排序方式: 共有8条查询结果,搜索用时 15 毫秒
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L^2-ERROR OF EXTRAPOLATION CASCADIC MULTIGRID (EXCMG) 总被引:1,自引:0,他引:1
Based on an asymptotic expansion of finite element, an extrapolation cascadic multigrid method (EXCMG) is proposed, in which the new extrapolation and quadratic interpolation are used to provide a better initial value on refined grid. In the case of multiple grids, both superconvergence error in H^1-norm and the optimal error in l2-norm are analyzed. The numerical experiment shows the advantage of EXCMG in comparison with CMG. 相似文献
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Mathematical model and numerical method for spontaneous potential log in heterogeneous formations 总被引:1,自引:0,他引:1
This paper introduces a new spontaneous potential log model for the case in which formation resistivity is not piecewise constant. The spontaneous potential satisfies an elliptic boundary value problem with jump conditions on the interfaces. It has beer/ shown that the elliptic interface problem has a unique weak solution. Furthermore, a jump condition capturing finite difference scheme is proposed and applied to solve such elliptic problems. Numerical results show validity and effectiveness of the proposed method. 相似文献
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有理平均逼近应比多项式逼近好,但至今研究很少.本文分析了此问题有奇性,并提出一种新算法:延拓 正则化,则以获得非常好的结果.数值实验也证实了此结论. 相似文献
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非线性方程组的Newton流线法 总被引:2,自引:0,他引:2
为求解非线性方程组F(x)=0, 研究了Newton流方程xt=V(x)=-(DF(x))-1F(x),x(0)=x0,及数值Newton流xj+1=xj+hV(xj),h∈(0,1].导出了减幅指标gj(h)=||F(xj+1)||/||F(xj)||=1-h+h2djh<1和m重根x*附近的表示gj(h)=(1-h/m)m+h2O(||xj-x*||).最后基于4个可计算量gj,dj,Kj,qj,提出了新的Newton流线法,如果投入大量的随机初始点, 能找到所有实根、重根和复根. 相似文献
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