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Numerical solution of 2-D nonlinear inverse heat conduction problems using finite-element techniques

机译:二维非线性逆导热问题的有限元数值解

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摘要

A general method is presented for solving different classes of nonlinear inverse heat conduction problems (IHCP) for two-dimensional, arbitrarily shaped bodies. It is based on the systematic use of a finite-element library. It is shown that, following this approach, the conjugate gradient method can be easily implemented. The method offers a very wide field of practical applications in inverse thermal analysis, while reducing very significantly the amount of work which remains specific for each particular IHPC. Two numerical experiments illustrate the influence of data errors and the iterative regularization principle. [References: 21]
机译:提出了一种通用方法,用于求解二维任意形状的物体的不同类别的非线性逆导热问题(IHCP)。它基于有限元库的系统使用。结果表明,遵循这种方法,共轭梯度法可以轻松实现。该方法在逆热分析中提供了广泛的实际应用领域,同时极大地减少了对每个特定IHPC仍然特定的工作量。两个数值实验说明了数据错误的影响和迭代正则化原理。 [参考:21]

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