期刊文献+
共找到14篇文章
< 1 >
每页显示 20 50 100
ON EXTRAPOLATION CASCADIC MULTIGRID METHOD 被引量:11
1
作者 Chuanmiao Chen zhong-ci shi Hongling Hu 《Journal of Computational Mathematics》 SCIE CSCD 2011年第6期684-697,共14页
Based on an asymptotic expansion of (bi)linear finite elements, a new extrapolation formula and extrapolation cascadic multigrid method (EXCMG) are proposed. The key ingredients of the proposed methods are some ne... Based on an asymptotic expansion of (bi)linear finite elements, a new extrapolation formula and extrapolation cascadic multigrid method (EXCMG) are proposed. The key ingredients of the proposed methods are some new extrapolations and quadratic interpolations, which are used to provide better initial values on the refined grid. In the case of triple grids, the errors of the new initial values are analyzed in detail. The numerical experiments show that EXCMG has higher accuracy and efficiency. 展开更多
关键词 Cascadic multigrid Finite element New extrapolation Error analysis.
原文传递
SOME n-RECTANGLE NONCONFORMING ELEMENTS FOR FOURTH ORDER ELLIPTIC EQUATIONS 被引量:15
2
作者 Ming Wang zhong-ci shi Jinchao Xu 《Journal of Computational Mathematics》 SCIE EI CSCD 2007年第4期408-420,共13页
In this paper, three n-rectangle nonconforming elements are proposed with n ≥ 3. They are the extensions of well-known Morley element, Adini element and Bogner-Fox-Schmit element in two spatial dimensions to any high... In this paper, three n-rectangle nonconforming elements are proposed with n ≥ 3. They are the extensions of well-known Morley element, Adini element and Bogner-Fox-Schmit element in two spatial dimensions to any higher dimensions respectively. These elements are all proved to be convergent for a model biharmonic equation in n dimensions. 展开更多
关键词 Nonconforming finite element Forth order elliptic equation Biharmonic.
原文传递
ADAPTIVE QUADRILATERAL AND HEXAHEDRAL FINITE ELEMENT METHODS WITH HANGING NODES AND CONVERGENCE ANALYSIS 被引量:3
3
作者 Xuying Zhao shipeng Mao zhong-ci shi 《Journal of Computational Mathematics》 SCIE CSCD 2010年第5期621-644,共24页
In this paper we study the convergence of adaptive finite element methods for the gen- eral non-attine equivalent quadrilateral and hexahedral elements on 1-irregular meshes with hanging nodes. Based on several basic ... In this paper we study the convergence of adaptive finite element methods for the gen- eral non-attine equivalent quadrilateral and hexahedral elements on 1-irregular meshes with hanging nodes. Based on several basic ingredients, such as quasi-orthogonality, estimator reduction and D6fler marking strategy, convergence of the adaptive finite element methods for the general second-order elliptic partial equations is proved. Our analysis is effective for all conforming Qm elements which covers both the two- and three-dimensional cases in a unified fashion. 展开更多
关键词 Finite element method Adaptive algorithm Hanging node 1-irregular mesh Convergence analysis.
原文传递
P1-NONCONFORMING QUADRILATERAL FINITE VOLUME ELEMENT METHOD AND ITS CASCADIC MULTIGRID ALGORITHM FOR ELLIPTIC PROBLEMS 被引量:3
4
作者 Hong-ying Man zhong-ci shi 《Journal of Computational Mathematics》 SCIE EI CSCD 2006年第1期59-80,共22页
In this paper, we discuss the finite volume element method of P1-nonconforming quadrilateral element for elliptic problems and obtain optimal error estimates for general quadrilateral partition. An optimal cascadic mu... In this paper, we discuss the finite volume element method of P1-nonconforming quadrilateral element for elliptic problems and obtain optimal error estimates for general quadrilateral partition. An optimal cascadic multigrid algorithm is proposed to solve the non-symmetric large-scale system resulting from such discretization. Numerical experiments are reported to support our theoretical results. 展开更多
关键词 finite volume element method cascadic multigrid Elliptic problems
原文传递
A NOTE ON THE QUADRILATERAL MESH CONDITION RDP(N,ψ) 被引量:2
5
作者 Dongyang shi zhong-ci shi Jingzhu Wu 《Journal of Computational Mathematics》 SCIE EI CSCD 2007年第1期27-30,共4页
The main aim of this paper is to show that the quadrilateral mesh condition RDP(N, ψ) is only sufficient but not necessary for the optimal order error estimate of the Q isoparametric element in the Hi norm.
