UMAT_Damage

abaqus interface xfem

运用龙格库塔法-ode45求解一个多自由度的振动方程，得到振动的时域响应曲线(Using Runge Kutta method, -ode45 solved a multi degree of freedom vibration equation, and obtained the time domain response curve of vibration.)

MFC做的计算器程序，可以实现加减乘除。平方，立方等功能(MFC to do calculator program can be achieved subtraction multiplication and division. Square, cubic and other functions)

对大规模的矩阵做高斯消元，适合大规模矩阵求逆！！！！！(Done on a large scale matrix Gaussian elimination, suitable for large-scale matrix inversion! ! ! ! !)

weno计算阶跃函数 时间离散采取三阶RK法；使用五阶WENO方法计算函数在[-1，1]内的数值解。(weno calculation step function)

基于经典的增广拉格朗日乘子法, 对求解一类带有特定结构（主要是针对凸规划）的非光滑等式约束优化问题, 我们提出、分析并测试了一个新算法. 在极小化增广拉格朗日函数的每一步迭代中, 该算法有效结合了带有非单调线性搜索的交替方向技术, 我们建立了算法的收敛性, 并用它来求解在带有全变差正则化的图像恢复问题.(Based on the classic augmented Lagrangian multiplier method, we propose, analyze and test an algorithm for solving a class of equality-constrained nonsmooth optimization problems (chiefly but not necessarily convex programs) with a particular structure. The algorithm effectively combines an alternating direction technique with a nonmonotone line search to minimize the augmented Lagrangian function at each iteration. We establish convergence for this algorithm, and apply it to solving problems in image reconstruction with total variation regularization.)

针对随机结构随机激励下的动力响应概率分布求解，基于广义概率密度方法(the calculation of the generalized probability density function)

ADAM （Adaptive Moment Estimation）是另外一种自适应学习率算法，它结合动量梯度 下降法，在不同参数方向上采用不同学习率，保留前几次迭代的梯度，能够很好 的适应于稀疏数据。(ADAM (Adaptive Moment Estimation) is another adaptive learning rate algorithm, which combines momentum gradient. The descent method, which uses different learning rates in different parameter directions and retains the gradients of previous iterations, is very good. It is suitable for sparse data.)

说明：  任意边界结构正交曲线网格生成程序，使用方便简单(Arbitrary boundary structure of orthogonal curvilinear grid generation procedure, easy to use simple)

说明：  实现基2时域频域抽取fft算法，可输出运算后所得复序列的模值序列，并可记录显示计算所用时间(Achieve base 2 fft algorithm frequency domain extraction can be obtained after computing the output sequence of modulus of complex sequences can be used in the calculation time, records show)