Comparison between different approaches for fast and efficient 3-D BEM computations

Buchau, A.; Rucker, W.M.; Rain, Oliver; Rischmuller, V.; Kurz, Stefan; Rjasanow, Sergej

doi:10.1109/tmag.2003.810167

Cited by 36 publications

(21 citation statements)

References 5 publications

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“…As pointed out before, the number of applications of the translation operators (28) growths and consequently the computational time increases by 22.6%. In the opposite direction, the inner-inner transformation (30) and the recovery of the solution by (23) has to be performed for the original and the mirrored clusters and therefore takes approximately twice as much time. Focusing on the total computational time for a single cycle, the increase is only 19.5%.…”

Section: Remarkmentioning

confidence: 99%

A fast BE‐FE coupling scheme for partly immersed bodies

Brunner

Junge

Steinbach

et al. 2009

Numerical Meth Engineering

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SUMMARYFluid-structure coupled problems are investigated to predict the vibro-acoustic behavior of submerged bodies. The finite element method is applied for the structural part, whereas the boundary element method is used for the fluid domain. The focus of this paper is on partly immersed bodies. The fluid problem is favorably modeled by a half-space formulation. This way, the Dirichlet boundary condition on the free fluid surface is incorporated by a half-space fundamental solution. A fast multipole implementation is presented for the half-space problem. In case of a high density of the fluid, the forces due to the acoustic pressure, which act on the structure, cannot be neglected. Thus, a strong coupling scheme is applied. An iterative solver is used to handle the coupled system. The efficiency of the proposed approach is discussed using a realistic model problem

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Section: Remarkmentioning

confidence: 99%

A fast BE‐FE coupling scheme for partly immersed bodies

Brunner

Junge

Steinbach

et al. 2009

Numerical Meth Engineering

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“…Many different algorithms for solving the problem exist, e.g. [12,5,6,18,3,15,4,16,1,11]. Direct solutions compute all pair-wise interactions and hence they scale with O N 2 operations, where N denotes the number of interaction partners.…”

Section: Introductionmentioning

confidence: 99%

Highly parallel demagnetization field calculation using the fast multipole method on tetrahedral meshes with continuous sources

Palmesi

Exl

Bruckner

et al. 2017

Journal of Magnetism and Magnetic Materials

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The long-range magnetic field is the most time-consuming part in micromagnetic simulations. Improvements both on a numerical and computational basis can relief problems related to this bottleneck. This work presents an efficient implementation of the Fast Multipole Method [FMM] for the magnetic scalar potential as used in micromagnetics. We assume linearly magnetized tetrahedral sources, treat the near field directly and use analytical integration on the multipole expansion in the far field. This approach tackles important issues like the vectorial and continuous nature of the magnetic field. By using FMM the calculations scale linearly in time and memory.

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“…Here, a novel approach is presented, which directly combines fast BEM [7] and visualization. The aim is to provide a method that enables field line computations of problems with complex-shaped surfaces.…”

Section: Introductionmentioning

confidence: 99%

Meshfree Computation of Field Lines Across Multiple Domains Using Fast Boundary Element Methods

Buchau

Rucker

2015

IEEE Trans. Magn.

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A meshfree postprocessing for the computation of field lines suggests itself in the case of fast boundary element methods. Field values are only calculated and stored in points, which are absolutely necessary for field line computations. Hence, the total amount of processed data is dramatically reduced in comparison to a mesh-based approach along with precomputed field values in all mesh nodes. An automatic and robust domain detection method enables reliable identifications of intersections of field lines with domain boundaries even in the case of complex-shaped surfaces. A combination of automatic domain detection and adaptive step size control of the underlying Runge-Kutta-Fehlberg method results in correctly and efficiently computed field lines, including sharp bends at domain boundaries.Index Terms-Boundary element methods (BEMs), field line computation, meshfree postprocessing, multiple domains.

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Comparison between different approaches for fast and efficient 3-D BEM computations

Cited by 36 publications

References 5 publications

A fast BE‐FE coupling scheme for partly immersed bodies

A fast BE‐FE coupling scheme for partly immersed bodies

Highly parallel demagnetization field calculation using the fast multipole method on tetrahedral meshes with continuous sources

Meshfree Computation of Field Lines Across Multiple Domains Using Fast Boundary Element Methods

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