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The Boundary Element Method in Acoustics: A Survey
Applied Sciences, 2019 The boundary element method (BEM) in the context of acoustics or Helmholtz problems is reviewed in this paper. The basis of the BEM is initially developed for Laplace’s equation. The boundary integral equation formulations for the standard interior
Stephen Kirkup
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Frontiers in Biomedical Technologies, 2023 Purpose: The Boundary Element (BE) and Finite Element (FE) methods are widely used numerical techniques to solve the Electroencephalography (EEG) forward problem.
Nasireh Dayarian, Ali Khadem
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Non-Singular Burton–Miller Boundary Element Method for Acoustics
Fluids, 2023 The problem of non-unique solutions at fictitious frequencies that can appear in the boundary element method for external acoustic phenomena described by the Helmholtz equation is studied.
Qiang Sun, Evert Klaseboer
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The Boundary Element Method Versus The Finite Element Method For Solving Two-Dimensional Continuum Problems [PDF]
Engineering and Technology Journal, 2007 Stress analysis problems in geomechanics are ideally suited to the method of boundaryelements, as this technique usually requires a very small number of nodes bycomparison to finite elements.
Omar al–Damluji, Mohammed Fattah
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IEEE Access, 2020 We implement a three-dimensional formulation for eddy current problems based on the reduced magnetic scalar potential enforcing a high order surface impedance boundary condition (SIBC) which takes into account the curvatures of the conductor surface ...
Jinlong Dong, Luca Di Rienzo
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Mathematics, 2022 A localized virtual boundary element–meshless collocation method (LVBE-MCM) is proposed to solve Laplace and Helmholtz equations in complex two-dimensional (2D) geometries.
Xingxing Yue +3 more
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Journal of Low Frequency Noise, Vibration and Active Control, 2022 When the structure is forced to vibrate and multiple modes exist simultaneously, each vibration mode contributes to the total acoustic power radiated by the structure.
Lai Wei, Sheng Li
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A FEM-Green Approach for Magnetic Field Problems with Open Boundaries
Mathematics, 2021 A new finite element method/boundary element method (FEM/BEM) scheme is proposed for the solution of the 2D magnetic static and quasi-static problems with unbounded domains. The novelty is an original approach in the treatment of the outer region.
Jacques Lobry
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Adhesive Boundary Element Method Using Virtual Crack Closure Technique
Frontiers in Mechanical Engineering, 2021 In this study, a new adhesive contact model is built upon a boundary element method (BEM) model developed by Pohrt and Popov (2015). The strain energy release rate (SERR) on the edge of the bonding interface is evaluated using Virtual Crack Closure ...
Yang Xu, Rongxin Zhou
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Hybrid finite difference/finite element immersed boundary method [PDF]
, 2017 The immersed boundary method is an approach to fluid-structure interaction that uses a Lagrangian description of the structural deformations, stresses, and forces along with an Eulerian description of the momentum, viscosity, and incompressibility of ...
Griffith, Boyce E., Luo, Xiaoyu
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