Algorithm and Implementation of Fast Multipole Boundary Element Method with Theoretical Analysis for Two-Dimensional Heat Conduction Problems

Transactions of the Korean Society of Mechanical Engineers B ◽

10.3795/ksme-b.2013.37.5.441 ◽

2013 ◽

Vol 37 (5) ◽

pp. 441-448

Author(s):

Chang-Yong Choi

Keyword(s):

Heat Conduction ◽

Boundary Element Method ◽

Theoretical Analysis ◽

Boundary Element ◽

Two Dimensional ◽

Fast Multipole ◽

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Analysis of Two-Dimensional Nonlinear Transient Heat Conduction in Anisotropic Solids by Boundary Element Method Using Homotopy and Dual Reciprocity

JSME International Journal Series A ◽

10.1299/jsmea.49.163 ◽

2006 ◽

Vol 49 (2) ◽

pp. 163-169 ◽

Author(s):

Shuji ISHIGURO ◽

Masataka TANAKA

Keyword(s):

Heat Conduction ◽

Boundary Element Method ◽

Boundary Element ◽

Transient Heat Conduction ◽

Two Dimensional ◽

Nonlinear Transient ◽

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Shape optimizations of inhomogeneities of two dimensional (2D) and three dimensional (3D) steady state heat conduction problems by the boundary element method

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2015.03.007 ◽

2015 ◽

Vol 60 ◽

pp. 67-80 ◽

Author(s):

C.Y. Dong

Keyword(s):

Heat Conduction ◽

Steady State ◽

Boundary Element Method ◽

Boundary Element ◽

Three Dimensional ◽

Two Dimensional ◽

Steady State Heat ◽

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Analysis of Two-Dimensional Transient Heat Conduction in Anisotropic Solids by Boundary Element Method.

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A ◽

10.1299/kikaia.67.1087 ◽

2001 ◽

Vol 67 (659) ◽

pp. 1087-1092

Author(s):

Shuji ISHIGURO ◽

Masataka TANAKA ◽

Toshiro MATSUMOTO

Keyword(s):

Heat Conduction ◽

Boundary Element Method ◽

Boundary Element ◽

Transient Heat Conduction ◽

Two Dimensional ◽

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A new fast multipole boundary element method for two dimensional acoustic problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2010.11.005 ◽

2011 ◽

Vol 200 (9-12) ◽

pp. 1333-1340 ◽

Author(s):

Shande Li ◽

Qibai Huang

Keyword(s):

Boundary Element Method ◽

Boundary Element ◽

Two Dimensional ◽

Fast Multipole ◽

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Transient Heat Conduction Analysis for Two-Dimensional Orthotropic Bodies by Boundary Element Method.

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series B ◽

10.1299/kikaib.59.3906 ◽

1993 ◽

Vol 59 (568) ◽

pp. 3906-3912

Author(s):

Yoshihiro Ochiai ◽

Ryohei Ishida

Keyword(s):

Heat Conduction ◽

Boundary Element Method ◽

Boundary Element ◽

Transient Heat Conduction ◽

Two Dimensional ◽

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Level Set-Based Topology Optimization of Two Dimensional Heat Conduction Problems using the Boundary Element Method

Proceedings of the Twelfth International Conference on Computational Structures Technology ◽

10.4203/ccp.106.193 ◽

2014 ◽

Author(s):

G.X. Jing ◽

H. Isakari ◽

T. Matsumoto ◽

T. Takahashi ◽

T. Yamada

Keyword(s):

Topology Optimization ◽

Heat Conduction ◽

Boundary Element Method ◽

Boundary Element ◽

Level Set ◽

Two Dimensional ◽

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Analysis of Two-Dimensional Nonlinear Transient Heat Conduction in Anisotropic Solids by Boundary Element Method Using Homotopy and Dual Reciprocity

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A ◽

10.1299/kikaia.70.1682 ◽

2004 ◽

Vol 70 (700) ◽

pp. 1682-1688

Author(s):

Shuji ISHIGURO ◽

Masataka TANAKA

Keyword(s):

Heat Conduction ◽

Boundary Element Method ◽

Boundary Element ◽

Transient Heat Conduction ◽

Two Dimensional ◽

Nonlinear Transient ◽

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Analysis of Two-Dimensional Nonlinear Transient Heat Conduction in Anisotropic Solids by Boundary Element Method Using Dual Reciprocity Method

Journal of Environment and Engineering ◽

10.1299/jee.2.266 ◽

2007 ◽

Vol 2 (2) ◽

pp. 266-277 ◽

Author(s):

Shuji ISHIGURO ◽

Masataka TANAKA

Keyword(s):

Heat Conduction ◽

Boundary Element Method ◽

Boundary Element ◽

Transient Heat Conduction ◽

Two Dimensional ◽

Dual Reciprocity Method ◽

Reciprocity Method ◽

Nonlinear Transient ◽

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Application of fast multipole boundary element method for two-dimensional nonlinear interface debonding of particulate composites

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2019.12.017 ◽

2020 ◽

Vol 113 ◽

pp. 72-81 ◽

Author(s):

Zhipeng Wu ◽

Qinye Lin ◽

Yongqiang Chen

Keyword(s):

Boundary Element Method ◽

Boundary Element ◽

Particulate Composites ◽

Interface Debonding ◽

Two Dimensional ◽

Fast Multipole ◽

Nonlinear Interface ◽

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Analysis of Two-Dimensional Nonlinear Transient Heat Conduction in Anisotropic Solids by Boundary Element Method (Transformation of a Domain Integral into a Boundary Integral Using Green's Theorem)

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A ◽

10.1299/kikaia.72.1333 ◽

2006 ◽

Vol 72 (721) ◽

pp. 1333-1339

Author(s):

Shuji ISHIGURO ◽

Masataka TANAKA

Keyword(s):

Heat Conduction ◽

Boundary Element Method ◽

Boundary Element ◽

Transient Heat Conduction ◽

Boundary Integral ◽

Two Dimensional ◽

Green’S Theorem ◽

Domain Integral ◽

Nonlinear Transient ◽

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