关键词 Isoparametric finite element Optimal order error estimate Quadrilateral meshcondition.
原文传递
MATHEMATICAL ANALYSIS FOR QUADRILATERAL ROTATED Q_1 ELEMENT Ⅱ: POINCARE INEQUALITY AND TRACE INEQUALITY 被引量:2
6
作者 Ping-bing Ming zhong-ci shi 《Journal of Computational Mathematics》 SCIE CSCD 2003年第3期277-286,共10页
This is the second part of the paper for the mathematical study of nonconforming rotated Q1 element (NRQ1 hereafter) on arbitrary quadrilateral meshes. Some Poincare Inequalities are proved without assuming the quasi-... This is the second part of the paper for the mathematical study of nonconforming rotated Q1 element (NRQ1 hereafter) on arbitrary quadrilateral meshes. Some Poincare Inequalities are proved without assuming the quasi-uniformity of the mesh subdivision. A discrete trace inequality is also proved. 展开更多
关键词 Quadrilateral rotated Q1 element Poincare inequality Trace inequality.
原文传递
THE BEST L2 NORM ERROR ESTIMATE OF LOWER ORDER FINITE ELEMENT METHODS FOR THE FOURTH ORDER PROBLEM 被引量:1
7
作者 Jun Hu zhong-ci shi 《Journal of Computational Mathematics》 SCIE CSCD 2012年第5期449-460,共12页
In the paper, we analyze the L2 norm error estimate of lower order finite element methods for the fourth order problem. We prove that the best error estimate in the L2 norm of the finite element solution is of second ... In the paper, we analyze the L2 norm error estimate of lower order finite element methods for the fourth order problem. We prove that the best error estimate in the L2 norm of the finite element solution is of second order, which can not be improved generally. The main ingredients are the saturation condition established for these elements and an identity for the error in the energy norm of the finite element solution. The result holds for most of the popular lower order finite element methods in the literature including: the Powell-Sabin C1 -P2 macro element, the nonconforming Morley element, the C1 -Q2 macro element, the nonconforming rectangle Morley element, and the nonconforming incomplete biquadratic element. In addition, the result actually applies to the nonconforming Adini element, the nonconforming Fraeijs de Veubeke elements, and the nonconforming Wang- Xu element and the Wang-Shi-Xu element provided that the saturation condition holds for them. This result solves one long standing problem in the literature: can the L2 norm error estimate of lower order finite element methods of the fourth order problem be two order higher than the error estimate in the energy norm? 展开更多
关键词 L2 norm error estimate Energy norm error estimate Conforming Noncon-forming The Kirchhoff plate.
原文传递
Hexahedral constraint-free finite element method on meshes with hanging nodes
8
作者 Xuying Zhao zhong-ci shi 《Science China Mathematics》 SCIE CSCD 2019年第12期2591-2616,共26页
Nonconforming grids with hanging nodes are frequently used in adaptive finite element comput at ions.In all earlier works on such methods,proper cons train ts should be enforced on degrees of freedom on edges/faces wi... Nonconforming grids with hanging nodes are frequently used in adaptive finite element comput at ions.In all earlier works on such methods,proper cons train ts should be enforced on degrees of freedom on edges/faces with hanging nodes to keep continuity,which yield numerical computations much complicated.In 2014,Zhao et al.(2014)presented quadrilateral constraint-free finite element methods on quadrilateral grids with hanging nodes.This paper further develops a hexahedral constraint-free finite element method on hexahedral grids with hanging nodes,which is of greater challenge than the two-dimensional case.Residual-based a posteriori error reliability and efficiency are also established in this paper. 展开更多
关键词 adaptive finite ELEMENT a POSTERIORI error estimate hexahedral NONCONFORMING ELEMENT hangingnode
原文传递
Preface
9
作者 zhong-ci shi 《Science China Mathematics》 SCIE 2008年第8期1338-1338,共1页
The Eighth National Conference on Computational Mathematics was held at Sichuan University from October25to29,2007.About400researchers attended the conference,exchanging ideas and introducing their most recent work.Pl... The Eighth National Conference on Computational Mathematics was held at Sichuan University from October25to29,2007.About400researchers attended the conference,exchanging ideas and introducing their most recent work.Plenary addresses were given by eleven leading computational mathematicians.Conference sessions covered such diverse topics in 展开更多
关键词 EXCHANGING diverse eleven introducing attended MATHEMATICS PREFACE sincerely COVERED carefully
原文传递
REMARKS ON ERROR ESTIMATES FOR THE TRUNC PLATE ELEMENT
10
作者 Ling Guo Jian-guo Huang zhong-ci shi 《Journal of Computational Mathematics》 SCIE CSCD 2006年第1期103-112,共10页
This paper provides a simplified derivation for error estimates of the TRUNC plate element. The error analysis for the problem with mixed boundary conditions is also discussed.
