A Fast Multipole Boundary Integral Equation Method for Periodic Boundary Value Problems in Three-Dimensional Elastostatics and its Application to Homogenization

Y. Otani; N. Nishimura

doi:10.1615/intjmultcompeng.v4.i4.60

A Fast Multipole Boundary Integral Equation Method for Periodic Boundary Value Problems in Three-Dimensional Elastostatics and its Application to Homogenization

International Journal for Multiscale Computational Engineering ◽

10.1615/intjmultcompeng.v4.i4.60 ◽

2006 ◽

Vol 4 (4) ◽

pp. 487-500 ◽

Cited By ~ 9

Author(s):

Y. Otani ◽

N. Nishimura

Keyword(s):

Integral Equation ◽

Boundary Value Problems ◽

Boundary Integral Equation ◽

Periodic Boundary ◽

Three Dimensional ◽

Integral Equation Method ◽

Boundary Integral ◽

Boundary Integral Equation Method ◽

Equation Method ◽

Periodic Boundary Value Problems

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Combined Scattering Matrix and Boundary Integral Equation Method for the Analysis and Field Computation in Three-Dimensional Multiport Waveguide Discontinuities

Electromagnetics ◽

10.1080/02726340390159405 ◽

2003 ◽

Vol 23 (1) ◽

pp. 27-40 ◽

Cited By ~ 1

Author(s):

PASI YLÄ-OIJALA ◽

MATTI TASKINEN

Keyword(s):

Integral Equation ◽

Boundary Integral Equation ◽

Three Dimensional ◽

Integral Equation Method ◽

Scattering Matrix ◽

Boundary Integral ◽

Boundary Integral Equation Method ◽

Equation Method ◽

Field Computation ◽

Waveguide Discontinuities

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An improved boundary-integral equation method for three dimensional elastic stress analysis

Computers & Structures ◽

10.1016/0045-7949(74)90042-x ◽

1974 ◽

Vol 4 (4) ◽

pp. 741-754 ◽

Cited By ~ 209

Author(s):

Thomas A. Cruse

Keyword(s):

Integral Equation ◽

Stress Analysis ◽

Boundary Integral Equation ◽

Elastic Stress ◽

Three Dimensional ◽

Integral Equation Method ◽

Boundary Integral ◽

Boundary Integral Equation Method ◽

Equation Method

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A three-dimensional indirect boundary integral equation method for the scattering of seismic waves in a poroelastic layered half-space

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2021.11.012 ◽

2022 ◽

Vol 135 ◽

pp. 167-181

Author(s):

Lei Huang ◽

Zhongxian Liu ◽

Chengqing Wu ◽

Jianwen Liang ◽

Qiang Pei

Keyword(s):

Integral Equation ◽

Half Space ◽

Boundary Integral Equation ◽

Seismic Waves ◽

Three Dimensional ◽

Integral Equation Method ◽

Boundary Integral ◽

Boundary Integral Equation Method ◽

Equation Method ◽

Layered Half Space

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On the parallelisation of a time domain fast boundary integral equation method for three dimensional elastodynamics for shared memory computers

Journal of Applied Mechanics ◽

10.2208/journalam.7.295 ◽

2004 ◽

Vol 7 ◽

pp. 295-304

Author(s):

Yoshihiro OTANI ◽

Naoshi NISHIMURA ◽

Michihiro KITAHARA

Keyword(s):

Integral Equation ◽

Shared Memory ◽

Boundary Integral Equation ◽

Time Domain ◽

Three Dimensional ◽

Integral Equation Method ◽

Boundary Integral ◽

Boundary Integral Equation Method ◽

Equation Method

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Application of the boundary-integral equation method to three dimensional stress analysis

Computers & Structures ◽

10.1016/0045-7949(73)90094-1 ◽

1973 ◽

Vol 3 (3) ◽

pp. 509-527 ◽

Cited By ~ 126

Author(s):

Thomas A. Cruse

Keyword(s):

Integral Equation ◽

Stress Analysis ◽

Boundary Integral Equation ◽

Three Dimensional ◽

Integral Equation Method ◽

Boundary Integral ◽

Boundary Integral Equation Method ◽

Equation Method

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Aanlysis of Three Dimensional Elastostatic Crack Probems with Fast Multipole Boundary Integral Equation Method

Journal of Applied Mechanics ◽

10.2208/journalam.1.365 ◽

1998 ◽

Vol 1 ◽

pp. 365-372 ◽

Cited By ~ 3

Author(s):

Ken-ichi YOSHIDA ◽

Naoshi NISHIMURA ◽

Shoichi KOBAYASHI

Keyword(s):

Integral Equation ◽

Boundary Integral Equation ◽

Three Dimensional ◽

Integral Equation Method ◽

Boundary Integral ◽

Boundary Integral Equation Method ◽

Equation Method ◽

Fast Multipole

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The use of three dimensional boundary integral equation method for determining stresses at tunnel interactions

International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts ◽

10.1016/0148-9062(76)90653-7 ◽

1976 ◽

Vol 13 (10) ◽

pp. 125

Keyword(s):

Integral Equation ◽

Boundary Integral Equation ◽

Three Dimensional ◽

Integral Equation Method ◽

Boundary Integral ◽

Boundary Integral Equation Method ◽

Equation Method ◽

Dimensional Boundary

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An interpolation-based fast-multipole accelerated boundary integral equation method for the three-dimensional wave equation

Journal of Computational Physics ◽

10.1016/j.jcp.2013.11.008 ◽

2014 ◽

Vol 258 ◽

pp. 809-832 ◽

Cited By ~ 6

Author(s):

Toru Takahashi

Keyword(s):

Integral Equation ◽

Wave Equation ◽

Boundary Integral Equation ◽

Three Dimensional ◽

Integral Equation Method ◽

Boundary Integral ◽

Boundary Integral Equation Method ◽

Equation Method ◽

Fast Multipole ◽

Dimensional Wave

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An efficient three‐dimensional boundary integral equation method for solving azimuthally symmetric scattering problems in the oceanic waveguide

The Journal of the Acoustical Society of America ◽

10.1121/1.407472 ◽

1993 ◽

Vol 94 (4) ◽

pp. 2307-2314 ◽

Cited By ~ 8

Author(s):

John A. Fawcett

Keyword(s):

Integral Equation ◽

Boundary Integral Equation ◽

Three Dimensional ◽

Integral Equation Method ◽

Boundary Integral ◽

Boundary Integral Equation Method ◽

Equation Method ◽

Oceanic Waveguide ◽

Scattering Problems ◽

Dimensional Boundary

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Three‐dimensional analysis for tunnels in an elastic half‐space with boundary integral equation method

Journal of the Chinese Institute of Engineers ◽

10.1080/02533839.1988.9677100 ◽

1988 ◽

Vol 11 (5) ◽

pp. 505-517

Author(s):

Chau‐Shioung Yeh ◽

Tsan‐Hwei Huang

Keyword(s):

Integral Equation ◽

Half Space ◽

Dimensional Analysis ◽

Boundary Integral Equation ◽

Three Dimensional ◽

Integral Equation Method ◽

Elastic Half Space ◽

Boundary Integral ◽

Boundary Integral Equation Method ◽

Equation Method

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