A new hybrid boundary node method based on Taylor expansion and the Shepard interpolation method

Fei Yan; Jia-He Lv; Xia-Ting Feng; Peng-Zhi Pan

doi:10.1002/nme.4861

A new hybrid boundary node method based on Taylor expansion and the Shepard interpolation method

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.4861 ◽

2015 ◽

Vol 102 (8) ◽

pp. 1488-1506 ◽

Cited By ~ 12

Author(s):

Fei Yan ◽

Jia-He Lv ◽

Xia-Ting Feng ◽

Peng-Zhi Pan

Keyword(s):

Taylor Expansion ◽

Interpolation Method ◽

Boundary Node ◽

Hybrid Boundary Node Method

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A new dual reciprocity hybrid boundary node method based on Shepard and Taylor interpolation method and Chebyshev polynomials

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2016.08.015 ◽

2016 ◽

Vol 73 ◽

pp. 61-68 ◽

Cited By ~ 2

Author(s):

Fei Yan ◽

Xia-Ting Feng ◽

Jia-He Lv ◽

Peng-Zhi Pan ◽

Shao-Jun Li

Keyword(s):

Chebyshev Polynomials ◽

Interpolation Method ◽

Boundary Node ◽

Hybrid Boundary Node Method

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The Erdogan fundamental solution-based hybrid boundary node method for fracture problems

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2020.07.015 ◽

2020 ◽

Vol 119 ◽

pp. 133-139

Author(s):

Hai-bin Wang ◽

Fei Yan ◽

Li-wei Zhang ◽

Wei Zhang ◽

Quan Jiang ◽

...

Keyword(s):

Fundamental Solution ◽

Boundary Node ◽

Hybrid Boundary Node Method

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Multi-domain hybrid boundary node method for evaluating top-down crack in Asphalt pavements

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2010.04.002 ◽

2010 ◽

Vol 34 (9) ◽

pp. 755-760 ◽

Cited By ~ 27

Author(s):

Y. Miao ◽

T.G. He ◽

Q. Yang ◽

J.J. Zheng

Keyword(s):

Asphalt Pavements ◽

Top Down ◽

Boundary Node ◽

Hybrid Boundary Node Method

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A continuous–discontinuous hybrid boundary node method for solving stress intensity factor

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2017.05.002 ◽

2017 ◽

Vol 81 ◽

pp. 35-43 ◽

Cited By ~ 2

Author(s):

Fei Yan ◽

Xia-Ting Feng ◽

Jia-He Lv ◽

Shao-Jun Li

Keyword(s):

Stress Intensity Factor ◽

Stress Intensity ◽

Intensity Factor ◽

Boundary Node ◽

Hybrid Boundary Node Method

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A meshless singular hybrid boundary node method for 2‐D elastostatics

Journal of the Chinese Institute of Engineers ◽

10.1080/02533839.2004.9670898 ◽

2004 ◽

Vol 27 (4) ◽

pp. 481-490 ◽

Cited By ~ 9

Author(s):

Hong‐Tao Wang ◽

Zhen‐Han Yao ◽

Song Cen

Keyword(s):

Boundary Node ◽

Hybrid Boundary Node Method

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Development of a meshless hybrid boundary node method for Stokes flows

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2013.03.012 ◽

2013 ◽

Vol 37 (6) ◽

pp. 899-908 ◽

Cited By ~ 6

Author(s):

Fei Tan ◽

Youliang Zhang ◽

Yinping Li

Keyword(s):

Boundary Node ◽

Stokes Flows ◽

Hybrid Boundary Node Method

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Notice of Retraction: Torsion of uniform bars using the improved Hybrid Boundary Node Method

2011 2nd International Conference on Artificial Intelligence, Management Science and Electronic Commerce (AIMSEC) ◽

10.1109/aimsec.2011.6010906 ◽

2011 ◽

Author(s):

Yuzhou Sima ◽

Liuzhong Xu

Keyword(s):

Boundary Node ◽

Hybrid Boundary Node Method

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A fast multipole hybrid boundary node method for composite materials

Computational Mechanics ◽

10.1007/s00466-012-0766-y ◽

2012 ◽

Vol 51 (6) ◽

pp. 885-897 ◽

Cited By ~ 21

Author(s):

Qiao Wang ◽

Yu Miao ◽

Hongping Zhu

Keyword(s):

Composite Materials ◽

Fast Multipole ◽

Boundary Node ◽

Hybrid Boundary Node Method

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Development of hybrid boundary node method in two-dimensional elasticity

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2005.02.009 ◽

2005 ◽

Vol 29 (7) ◽

pp. 703-712 ◽

Cited By ~ 41

Author(s):

Y. Miao ◽

Y.H. Wang ◽

F. Yu

Keyword(s):

Two Dimensional ◽

Boundary Node ◽

Hybrid Boundary Node Method

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Hybrid Boundary Node Method for Analysis of 3D Thin Structure

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.501-504.2484 ◽

2014 ◽

Vol 501-504 ◽

pp. 2484-2487

Author(s):

Xi Yu Zhang ◽

Tian Can Sun

Keyword(s):

Meshless Method ◽

High Accuracy ◽

Theory Analysis ◽

Boundary Node ◽

Thin Structures ◽

Numerical Result ◽

Plate And Shell ◽

Hybrid Boundary Node Method ◽

Thin Structure ◽

Mls Approximation

The hybrid boundary node method (Hybrid BNM) is a boundary type meshless method which based on the modified variational principle and the Moving Least Squares (MLS) approximation. This paper apply the Hybrid BNM to thin structures. No plate and shell theories are used. Theory analysis of the feasibility of the Hybrid BNM for thin structures is proposed. Numerical result shows that the Hybrid BNM is suitable for thin structures and high accuracy can be observed.

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