NUMERICAL METHODS OF THREE-DIMENSIONAL PENNESEQUATION USING PARTICULAR SOLUTION BEM   AND THEIR APPLICATIONS

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2001, Vol. 18 ›› Issue (5): 473-476.

Previous Articles Next Articles

NUMERICAL METHODS OF THREE-DIMENSIONAL PENNESEQUATION USING PARTICULAR SOLUTION BEM AND THEIR APPLICATIONS

LIU Zhao-xia¹, WU Sheng-chang¹, CHANG Qian-shun¹, HUANG Zhen-kan²

1. Institute of Applied Mathematics, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing 100080, P R China;
2. Beijing Polytechnic University, Beijing 10002, P R China

Received:2000-12-12 Revised:2001-04-06 Online:2001-09-25 Published:2001-09-25

Abstract

Abstract: Particular solution BEM is used to solve three-dimensional Pennes equation.The solution is devided into the common solution of Poisson equation and the particular solution.The common solution is solved by BEM while the particular solution is given by the method of separation of variables.Temperature and heatflux are computed piecewisely in each time step and then the value on the nods in the field is computed.Numerical simulation of cancer hypothermia is given based on this method.

Key words: particular solution BEM, Pennes equation, constant boundary element, the method of separation of variables

CLC Number:

O242.21

LIU Zhao-xia, WU Sheng-chang, CHANG Qian-shun, HUANG Zhen-kan. NUMERICAL METHODS OF THREE-DIMENSIONAL PENNESEQUATION USING PARTICULAR SOLUTION BEM AND THEIR APPLICATIONS[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2001, 18(5): 473-476.

[1]	CHEN Gong, WANG Yizheng, WANG Ye, ZHANG Chunyu. Reduced Basis Finite Element Method for Fast Solution of Parameterized Partial Differential Equations [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2018, 35(5): 515-524.
[2]	YANG Pu, NIU Hongpan, XIAO Shifu. A Generalized Finite Element for Plane-Strain Problem [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2016, 33(3): 358-366.
[3]	QI Nan, NIE Yufeng, ZHANG Weiwei. A Fast Node Placement Method with Bubble Simulation [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2012, 29(3): 333-339.
[4]	ZHANG Weiwei, NIE Yufeng, WANG Lei. Bubble Meshing Method for Two-parametric Surface [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2012, 29(1): 43-50.
[5]	MA Yan, HU Jianwei. Adaptive Upwind FEM for Drag-coefficient of Flow Around a Cylinder [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2009, 26(3): 378-388.
[6]	MA Dongjun, SUN Dejun, YIN Xieyuan. High Order Spectral Element Method and Application in Hydrodynamic Stability [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2007, 24(1): 7-12.
[7]	ZENG Yishan, ZENG Qinghong. An Improved Element Free Galerkin Method [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2007, 24(1): 35-41.
[8]	LI Jiang-hai, SUN Qin. Constructing a Class of Orthogonal-reinforced Hierarchical Hexahedra Vector FE [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2006, 23(1): 32-36.
[9]	LIU Qing-kai, ZHANG Lin-bo. A Parallel Bisection Mesh Refinement Algorithm for Distributed Memory Parallel Computers [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2005, 22(5): 399-406.
[10]	LI Hong. The High Resolution Discontinuous Finite Element Method [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2004, 21(4): 367-376.
[11]	ZHANG Yan-jun, WANG Si-jing, WANG En-zhi. Analysis of Two-phase Continuous Porous Media with FEM-EFGM Coupled Method [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2003, 20(2): 142-146.
[12]	SHEN Jin-song. MODELING 3-D ELECTROMAGNETIC RESPONSES OF THE MAGNETIC DIPOLE IN FREQUENCY DOMAIN BY USING THE EDGE FINITE ELEMENT METHOD [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2002, 19(6): 537-543.
[13]	LI Xiang-gui, YU Xi-jun, CHEN Guang-nan. DISCONTINUOUS FINITE ELEMENT METHODS FOR HAMILTON-JACOBI EQUATIONS [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2001, 18(6): 549-555.
[14]	DU Qi-kui, YU De-hao. DOMAIN DECOMPOSITION METHODS BASED ON NATURAL BOUNDARY REDUCTION FOR WAVE EQUATION [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2001, 18(5): 417-422.
[15]	Yan Hua, Xu Hui, Shao Fuque, Wang Shi. Improvement on calculation of sensitivity distribution of capacitance sensor [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1999, 16(1): 104-108.

NUMERICAL METHODS OF THREE-DIMENSIONAL PENNESEQUATION USING PARTICULAR SOLUTION BEM AND THEIR APPLICATIONS

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Authors

Reviewers

Journal Online

About Journal