Explain-of-SAP5

ivf Fortran 有限元计算 一端固支 另一端自由移动的二维梁结构的振动(calculate the 2D beam vibration based on Finite Element Method in Fortran)

Computer Arithmetic (press 2000)

复数的四则运算完整版，包括加减乘除，阶乘，开方等。。。(The plural arithmetic full version,, including addition, subtraction, multiplication, and division factorial, prescribing, etc...)

说明：  这是用matlab实现em算法的程序，简单，易懂，共同学习噢。(EM)

二维粘弹性介质中波的传播的解析形式。应用Carcione等在1988年发表的《WAVE PROPAGATION SIMULATION IN A LINEAR VISCOELASTIC MEDIUM》一文中的方法，更加详细的介绍见英文描述。该代码对于做波场模拟的同学有很好的参考价值。( MATLABScript for obtaning the analytical solution for 2D wave propagation in a viscoelastic medium, based on the Appendix B of paper of Carcione et al. (1988)(1), corrected in (2). The source used is a Ricker wavelet in the y velocity component. A figure of the source temporal function and its inverse Fourier transform are provided to verify the good working of the method. Also works for elastic variables by substituting the values of vp and vs by real constant ones (vp_0 & vs_0). Attenuation is implemented by GMB-EK rheology presented in (4) and thoroughfully explained in (3). In order to make a proper comparison with numerical data it is recommended to either use the same rheology in both the numerical and the analytical. It is also possible to get an almost constant Q value by increasing a lot the number of mechanisms used in both the numerical and the analytical solutions, thus minimizing the effects of the Q fitting in the comparison.)

cohesive element模拟复合材料损伤-VUMAT(cohesive element-VUMAT)

用Python语言写的多目标进化算法库（2017年最新版本），包含常见的多目标进化算法以及当前最新文献中的最新算法，能够实现不同算法之间的性能比较（包含常见的GD, IGD, HV等评价指标自动生成）。可以供进化计算、多目标优化、单目标优化算法的学习参考。Python语言版本简单易懂，实用性强。(Library of multi-objective evolutionary algorithm written in Python language (the latest version in 2017), including multi-objective evolutionary algorithm and the most common new literature in the new algorithm, can realize the performance between different methods (including the common GD, IGD, HV and other evaluation index generation). It can be used as a reference for evolutionary computation, multi-objective optimization and single objective optimization. Python language version is simple and easy to understand, practical.)

可实现Dijkstra算法，显示起始点到其它各节点的最短距离和路径(Dijkstra algorithm can be implemented to show the shortest distance and path from the starting point to other nodes.)

滤波程序，从同事那里要的，大家一起交流学习(BADNELL & BURGESS D.A.M.T.P. CAMBRIDGE C C DIAGONALIZATION OF REAL SYMMETRIC N-BY-N MATRIX Z. C C METHOD: HOUSEHOLDER REDUCTION TO TRI-DIAGONAL FORM AND SHIFTED C QL ALGORITHM TO DETERMINE THE E-VALUES AND E-VECTORS. C C BASED ON MARTIN, REINSCH & WILKINSON: NUM. MATH. 11, 181-95 (1968). C C INPUT REQUIRED. N, IUP AND Z. ONLY LOWER TRIANGLE OF Z NEED BE SUPPLIED. C MATRIX Z OVERWRITTEN BY EIGENVECTORS OF Z. C IUP=1/-1 ASC/DESCENDING SORT, 0 NO SORT. C MXMAT, IS THE ROW DIMENSION OF Z IN THE CALLING ROUTINE. C C OUTPUT. Z AND D, WHERE Z CONSISTS OF COLUMN EIGENVECTORS C AND D CONSISTS OF CORRESPONDING EIGENVALUES. C C NOTE: E IS A WORKING ARRAY. C)

圆柱绕流边界元程序 用边界元的方法计算圆柱绕流(flow around colomn )