Afterward, the article analyses the inevitable relationship between the minimum energy of grads and anisotropic diffusion equations. It begins with the method of energy analysis, then constructs variational problem, gets the original model at last.
然后,文章分析了梯度能量最小化与异质扩散方程的必然联系,从能量分析法切入,构造变分问题,从而得到原始模型。
参考来源 - 偏微分方程在图像处理中的应用·2,447,543篇论文数据，部分数据来源于NoteExpress
Usually the probability of rare event derived from large deviation method can be expressed as a solution of variational problem.
通常，源于大偏差方法的小概率事件的概率可以作为一个变分问题的解。
The new variational principles can fully characterize the initial-boundary-value problem of this dynamics.
这种新的变分原理能反映动力学初值-边值问题的全部特征。
The obstacle problem is the typical example of the elliptic variational inequality of the first kind.
薄膜障碍问题是第一类椭圆型变分不等式的代表性模型。
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