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Ronald H W Hoppe - One of the best experts on this subject based on the ideXlab platform.

  • uniform convergence of local multigrid methods for the time harmonic Maxwell Equation
    Mathematical Modelling and Numerical Analysis, 2013
    Co-Authors: Huangxin Chen, Ronald H W Hoppe
    Abstract:

    For the efficient numerical solution of indefinite linear systems arising from curl conforming edge element approximations of the time-harmonic Maxwell Equation, we consider local multigrid methods (LMM) on adaptively refined meshes. The edge element discretization is done by the lowest order edge elements of Nedelec’s first family. The LMM features local hybrid Hiptmair smoothers of Jacobi and Gauss–Seidel type which are performed only on basis functions associated with newly created edges/nodal points or those edges/nodal points where the support of the corresponding basis function has changed during the refinement process. The adaptive mesh refinement is based on Dorfler marking for residual-type a posteriori error estimators and the newest vertex bisection strategy. Using the abstract Schwarz theory of multilevel iterative schemes, quasi-optimal convergence of the LMM is shown, i.e. , the convergence rates are independent of mesh sizes and mesh levels provided the coarsest mesh is chosen sufficiently fine. The theoretical findings are illustrated by the results of some numerical examples.

Justin B Judkins - One of the best experts on this subject based on the ideXlab platform.

  • full wave vector Maxwell Equation modeling of the self focusing of ultrashort optical pulses in a nonlinear kerr medium exhibiting a finite response time
    Journal of The Optical Society of America B-optical Physics, 1993
    Co-Authors: Richard W Ziolkowski, Justin B Judkins
    Abstract:

    The extension of the conventional finite-difference time-domain solution of the full vector Maxwell Equations to modeling femtosecond optical-pulse propagation in a nonlinear Kerr medium that exhibits a finite response time is presented. Numerical results are given for nonlinear self-focusing in two space dimensions and time; the technique can be generalized to three space dimensions with adequate computer resources. Comparisons with previously reported and anticipated results are made. Several novel phenomena that are not observed with scalar models of self-focusing and that can be attributed only to the complete solution of the vector Maxwell Equations are discussed.

Ali Jabbari - One of the best experts on this subject based on the ideXlab platform.

  • Analytical Modelling of Magnetic Field Distribution in Spoke Type Permanent Magnet Machines
    Journal of Iranian Association of Electrical and Electronics Engineers, 2020
    Co-Authors: Ali Jabbari, Frédéric Dubas
    Abstract:

    An exact 2D analytical method for magnetic field and electromagnetic torque calculation in high speed spoke type interior permanent magnet Machines considering slotting effects, magnetization orientation and winding layout has been proposed in this paper. The analytical method is based on the resolution of Laplace and Poisson Equations as well as Maxwell Equation in polar coordinate by using sub-domain method and applying hyperbolic functions. The proposed method is applied on the performance computation of a prototype spoke type permanent magnet machine, i.e., a 3-phase 18S-8P motor. The analytical results are validated through FEA method and experimental tests.                     

  • Analytical Modeling of Magnetic Field Distribution in Multiphase H-Type Stator Core Permanent Magnet Flux Switching Machines
    Iranian Journal of Science and Technology Transactions of Electrical Engineering, 2018
    Co-Authors: Amin Jabbari, Ali Jabbari
    Abstract:

    An exact analytical method for magnetic field and electromagnetic torque calculation in H-type stator core permanent magnet flux switching machines (HC PM FSM) considering slotting effects, magnetization orientation and winding layout has been proposed in this paper. The analytical method uses a sub-domain approach and is based on the resolution of Laplace and Poisson Equations and Maxwell Equation in polar coordinate. The proposed method is applied on the performance computation of two prototypes HC PM FSMs, i.e., a one-phase 12S-15P and a three-phase 24S-10P motor. The results of these models in open-circuit and full-load conditions are validated by FEM method.

Frédéric Dubas - One of the best experts on this subject based on the ideXlab platform.

  • Analytical Modelling of Magnetic Field Distribution in Spoke Type Permanent Magnet Machines
    Journal of Iranian Association of Electrical and Electronics Engineers, 2020
    Co-Authors: Ali Jabbari, Frédéric Dubas
    Abstract:

    An exact 2D analytical method for magnetic field and electromagnetic torque calculation in high speed spoke type interior permanent magnet Machines considering slotting effects, magnetization orientation and winding layout has been proposed in this paper. The analytical method is based on the resolution of Laplace and Poisson Equations as well as Maxwell Equation in polar coordinate by using sub-domain method and applying hyperbolic functions. The proposed method is applied on the performance computation of a prototype spoke type permanent magnet machine, i.e., a 3-phase 18S-8P motor. The analytical results are validated through FEA method and experimental tests.                     

Dubas Frédéric - One of the best experts on this subject based on the ideXlab platform.

  • Analytical Modelling of Magnetic Field Distribution in Spoke Type Permanent Magnet Machines
    HAL CCSD, 2020
    Co-Authors: Jabbari Ali, Dubas Frédéric
    Abstract:

    International audienceAn exact 2D analytical method for magnetic field and electromagnetic torque calculation in high speed spoke type interior permanent magnet Machines considering slotting effects, magnetization orientation and winding layout has been proposed in this paper. The analytical method is based on the resolution of Laplace and Poisson Equations as well as Maxwell Equation in polar coordinate by using sub-domain method and applying hyperbolic functions. The proposed method is applied on the performance computation of a prototype spoke type permanent magnet machine, i.e., a 3-phase 18S-8P motor. The analytical results are validated through FEA method and experimental tests.