin Farle;Romanus Dyczij-Edlinger
IEEE Transactions on Magnetics
Cited by: Papers (2)
An adaptive multi-point model-order reduction is a well-established methodology for computing fast frequency sweeps of finite-element (FE) models. For structures that are electrically large, however, generating the reduced-order system is computationally expensive, because both the size of the FE model and the number of expansion points become large. Thus, a great number of independent large-scale...Show More
Application of nonlinear model-order reduction to 3D eddy current problems
2013 International Conference on Electromagnetics in Advanced Applications (ICEAA)
Year: 2013 | Conference Paper |
Finite-element time-domain simulations of nonlinear eddy current problems require many solutions of large, sparse systems of equations. Modelorder reduction in connection with some suitable approximation to the nonlinearity is a powerful strategy for reducing the computational effort for such systems. This paper shows that the support-vector regression algorithm is a promising choice for the appro...Show More
A port-hamiltonian finite-element formulation for the maxwell equations
2013 International Conference on Electromagnetics in Advanced Applications (ICEAA)
Year: 2013 | Conference Paper |
Cited by: Papers (8)
A new port-Hamiltonian formulation for Maxwell's equations is presented. In contrast to previous approaches for distributed-parameter systems, it is directly applicable to the finite-element method. For this purpose, the dual complex has been eliminated from the underlying Dirac structure. The discretization step preserves the port-Hamiltonian structure and important conservation laws.Show More
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