Mobility_Jena

二维泊松方程的定解问题：用5点菱形异步迭代格式求解泊松方程，h=5/4 ,误差s=1e-6 (Differential method for Poisson equation)

点扩展函数的获取，最小二乘法估计PSF，验证通过，直接运行(Get the point spread function, least squares estimation PSF, verified by direct operation)

用C++编写的大整数计算的模板，可实现加、减、乘、除、取模等运算，可以通过此源码学习高精度的实现。(Written with C++ template large integer can be realized addition, subtraction, multiplication, division, modulus and other operations, you can achieve high-precision study of this source.)

用栈的思想实现的简易计算器，可直接输入表达式，然后自动计算结果(Ideology with a stack of simple calculator, you can directly enter an expression, then automatically calculated)

ER随机图算法，matlab程序，复杂网络仿真(ER random graph algorithms, Matlab procedures, complex network simulation)

增广拉格朗日乘子方法求解RPCA问题的方法，得到矩阵的稀疏成分和低秩成分。(argumented lagrange multiplier method that can make matrix be decomposed to a sparse matrix and low-rank matrix.)

信号维数的估计，计算一维光子晶体的透射特性和反射特性，小波包分析提取振动信号中的特征频率。( Signal dimension estimates, Calculated transmission characteristics and reflection characteristics of the one-dimensional photonic crystals, Wavelet packet analysis to extract vibration signal characteristic frequency.)

数值模拟方腔内Rayleigh-Benard对流。采用交错网格投影法，能量方程采用松耦合方法。(Numerical Simulation of square cavity Rayleigh-Benard convection. Using staggered grid projection method, the energy equation using loosely coupled approach.)

计算基尔霍夫近似下镜面与非镜面的反射系数，同时得到距离散射点2米的接收功率(Calculation Kirchhoff approximation of specular and non-specular reflection coefficient, while the reception power obtained from the scattering points of 2 meters)

下面我们将给出一些基于Galerkin有限元法的微型泵模拟结果，模拟过程在商业软件COMSOL Multiphysics 3.2中实现。数值求解采用压力修正算法——SIMPLE，它首先假设一个压力场，然后通过求解不可压缩流动的Navier-Stokes方程得到速度场。这些速度不需要满足Possion型连续方程，所以对压力场的修正也带来速度场的修正，最终满足质量守恒。求解速度场的同时计算电势场方程。这会得到Lorentz力，然后将其反馈回N-S方程并作为体积力处理。连续耦合Lorentz力和速度场直到Newton迭代收敛。 (Below we will give some micro-pump simulation results based on the Galerkin finite element method, the simulation process in the commercial software COMSOL Multiphysics 3.2. The numerical solution of pressure correction algorithm- the SIMPLE, it begins by assuming a pressure field, and then by solving the incompressible Navier-Stokes equations, the velocity field. These velocities do not need to satisfy the continuity equation of Possion type pressure field correction to bring the amendment of the velocity field, and ultimately to meet the conservation of mass. Solving the velocity field at the same time to calculate the potential field equations. This will be the Lorentz force, and then fed back to the NS equations and processing as a volume force. Continuous coupling of the Lorentz force and the velocity field until the Newton iteration convergence.)