A MESHLESS SCHEME FOR SOLVING INVERSE PROBLEMS OF LAPLACE EQUATION
A MESHLESS SCHEME FOR SOLVING INVERSE PROBLEMS OF LAPLACE EQUATION
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解决拉普拉斯方程反问题的无网格方案
DOI：
10.1142/9789812704924_0027
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
T. Wei
中科院分区：
文献类型：
--
作者：
Y. Hon;T. Wei
本文提出了一种求解稳态热传导问题拉普拉斯方程反问题的无网格数值方法。可以同时确定未指定边界上的温度和热流密度。我们提出的方法的基本思想是用拉普拉斯算子基本解的线性组合逼近问题的解。若干光滑和非光滑几何的数值计算结果表明，该方法是有效和准确的。
In this paper, we present a meshless numerical method to solve inverse problems for Laplace equation which are the descriptions of a steady-state heat conduction problem. The temperature and heat flux on unspecified boundary can be determined simultaneously. The basic idea of our proposed method is to approximate the solution of problem by a linear combination of fundamental solution of Laplace operator. The numerical results of several examples involving smooth or non-smooth geometries show that the proposed method is efficient and accurate.