Identification of heat-source and force using boundary integrals.
Identification of heat-source and force using boundary integrals.
复制标题
使用边界积分识别热源和力。
DOI：
10.1299/kikaia.54.1329
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发表时间：
1988
期刊：
影响因子：
--
通讯作者：
K. Ohji
中科院分区：
文献类型：
--
作者：
S. Kubo;K. Ohnaka;K. Ohji
本文提出了一种确定性方法，用于从边界上的积分值识别区域内的热源或力。对于稳态热传导问题，证明了热源强度乘以调和函数的体积积分可以用边界积分表示。这使我们能够确定的强度和热源的位置，通过结合使用几个调和函数的边界积分值进行评估。将该方法推广到瞬态热传导问题的热源识别。它表明，该方法可以进一步推广到确定的线性偏微分方程的系统中的输入。通过对稳态热传导问题热源识别的数值模拟，证明了该方法的有效性。
A deterministic approach is proposed for the identification of heat-source or force applied in a domain from values of integrals evaluated on the boundary. For steady-state heat conduction problems, it is shown that a volume integral of the intensity of a heat-source multiplied by a harmonic function can be expressed by a boundary integral. This enables us to determine the intensity and the location of the heat-source by combining the values of the boundary integrals evaluated using several harmonic functions. This approach is extended to the identification of the heat-source for transient heat conduction problems. It is shown that the method can be further generalized for the determination of input in a system governed by a linear partial differential equation. The usefulness of the proposed method is demonstrated by a numerical simulation of heat-source identification for a steady-state heat conduction problem.