Computational Science and Engineering Translator: Adversarr Github:github.com/Adversarr/mu 背景问题 考虑如下的两点边值问题: {−u″(x)=f(x)∀x∈(0,1)u(0)=u(1)=0 我们使用有限差分法进行求解,对于空间采用N+1点均匀划分: x0=0,...,xn=i/N,...,xN=1 二阶导数用如下的公式近似:...
This code implements a multigrid "$\kappa$-cycle" type, which is a family of cycle types which includes the classic "v-cycle", "w-cycle" and "f-cycle" types. The code may run on the CPU or on the GPU using cuda, decided by a command line option. The code also implements a Conj...
linspace(0, nCycle-1, nCycle) ax.set_yscale("log", base=10) ax.plot(ii,mg.res,color='black',linewidth=2,linestyle='solid',marker='none',markerfacecolor='none',label='res') plt.tight_layout() plt.show() windows11+powershell PS D:\github\OneFLOW\example\2d-poisson\multigrid\03> ...
Long + short cycle 将long cycle 和 short cycle 策略结合, 对于每个学习率阶段,long cycle 的四种 shape 均经历一次且进行相同 iteration 次数的迭代训练, 同时在每种 shape 的 iterations 中使用 short cycle, 交替改变 B, H 和 W 的值。 学习率放大 当mini-batch 大小由于 long cycle 策略而发生变化时...
linspace(0, nCycle-1, nCycle) ax.set_yscale("log", base=10) ax.plot(ii,mg.res,color='black',linewidth=2,linestyle='solid',marker='none',markerfacecolor='none',label='res') plt.tight_layout() plt.show() windows11+powershell PS D:\github\OneFLOW\example\2d-poisson\multigrid\04>...
comprised of generalized saddle point blocks. Our V-cycle GMG preconditioner uses a local Vanka-type smoother. Its action is defined in an exact mathematical way. Due to nonlocal coupling mechanisms of 348 unknowns, the smoother is applied on patches of elements. This ensures damping of higher...
To approximately solve the residual equation given by Eq. (29) a single W-cycle of a standardh-multigrid method [18], using canonical prolongation and weighted restriction, is applied. As the level\(p=1\)corresponds to a low-order Lagrange discretization, anh-multigrid method (using Gauss–...
jacobi_sparse(tol, max_iteration, n_w_dof, Wss, Wss_tmp, Lw_val, Lw_col_ind, Lw_row_ptr, W, Er, Rw); // v_cycle( n_u_dof, nx-1, ny, nz, hx2i, hy2i, hz2i, // tol, max_iteration, pre_smooth_iteration, // lx, ly, lz, 0, max_level, Fu, Er); // cleanup ...
在前面的基础上: 迦非喵:1d+Poisson Equation+multigrid+V-Cycle Scheme (level 1)简单测试1 赞同 · 0 评论文章 这里继续重构: 参考: Textbook:A Multigrid Tutorial, Second Edition , by Briggs, Henson & McCormick 及 CFD Julia: A Learning Module Structuring an Introductory Course on Computational Fluid...