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Based on the harmonic algorithm, the conductivity reconstruction method and the corresponding algorithm in oblique slice were proposed. Then the numerical simulation was performed by solving the Neumann boundary problem, Ohm's law and Biot-Savart law to obtain the magnetic flux density used to reconstruct the conductivity.

然后通过数值仿真来实现提出的算法,首先进行了正问题求解,即利用Neumann边界值问题、欧姆定律和毕奥-萨伐尔定律逐步计算出重建电导率分布的磁通密度的一个分量,接着进行了逆问题求解,即根据重建算法得到了横截面和斜位面内的相对电导率分布,并对仿真的结果进行了分析和讨论。

By combining the theory of sectionally holomorphic function, the analytical extending method, Cauchy model integral, the analysis of the singularity of complex functions and Riemann boundary problem, analytic relations between the complex potentials were obtained.

研究压电材料在均匀热流作用下螺型位错与圆弧裂纹的相互作用,综合运用复变函数分区全纯理论、解析函数奇性主部分析方法、解析延拓原理、Cauchy型积分以及Riemann边值问题求解方法,获得各复势函数之间的解析关系,进一步得到了特殊情况下所讨论问题的封闭解,并求解出像力随温度梯度和位错位置变化的表达式。

To sum up, in the paper unified computational methods for solving notwell-posed continuous linear operator equation wore given and there are alsoconvenient for the physical problems.

综上所述,本文中关于不适定连续线性算子方程求解问题的研究,注意到各种物理问题求解的方便性,给出了解决此类问题的统一的计算方法。

To inequality constraint s, a check procedure and a penalty function procedure are proposed, and equality constraints are dealt with by a procedure of solving equations in which tear equations may be converged by an iterating way or a penalty function way.

在无约束非线性规划问题全局优化的模拟退火算法基础上,进行有约束问题求解的进一步探讨,对不等式约束条件提出了检验法和罚函数法的处理方法,对等式约束条件开发了罚函数法和解方程法的求解步骤,并进行了分析比较,从而形成了完整的求取非线性规划问题全局优化的模拟退火算法。

An optimization method is proposed to solve steady-state optimization problems by linear approximation of the object function and the Linear Matrix Inequalities Problem and Eigenvalue Problem of Linear Matrix Inequalities theory.

提出了将稳态优化问题的目标函数进行线性逼近及用可行性问题求解算法和特征值问题求解算法进行求解的优化方法。

An optimization method is proposed to solved steady-state optimization problems by quadratic approximation of the object function and the Linear Matrix Inequalities Problem and Eigenvalue Problem of Linear Matrix Inequalities theory.

提出了将稳态优化问题的目标函数进行二次逼近及用可行性问题求解算法和特征值问题求解算法进行求解的优化方法。

This algorithm not only computes the minimum cost of the problem solutions, but also gives the steps corresponding to the minimum cost solution.

在具有p(1≤p≤n)个处理机的CREW PRAM并型计算模型上,对一类动态规划问题给出了一处理机利用率为E=0(1),并行加速比为S=0的并行算法;计算了问题求解的最少费用,并同时给出了问题求解的方法。

Zhang et al. proposed the quotient space theory of problem solving with the bionics viewpoint to analyze and understand the human behavior.

张铃教授与其合作者从仿生学的观点提出的基于商空间的问题求解理论,正是从人类求解问题的一种思维方法来分析和讨论问题。

In the first chapter, the application background and the main algorithms of the complementarity problems is introduced. In Chapter 2, some basic definitions and theories of complementarity problems are introduced. The 3rd chapter is the most important part of this paper, in which a new class of smoothing Newton method is detailed, also the global and local superlinear convergence is established for the method. In the 4th chapter, we propose some numerical experiment, and the results show the effectiveness of the proposed algorithms.

全文共分为四章,各部分内容安排如下:第一章是绪论部分,介绍了互补问题的应用背景和近年来有关互补问题求解方法的研究成果;第二章介绍了与互补问题相关的一些定义以及相关的定理和推论;第三章是本文的重点,构造了求解互补问题的一类光滑牛顿法,从理论上证明了算法的全局收敛性和局部超线性收敛性;第四章是数值实验,通过数值试验的结果进一步证明了算法的可行性和有效性。

And the frontal technique is adapted to solve the FE equations. The techniques are studied to deal with the large slip frictional contactproblems between a deflectable body with large deformation and a rigid bodywith flat or curved surface. A new algorithm is presented to resolve such contactproblems, including incremental displacement constraints and force constraints,and the modules are programmed. The performances of tire under static load invertical loading state and camber state are analyzed by this method. And theexperiments were carried out at the same condition as used in analysis process.

研究了大变形柔性体与具有平面及曲面外形刚性体之间的大滑动摩擦接触问题,提出了求解这类接触问题的位移增量约束和主动力增量约束处理方法;编制了大变形柔性体与具有平面及曲面外形刚性体之间的大滑动摩擦接触问题求解模块;利用本文提出的大滑移接触问题处理方法,分析了轮胎在径向静载和静态外倾加载条件下受力和变形,并对部分分析结果进行了试验验证,验证结果表明,本文提出的位移增量约束和主动力增量约束处理接触问题的方法是正确可靠的,而且具有精度高、收敛性好、收敛速度快的优点。

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