On the application of the fast multipole method to the optimization of the boundary element method for the Helmholtz equation

Sibirskii zhurnal industrial'noi matematiki ◽

10.33048/sibjim.2021.24.307 ◽

2021 ◽

Vol 24 (3) ◽

pp. 83-100

Author(s):

S. A. Sivak ◽

M. E. Royak ◽

I. M. Stupakov

Keyword(s):

Boundary Element Method ◽

Helmholtz Equation ◽

Boundary Element ◽

Fast Multipole Method ◽

Fast Multipole ◽

Multipole Method ◽

Download Full-text

Application of the inverse fast multipole method as a preconditioner in a 3D Helmholtz boundary element method

Journal of Computational Physics ◽

10.1016/j.jcp.2017.04.016 ◽

2017 ◽

Vol 341 ◽

pp. 406-428 ◽

Author(s):

Toru Takahashi ◽

Pieter Coulier ◽

Eric Darve

Keyword(s):

Boundary Element Method ◽

Boundary Element ◽

Fast Multipole Method ◽

Fast Multipole ◽

Multipole Method ◽

Download Full-text

A fast multipole method accelerated adaptive background cell-based domain integration method for evaluation of domain integrals in 3D boundary element method

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2016.03.002 ◽

2016 ◽

Vol 67 ◽

pp. 1-12 ◽

Author(s):

Wei Zhou ◽

Qiao Wang ◽

Yonggang Cheng ◽

Gang Ma

Keyword(s):

Boundary Element Method ◽

Boundary Element ◽

Integration Method ◽

Fast Multipole Method ◽

Fast Multipole ◽

Multipole Method ◽

Domain Integration ◽

Download Full-text

Parallelization of the inverse fast multipole method with an application to boundary element method

Computer Physics Communications ◽

10.1016/j.cpc.2019.106975 ◽

2020 ◽

Vol 247 ◽

pp. 106975

Author(s):

Toru Takahashi ◽

Chao Chen ◽

Eric Darve

Keyword(s):

Boundary Element Method ◽

Boundary Element ◽

Fast Multipole Method ◽

Fast Multipole ◽

Multipole Method ◽

Download Full-text

Fast multipole method applied to Symmetric Galerkin boundary element method for 3D elasticity and fracture problems

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2012.07.004 ◽

2012 ◽

Vol 36 (12) ◽

pp. 1838-1847 ◽

Author(s):

Anh Duc Pham ◽

Saida Mouhoubi ◽

Marc Bonnet ◽

Cyrille Chazallon

Keyword(s):

Boundary Element Method ◽

Boundary Element ◽

Fast Multipole Method ◽

Fast Multipole ◽

Multipole Method ◽

3D Elasticity ◽

Galerkin Boundary Element Method ◽

Download Full-text

The improvement of computational efficiency of three-dimensional sound field analysis by boundary element method using two-level fast multipole method

Electronics and Communications in Japan (Part III Fundamental Electronic Science) ◽

10.1002/ecjc.1110 ◽

2002 ◽

Vol 85 (8) ◽

pp. 30-37

Author(s):

Yohzoh Okumura

Keyword(s):

Boundary Element Method ◽

Boundary Element ◽

Computational Efficiency ◽

Fast Multipole Method ◽

Three Dimensional ◽

Sound Field ◽

Field Analysis ◽

Fast Multipole ◽

Multipole Method ◽

Download Full-text

SIMULATION OF DROPS MOTION IN CHANNELS USING FAST MULTIPOLE METHOD /GRAPHICS PROCESSORS ACCELERATED BOUNDARY ELEMENT METHOD

Visualization of Mechanical Processes An International Online Journal ◽

10.1615/.2016016720 ◽

2013 ◽

Vol 3 (3) ◽

Author(s):

Olga A. Abramova ◽

Yulia A. Pityuk ◽

Nail A. Gumerov ◽

Iskander S. Akhatov

Keyword(s):

Boundary Element Method ◽

Boundary Element ◽

Fast Multipole Method ◽

Graphics Processors ◽

Fast Multipole ◽

Multipole Method ◽

Download Full-text

Analysis of hearing aid acoustical feedback by means of fast multipole method‐boundary element method and the transfer matrix method.

The Journal of the Acoustical Society of America ◽

10.1121/1.3588866 ◽

2011 ◽

Vol 129 (4) ◽

pp. 2656-2656

Author(s):

Julio A. Cordioli ◽

Douglas C. Araujo ◽

Arcanjo Lenzi ◽

Zargos Masson

Keyword(s):

Boundary Element Method ◽

Boundary Element ◽

Transfer Matrix ◽

Transfer Matrix Method ◽

Matrix Method ◽

Hearing Aid ◽

Fast Multipole Method ◽

Fast Multipole ◽

Multipole Method ◽

Download Full-text

An application of fast multipole method to isogeometric boundary element method for Laplace equation in two dimensions

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2012.06.004 ◽

2012 ◽

Vol 36 (12) ◽

pp. 1766-1775 ◽

Author(s):

Toru Takahashi ◽

Toshiro Matsumoto

Keyword(s):

Boundary Element Method ◽

Boundary Element ◽

Laplace Equation ◽

Fast Multipole Method ◽

Two Dimensions ◽

Fast Multipole ◽

Multipole Method ◽

Download Full-text

Efficient computation of 3‐D acoustical scattering from multiple arbitrarily shaped objects using the boundary element method/fast multipole method (BEM/FMM)

The Journal of the Acoustical Society of America ◽

10.1121/1.4777440 ◽

2006 ◽

Vol 120 (5) ◽

pp. 3282-3282

Author(s):

Nail A. Gumerov ◽

Ramani Duraiswami

Keyword(s):

Boundary Element Method ◽

Boundary Element ◽

Fast Multipole Method ◽

Efficient Computation ◽

Fast Multipole ◽

Multipole Method ◽

Download Full-text

GPU-accelerated indirect boundary element method for voxel model analyses with fast multipole method

Computer Physics Communications ◽

10.1016/j.cpc.2011.01.020 ◽

2011 ◽

Vol 182 (5) ◽

pp. 1162-1168 ◽

Author(s):

Shoji Hamada

Keyword(s):

Boundary Element Method ◽

Boundary Element ◽

Fast Multipole Method ◽

Fast Multipole ◽

Indirect Boundary Element Method ◽

Multipole Method ◽

Voxel Model ◽

Download Full-text