关键词 Plate bending problems TRUNC element Error estimates
原文传递
THE GENERALIZED MAXIMUM ANGLE CONDITION FOR THE Q1 ISOPARAMETRIC ELEMENT
11
作者 Jun Hu zhong-ci shi 《Journal of Computational Mathematics》 SCIE CSCD 2006年第1期1-8,共8页
We consider the quadrilateral Q1 isoparametric element and establish an optimal error estimate in H^1 norm for the interpolation operator under a weaker mesh condition which admits anisotropic quadrilaterals and allow... We consider the quadrilateral Q1 isoparametric element and establish an optimal error estimate in H^1 norm for the interpolation operator under a weaker mesh condition which admits anisotropic quadrilaterals and allows the quadrilateral to become a regular triangle in the sense of maximum angle condition [5, 11]. 展开更多
关键词 Quadrilateral mesh Q1 isoparametric element Generalized maximum angle condition
原文传递
Preface
12
作者 Gang Bao Zhiming Chen +1 位作者 zhong-ci shi Bo Zhang 《Journal of Computational Mathematics》 SCIE CSCD 2007年第3期243-243,共1页
The special issue grows from the international workshop on Recent Mathematical and Com- putational Developments of Maxwell's Equations: Challenges and Frontiers held in Weihai, China, July 24-28, 2006. The workshop ... The special issue grows from the international workshop on Recent Mathematical and Com- putational Developments of Maxwell's Equations: Challenges and Frontiers held in Weihai, China, July 24-28, 2006. The workshop was successful to bring together researchers in 展开更多
关键词 PREFACES MAXWELL equations
原文传递
Preface
13
作者 Zhiming Chen zhong-ci shi +1 位作者 Chi-Wang Shu Tao Tang 《Communications in Computational Physics》 SCIE 2009年第2期I0001-I0002,共2页
We present in this special issue of Communications in Computational Physics selected papers from the seventh ICOSAHOM(International Conference On Spectral And High Order Methods)which was held at the Institute for Com... We present in this special issue of Communications in Computational Physics selected papers from the seventh ICOSAHOM(International Conference On Spectral And High Order Methods)which was held at the Institute for Computational Mathematics and Scientific/Engineering Computing,Chinese Academy of Sciences,Beijing,China,during June 18-22,2007.These papers were refereed by members of the scientific committee of ICOSAHOM,editors of Communications in Computational Physics and other scientists following the same refereeing procedure as that for regular CiCP manuscripts. 展开更多
关键词 COMMITTEE PREFACE SPECTRAL
原文传递
Optimal L_∞ Estimates for Galerkin Methods for Nonlinear Singular Two-point Boundary Value Problems
14
作者 Xu ZHANG zhong-ci shi 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2015年第3期719-728,共10页
In this paper, we apply the symmetric Galerkin methods to the numerical solutions of a kind of singular linear two-point boundary value problems. We estimate the error in the maximum norm. For the sake of obtaining fu... In this paper, we apply the symmetric Galerkin methods to the numerical solutions of a kind of singular linear two-point boundary value problems. We estimate the error in the maximum norm. For the sake of obtaining full superconvergence uniformly at all nodal points, we introduce local mesh refinements. Then we extend these results to a class of nonlinear problems. Finally, we present some numerical results which confirm our theoretical conclusions. 展开更多
关键词 singular two-point boundary value problems symmetric Galerkin method maximum norm error estimate superconvergence local mesh refinement
原文传递
上一页 1 下一页 到第
使用帮助 返回顶部