Modified Quadrature Method for Solving BIEs of Steady-State Anisotropic Heat Conduction Problems

Xin Luo; Jin Huang

doi:10.4028/www.scientific.net/AMM.687-691.1354

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 687-691Modified Quadrature Method for Solving BIEs of...

Modified Quadrature Method for Solving BIEs of Steady-State Anisotropic Heat Conduction Problems

Abstract:

In this paper, steady-state anisotropic heat conduction equation can be converted into the first kind integral equation, then modified quadrature formula based on trapezoidal rule is used to deal the integrals with singular kernels. In addition, Sidi transformation is applied to remove the singularities at concave points in concave polygons. This technique improves the accuracy of numerical solutions of the heat conduction equation. Numerical results show the convergence rate of the proposed method is the order three.

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Periodical:

Applied Mechanics and Materials (Volumes 687-691)

Pages:

1354-1358

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.687-691.1354

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Online since:

November 2014

Authors:

Xin Luo, Jin Huang

Keywords:

Anisotropic Heat Conduction, Convergence Rate, Modified Quadrature Method

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References

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