Linearized finite differnce methods: application to nonlinear heat conduction problems

机译：线性化有限差分法：应用于非线性热传导问题

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Partially-linearized, approximate factorization methods for multidimen-sional, nonlinear reaction-diffusion problems are presented. These methods first discretize the time derivatives and linearize the equations, and then factorize the multidimensional operators into a sequence of one-dimensional ones. Depending on how the Jacobian matrix is approximated, fully coupled, sequentially coupled or uncoupled, linear, one-dimensional problems are obtained. It is shown that the approximate errors of the linearized tech-niques presented here are nearly the same, whereas thier accuracy depends on the approximation to the Jacobian matrix.

机译：提出了用于多维非线性反应扩散问题的部分线性化近似分解方法。这些方法首先离散化时间导数并使方程线性化，然后将多维算子分解为一维算子序列。根据雅可比矩阵的近似方式，可以获得完全耦合，顺序耦合或非耦合的线性一维问题。结果表明，这里介绍的线性化技术的近似误差几乎相同，而其精度取决于对雅可比矩阵的近似。

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《Fourth International Conference on Advanced Computational Methods in Heat Transfer held in Udine, Italy, in July 1996》|1996年|p.527-536|共10页
会议地点 Udine(IT)
作者
C.M. Garcia-Lopez; J.I. Ramos;
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正文语种 eng
中图分类能源与动力工程;
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Linearized finite differnce methods: application to nonlinear heat conduction problems

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