共查询到19条相似文献,搜索用时 62 毫秒
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线性抛物型方程的多重网格方法蔚喜军(北京应用物理与计算数学研究所,计算物理实验室)MULTIGRIDMETHODFORTHELINEARPARABOLICPROBLEM¥YuXi-jun(LaborutoryofComputationalPhysic... 相似文献
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油气藏两相渗流问题的多重网格法 总被引:2,自引:0,他引:2
油气藏数值模拟要解一套高维、非线性、奇异、不定常方程组,工作量很大.本文讨论非线性椭圆-抛物方程的多重网格算法,给出了四重网格计算子程序,并把它用于底水气田计算,与SOR法比较,计算结果完全相同,计算效率显著提高。 相似文献
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本文考虑重调和方程的C0非协调元逼近.通过双线性型ck(u,v)引入的补偿和将多重网格法应用到C0非协调板元,给出了更精确的逼近. 相似文献
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用瀑布型多重网格法解决椭圆、抛物问题,已有不少研究工作[1-2],本文对抛物问题的mortar有限元的全离散格式提出瀑布型多重网格法,证明了该方法是最优的,即具有最优精确度和复杂度. 相似文献
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旋转Q1非协调元的V循环多重网格法 总被引:2,自引:0,他引:2
1.引言近年来,多重网格法已成为行之有效的偏微分方程数值解法,而对非协调元的多重网格法也有众多的研究,例在[1,3]中,作者研究了非协P1元的w循环多重网格法,[10]中,作者研究了*11s。n非协调元的V循环多重网格法.此外在K豆1,12]中,作者研究了板问题非协调有限元的多重网格法.最近,Rannacher和Turek同构造了所谓的QI非协调元,并用该元离散StokeS问题.而在问中,利用该元来计算晶体,数值效果非常好.同时在同中,作者给出了该元的误差估计和超收敛分析.最近,Chen和oswald同又讨论了该元的多重网格法,并证明了W循环… 相似文献
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CASCADIC MULTIGRID METHOD FOR THE MORTAR ELEMENT METHOD FOR P1 NONCONFORMING ELEMENT 总被引:3,自引:0,他引:3
Chun-jia Bi Dan-hui Hong 《计算数学(英文版)》2005,23(4):425-440
In this paper,we consider the cascadic multigrid method for the mortar P_1 noncon-forming element which is used to solve the Poisson equation and prove that the cascadicconjugate gradient method is accurate with optimal complexity. 相似文献
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§1.引言 非协调Wilson有限元[1—3]对解弹性力学方程有实用价值,在工程上有用。本文分析Wilson元的多重网格法,给出用多重网格方法求得的近似解按L~2模和能量模的最佳收敛阶误差估计。对于W-循环,可以证明其计算量与离散空间的维数为同一量级O(N_k)。 考虑二阶椭圆Dirchlet边值问题: 相似文献
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In this paper we study the theoretical properties of multigrid algorithm for discretization of the Poisson equation in 2D using a mortar element method under the assumption that the triangulations on every subdomain are uniform. We prove the convergence of the W-cycle with a sufficiently large number of smoothing steps. The 相似文献
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An anisotropic nonconforming finite element method is presented for a class of nonlinear Sobolev equations. The optimal error estimates and supercloseness are obtained for both semi-discrete and fully-discrete approximate schemes, which are the same as the traditional finite element methods. In addition, the global superconvergence is derived through the postprocessing technique. Numerical experiments are included to illustrate the feasibility of the proposed method. 相似文献
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THE NONCONFORMING FINITE ELEMENT METHOD FOR SIGNORINI PROBLEM 总被引:1,自引:0,他引:1
Dongying Hua LiehengWang 《计算数学(英文版)》2007,25(1):67-80
We present the Crouzeix-Raviart linear nonconforming finite element approximation of the variational inequality resulting from Signorini problem. We show if the displacement field is of H2 regularity, then the convergence rate can be improved from O(h3/4) to quasi-optimal O(h|log h|1/4) with respect to the energy norm as that of the continuous linear finite element approximation. If stronger but reasonable regularity is available, the convergence rate can be improved to the optimal O(h) as expected by the linear approximation. 相似文献
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In this paper, an optimal V-cycle multigrid method for some conforming and nonconforming plate elements are constructed. A new method dealing with nonnested multigrid methods is presented. 相似文献