CASCADIC MULTIGRID FOR PARABOLIC PROBLEMS CASCADIC MULTIGRID FOR PARABOLIC PROBLEMS 被引量：18

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摘要 In this paper, we develop the cascadic multigrid method for parabolic problems. The optimal convergence accuracy and computation complexity are obtained. In this paper, we develop the cascadic multigrid method for parabolic problems. The optimal convergence accuracy and computation complexity are obtained.

作者 Zhong-ci Shi, Xue-jun Xu (State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics, Chinese Academy of Sciences, Beijing 100080, China)

出处《Journal of Computational Mathematics》 SCIE CSCD 2000年第5期551-560,共10页 计算数学（英文）

基金 Subeidized by the Special Funds for Major State Basic Research Projects.

关键词 Cascadic multigrid Finite element Parabolic problem. Cascadic multigrid, Finite element, Parabolic problem.

分类号 O241 [理学—计算数学]

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参考文献9

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共引文献9

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同被引文献56

1邹战勇.半线性椭圆型问题Mortar有限元逼近的瀑布型多重网格法[J].数学理论与应用,2006,26(1):39-41. 被引量：4
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5DU Qiang,MING PingBing.Cascadic multigrid methods for parabolic problems[J].Science China Mathematics,2008,51(8):1415-1439. 被引量：7
6Zhong-ciShi,Xue-junXu,Hong-yingMan].CASCADIC MULTIGRID FOR FINITE VOLUME METHODS FOR ELLIPTIC PROBLEMS[J].Journal of Computational Mathematics,2004,22(6):905-920. 被引量：4
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9Chun-jia Bi,Dan-hui Hong.CASCADIC MULTIGRID METHOD FOR THE MORTAR ELEMENT METHOD FOR P1 NONCONFORMING ELEMENT[J].Journal of Computational Mathematics,2005,23(4):425-440. 被引量：4
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引证文献18

1石钟慈,许学军.A new cascadic multigrid[J].Science China Mathematics,2001,44(1):21-30. 被引量：1
2DU Qiang,MING PingBing.Cascadic multigrid methods for parabolic problems[J].Science China Mathematics,2008,51(8):1415-1439. 被引量：7
3周叔子,李荣军.解半线性抛物问题的瀑布型多重网格法[J].湖南大学学报（自然科学版）,2004,31(5):104-105. 被引量：1
4Chun-jia Bi,Dan-hui Hong.CASCADIC MULTIGRID METHOD FOR THE MORTAR ELEMENT METHOD FOR P1 NONCONFORMING ELEMENT[J].Journal of Computational Mathematics,2005,23(4):425-440. 被引量：4
5胡合兴.凹角域抛物问题的瀑布型多重网格法[J].湖南大学学报（自然科学版）,2006,33(5):126-128.
6李郴良,陈传淼,许学军.基于超收敛和外推方法的一类新的瀑布型多重网格方法[J].计算数学,2007,29(4):439-448. 被引量：24
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9李明,李郴良.求解二次Lagrangian有限元方程的瀑布型多重网格法[J].山西大学学报（自然科学版）,2011,34(2):185-189. 被引量：3
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1CHEN ChuanMiao,HU HongLing,XIE ZiQing,LI ChenLiang.Analysis of extrapolation cascadic multigrid method(EXCMG)[J].Science China Mathematics,2008,51(8):1349-1360. 被引量：23
2DU Qiang,MING PingBing.Cascadic multigrid methods for parabolic problems[J].Science China Mathematics,2008,51(8):1415-1439. 被引量：7
3Qian-shunChang,Wei-weiSun.ON CONVERGENCE OF MULTIGRID METHOD FOR NONNEGATIVE DEFINITE SYSTEMS[J].Journal of Computational Mathematics,2005,23(2):177-184.
4Shi, ZC,Xu, XJ.THE MORTAR ELEMENT METHOD FOR A NONLINEAR BIHARMONIC EQUATION[J].Journal of Computational Mathematics,2005,23(5):537-560. 被引量：2
5Chun-jia Bi,Dan-hui Hong.CASCADIC MULTIGRID METHOD FOR THE MORTAR ELEMENT METHOD FOR P1 NONCONFORMING ELEMENT[J].Journal of Computational Mathematics,2005,23(4):425-440. 被引量：4
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8李明,李郴良,匡前义,董晓亮.三次插值在瀑布型多重网格法中的应用[J].桂林电子科技大学学报,2008,28(5):442-445. 被引量：4
9周叔子,史艳华.抛物问题Mortar有限元的瀑布型多重网格法[J].数值计算与计算机应用,2008,29(4):241-250. 被引量：4
10史艳华,王萍莉.带参数的椭圆问题的Mortar有限元的L^2误差估计[J].许昌学院学报,2009,28(2):36-39.

1石钟慈,许学军.A new cascadic multigrid[J].Science China Mathematics,2001,44(1):21-30. 被引量：1
2陈传淼,胡宏伶,谢资清,李郴良.L^2-ERROR OF EXTRAPOLATION CASCADIC MULTIGRID (EXCMG)[J].Acta Mathematica Scientia,2009,29(3):539-551. 被引量：1
3DU Qiang,MING PingBing.Cascadic multigrid methods for parabolic problems[J].Science China Mathematics,2008,51(8):1415-1439. 被引量：7
4CHEN ChuanMiao,HU HongLing,XIE ZiQing,LI ChenLiang.Analysis of extrapolation cascadic multigrid method(EXCMG)[J].Science China Mathematics,2008,51(8):1349-1360. 被引量：23
5Hong-ying Man,Zhong-ci Shi.P1-NONCONFORMING QUADRILATERAL FINITE VOLUME ELEMENT METHOD AND ITS CASCADIC MULTIGRID ALGORITHM FOR ELLIPTIC PROBLEMS[J].Journal of Computational Mathematics,2006,24(1):59-80. 被引量：3
6陈传淼,胡志刚.A SINGLE STEP SCHEME WITH HIGH ACCURACY FOR PARABOLIC PROBLEM[J].Acta Mathematica Scientia,2001,21(2):237-242. 被引量：1
7Dongyang SHI,Wei GONG.A LOW ORDER NONCONFORMING ANISOTROPIC FINITE ELEMENT APPROXIMATION TO PARABOLIC PROBLEM[J].Journal of Systems Science & Complexity,2009,22(3):518-532. 被引量：3
8Zhong-ciShi,Xue-junXu,Hong-yingMan].CASCADIC MULTIGRID FOR FINITE VOLUME METHODS FOR ELLIPTIC PROBLEMS[J].Journal of Computational Mathematics,2004,22(6):905-920. 被引量：4
9Hongling Hu,Chuanmiao Chen,Kejia Pan.TIME-EXTRAPOLATION ALGORITHM （TEA） FOR LINEAR PARABOLIC PROBLEMS[J].Journal of Computational Mathematics,2014,32(2):183-194. 被引量：2
10Xue-junXu,Jin-ruChen.MULTIGRID FOR THE MORTAR FINITE ELEMENT FOR PARABOLIC PROBLEM[J].Journal of Computational Mathematics,2003,21(4):411-420. 被引量：6

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