During the research of the novel high - voltage soi lateral structure , we established its blocking theory based on poisson equation , which classifies its blocking mechanism by describing the potential distribution in the drift region very well when the device is in the blocking state 在新型横向高压器件结构tsoi的研究中，本文通过二维泊松方程建立其解析理论，正确描述了漂移区中电场的分布，并阐明其耐压机理。
On the other hand , the paper researches the solution of poisson equation and studies how to solve the equation in the runge - kutta method . the result show it is better when solve the poisson equation at the third step in runge - kutta method 另外，本文对压力poisson方程的差分求解方法做了较多的研究，探讨在runge - kutta法中如何实施压力解法，说明对runge - kutta法各步全都进行压力求解反而不及单步压力poisson方程计算。
By the use of iteration method to solve schrodinger - poisson equations when algan barrier layer doped about 1 1018cm - 3 , the max sheet density of 2deg is 1 1012cm - 2 and the thickness of 2deg is increasing from 15nm to 40nm with barrier ’ s thickness increasing 采用迭代法求解schrodinger - poisson方程,当algan势垒层掺杂浓度为1 1018cm - 3时,二维电子气浓度最高可达1 1012cm - 2 ,并且二维电子气薄层厚度随着势垒层厚度的增加从15nm增加到40nm 。
Because of the great potential of sic mosfets and circuits , in this paper , the characteristics of 6h - sic pmosfets are studied systematically , emphasizing on the effects of interface state and s / d series resistance on sic pmosfets firstly , the crystal structure of silicon carbide , the phenomena of incomplete ionization of the impurity and the fitting formula of hole mobility are presented . the characterization in space - charge region of sic pmos structure is analyzed by solving one dimension poisson equation 研究了sic的晶体结构，分析了sic中杂质的不完全离化现象以及sic中空穴迁移率的拟和公式；用解一维poisson方程的方法分析了sicpmos空间电荷区的电特性；本论文重点分析了界面态分布和源漏串联电阻对sicpmos器件特性的影响。
The research aims at the demonstration and the mend of the design on the new purifier and presents a calculation method for solving the two - phase flow in fluid machine by the finite element method . after analyzing the two - phase flow in the new purifier by means of the continuum model , poisson equation , navier - stokes equation and continuous equation are derived and solved by using the finite element method . the solution on pressure , velocity and particle concentration simulates the departure well between oil and water , which proves the accuracy of the design on the new purifier 本文采用两相流连续介质模型，由两相分离流动理论得到控制方程，采用chorin的直接速度-压力mac法的思路，对新型油水分离装置内油水两相流动作了细致的分析，同时首次把科氏惯性力引入两相流模型中，进行分析和计算，将研究扩展到三维，并用有限元法分别解poisson方程、 n - s方程、连续方程的方法，对流场内压力场、速度场、浓度场进行了分析和计算，较好地模拟了新型油水分离装置内油水分离的现象，证明了设计方案的正确性。
At last we do some numerical algotithms , we will see the linear equations from the discreteness of poisson equation and navier - stokes equation are all ep linear equations . when the equations are inconsistant we will make a good tolerance through the minimal | | . | | m norm solution 在算法方面，我们以poisson方程和navier - stokes方程为例，首先我们说明这两个方程经差分格式离散后所得到的线性方程组均是ep线性方程组，当方程组不相容时我们通过求其最小? m范数解来获得一个比较好的停机标准。
In the fourth chapter , for the poisson equations with dirichlet boundary value problem , by using the special property of the five parameters nonconfonning rectagular element and new error estimate skills , the superclose and the global superconvergence of it are presented directly , the methods proposed here are much easier than those of wilson nonconfonning element 对于dirichlet边界poisson方程，本文第四章运用五参数非协调矩形元的的特殊构造方法和性质，并利用新的误差估计技巧，直接给出了该类单元的超逼近性质和整体超收敛性质。该方法比wilson非协调元超逼近性质的研究方法简单得多。
In the numerical solution algorithm , the method of characteristics , analytic method and galerkin finite element method ( galerkin - fem ) can be chosen to solve the advective equation , diffusion equations , reaction ( source / sink ) equations , propagation equations and pressure poisson equation , respectively . the developed new algorithm has been verified using analytical solution of circular conduit flow in a reynolds number range of 100 < re < 1 000 and experimental data of the laminar flow over a backward - step facing step . the flow properties are well characterized by this three - dimensional numerical model 本论文在评述三维粘性流动数学模型已有研究成果的基础上，着重在数值计算方法的选择和定解条件的给定对数学模型计算结果的影响进行了研究，并首次提出了求解三维纯对流方程的高精度的拟协调单元法，建立了三维低雷诺数re流动的数学模型，并在圆管流动、台阶突扩矩形管道流动中得到验证和应用。
The paper uses a high order method to solve incompressible viscous complex flows based on a domain decomposition and matched method , , the primitive variable and pressure poisson equation formulation are employed for the numerical solutions of the incompressible navier - stokes equations , in tensor forms , on non - staggered grids 本文采用了一种基于分块耦合求解粘性不可压缩复杂流场的高精度计算方法。计算模块采用原始变量和压力poisson方程方法，差分方程为张量形式的粘性不可压缩navier - stokes方程组在非交错网格上离散。
In this paper , we expand the eigenvalue of poisson equation using nonconforrn - ing q1rot element . the principal term of error we get is not negative . in general , the approximate eigenvalue is the upper bound , but the approximate eigenvalue may be the lower bound when the principal term is zero 本论文对poisson方程的特征值采用方形旋转双线性非协调元( q _ 1 ~ ( rot )元)进行展开，得出的误差主项大于或等于零，因此在一般情况下近似特征值是上界，但当主项等于零时近似特征值可能是下界。
