A study of three-dimensional edge and corner problems using the neBEM solver

Mukhopadhyay, Supratik; Majumdar, N.

doi:10.1016/j.enganabound.2008.06.003

Cited by 33 publications

(29 citation statements)

References 44 publications

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“…While we offer no strict proof, the numerical evidence in Sections 10 and 11 suggests that (43) holds when S is a square in two dimensions or a cube in three, and hence that (44) holds.…”

Section: Properties Of the Polarizability α(Z) And The Measure µmentioning

confidence: 74%

On the polarizability and capacitance of the cube

Helsing

Perfekt

2013

Applied and Computational Harmonic Analysis

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An efficient integral equation based solver is constructed for the electrostatic problem on domains with cuboidal inclusions. It can be used to compute the polarizability of a dielectric cube in a dielectric background medium at virtually every permittivity ratio for which it exists. For example, polarizabilities accurate to between five and ten digits are obtained (as complex limits) for negative permittivity ratios in minutes on a standard workstation. In passing, the capacitance of the unit cube is determined with unprecedented accuracy. With full rigor, we develop a natural mathematical framework suited for the study of the polarizability of Lipschitz domains. Several aspects of polarizabilities and their representing measures are clarified, including limiting behavior both when approaching the support of the measure and when deforming smooth domains into a non-smooth domain. The success of the mathematical theory is achieved through symmetrization arguments for layer potentials.

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“…While we offer no strict proof, the numerical evidence in Sections 10 and 11 suggests that (43) holds when S is a square in two dimensions or a cube in three, and hence that (44) holds.…”

Section: Properties Of the Polarizability α(Z) And The Measure µmentioning

confidence: 74%

On the polarizability and capacitance of the cube

Helsing

Perfekt

2013

Applied and Computational Harmonic Analysis

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“…Many nice simulations concerning MRPCs physics indeed exist [29,30], but a number of parameters should be tuned in order to produce realistic results.…”

Section: Simulationmentioning

confidence: 99%

Multigap RPC time resolution to 511 keV annihilation photons

Belli

Gabusi

Musitelli

et al. 2015

Nuclear Instruments and Methods in Physics Research Section A:

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a b s t r a c tThe time resolution of Multigap Resistive Plate Chambers (MRPCs) to 511 keV gamma rays has been investigated using a 22 Na source and four detectors. The MRPCs time resolution has been derived from the Time-of-Flight information, measured from pairs of space correlated triggered events. A GEANT4 simulation has been performed to analyze possible setup contributions and to support experimental results. A time resolution (FWHM) of 312 ps and 376 ps has been measured for a single MRPC with four 250 μm gas gaps by considering respectively one and two independent pairs of detectors.These values, endorsed by the GEANT4 simulation, represent a good result compared to those reported in the literature.

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“…With the continuous elements, the interelement continuity of field variables can be obtained. But it could be difficult for the continuous elements to deal with some situations for instance the corner problems [14][15][16]. In addition, the standard continuous elements cannot meet requirements of differentiability and continuity at the source point in the hypersingular boundary integral equation [17][18].…”

Section: Introductionmentioning

confidence: 99%

A new implementation of BEM by an expanding element interpolation method

Zhang

Han

Lin

et al. 2017

Engineering Analysis with Boundary Elements

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A new implementation of boundary element method (BEM) by an expanding element interpolation method is presented in this paper. The expanding element is achieved by collocating virtual nodes along the perimeter of the traditional discontinuous element. With the virtual nodes, both continuous and discontinuous fields on the domain boundary can be accurately approximated, and the interpolation accuracy increases by two orders compared with the original discontinuous element. The boundary integral equations are built up for the inner nodes of the traditional discontinuous elements, only (taking these nodes as source points), while the virtual nodes are used for connecting the shape functions at the source points, thus the size of the final system of linear equations will not increase. The expanding element inherits the advantages of both the continuous and discontinuous elements while overcomes their disadvantages. Successful numerical examples with different boundary conditions have demonstrated that our new implementation is very encouraging and promising.

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A study of three-dimensional edge and corner problems using the neBEM solver

Cited by 33 publications

References 44 publications

On the polarizability and capacitance of the cube

On the polarizability and capacitance of the cube

Multigap RPC time resolution to 511 keV annihilation photons

A new implementation of BEM by an expanding element interpolation method

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