Fast-integral-equation scheme for computing magnetostatic fields in nonlinear media

Balasubramanian, S.; Lalgudi, S.N.; Shanker, B.

doi:10.1109/tmag.2002.802736

Cited by 11 publications

(6 citation statements)

References 29 publications

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“…This matrix represents the (long-range interaction) integral kernel in a canonical (point-to-point) form. [19], edge elements [20], or Voronoi tessellation can be used instead of the scalar hat function with the need to only update the sparse matrices. Other types of integral kernels, e.g.…”

Section: Discretizationmentioning

confidence: 99%

FastMag: Fast micromagnetic simulator for complex magnetic structures (invited)

Chang¹,

Li²,

Lubarda³

et al. 2011

Journal of Applied Physics

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A fast micromagnetic simulator (FastMag) for general problems is presented. FastMag solves the Landau-Lifshitz-Gilbert equation and can handle problems of a small or very large size with a high speed. The simulator derives its high performance from efficient methods for evaluating the effective field and from implementations on massively parallel Graphics Processing Unit (GPU) architectures. FastMag discretizes the computational domain into tetrahedral elements and therefore is highly flexible for general problems. The magnetostatic field is computed via the superposition principle for both volume and surface parts of the computational domain. This is accomplished by implementing efficient quadrature rules and analytical integration for overlapping elements in which the integral kernel is singular. Thus discretized superposition integrals are computed using a non-uniform grid interpolation method, which evaluates the field from N sources at N collocated observers in () ON operations. This approach allows handling any uniform or non-uniform shapes, allows easily calculating the field outside the magnetized domains, does not require solving linear system of equations, and requires little memory. FastMag is implemented on GPUs with GPU-CPU speed-ups of two orders of magnitude. Simulations are shown of a large array and a recording head fully discretized down to the exchange length, with over a hundred million tetrahedral elements on an inexpensive desktop computer.

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Section: Discretizationmentioning

confidence: 99%

FastMag: Fast micromagnetic simulator for complex magnetic structures (invited)

Chang¹,

Li²,

Lubarda³

et al. 2011

Journal of Applied Physics

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show abstract

“…where δν j denotes difference of reluctivity either between two adjacent elements or between border element and air. In the matrix-vector form we write (19) as…”

Section: Integral Volume Formulationmentioning

confidence: 99%

“…For large problems, a fast algorithm such as the FMM, ACA (Adaptive Cross Approximation) [30] or HCA can be applied in order to save the memory and computation time. Information about the implementation of FMM and ACA for the magnetostatic VIM can be found in [19] [31] and [11] [32], respectively.…”

Section: B Team Workhop Problem 13mentioning

confidence: 99%

“…Some papers have also proposed the use of facet elements interpolation for magnetostatics [18] [19]. However, in [18] Vishnevsky et al (2002) suggested the interpolation of magnetization on facet elements.…”

Section: Introductionmentioning

confidence: 99%

“…This approach can be suitable for linear cases but should not be applied generically for nonlinear problems, because the normal component of the magnetization across facets could not be considered continuous, unlike one of the magnetic flux. In [19], although Balasubramanian et al (2002) used the B-facet interpolation, the solenoidality of magnetic induction is not strictly satisfied. And this should lead to an inaccuracy of the solution in some situations.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A Volume Integral Formulation Based on Facet Elements for Nonlinear Magnetostatic Problems

et al. 2015

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This paper presents a novel and useful 3D nonlinear magnetostatic integral formulation for volume integral method. Like every other integral formulation, its main advantage is that it does not require air region mesh, only ferromagnetic regions being discretized. The formulation is based on magnetic flux density interpolation on facet elements. Special care is taken in order to accurately compute the singularity of Green's kernel. The application of an equivalent circuit approach allows preserving the solenoidality of magnetic induction. It is shown that the formulation is very accurate even if it is associated with coarse meshes. Thus, computation time can be very competitive. Computed results for the TEAM Workshop problem 13 and for a multiply-connected regions case-test are reported.

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Integral Method for the Magnetostatic Field

Wang

2013

Practical Design of Magnetostatic Structure Using Numerical Simulation

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Fast-integral-equation scheme for computing magnetostatic fields in nonlinear media

Cited by 11 publications

References 29 publications

FastMag: Fast micromagnetic simulator for complex magnetic structures (invited)

FastMag: Fast micromagnetic simulator for complex magnetic structures (invited)

A Volume Integral Formulation Based on Facet Elements for Nonlinear Magnetostatic Problems

Integral Method for the Magnetostatic Field

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