SUPERCONVERGENCE

作品数：162被引量：486H指数：11
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相关领域：理学更多>>
相关作者：刘会坡严宁宁杨一都陈震王翔更多>>
相关机构：吉林大学中国科学院数学与系统科学研究院贵州师范大学天津财经学院更多>>
相关期刊：《Communications in Nonlinear Science and Numerical Simulation》《Science China Mathematics》《高等学校计算数学学报》《Advances in Applied Mathematics and Mechanics》更多>>
相关基金：国家自然科学基金国家教育部博士点基金国家重点基础研究发展计划中国博士后科学基金更多>>
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ANALYSIS OF TWO ANY ORDER SPECTRAL VOLUME METHODS FOR 1-D LINEAR HYPERBOLIC EQUATIONS WITH DEGENERATE VARIABLE COEFFICIENTS
《Journal of Computational Mathematics》2024年第6期1627-1655,共29页Minqiang Xu Yanting Yuan Waixiang Cao Qingsong Zou 
supported by the NSFC(Grants 92370113,12071496,12271482);Moreover,the first author was also supported by the Zhejiang Provincial NSF(Grant LZ23A010006);by the Key Research Project of Zhejiang Lab(Grant 2022PE0AC01);the fourth author was also supported by the Guangdong Provincial NSF(Grant 2023A1515012097).
In this paper,we analyze two classes of spectral volume(SV)methods for one-dimensional hyperbolic equations with degenerate variable coefficients.Two classes of SV methods are constructed by letting a piecewise k-th o...
关键词：Spectral Volume Methods L^(2)stability Error estimates SUPERCONVERGENCE 
On the superconvergence of a WG method for the elliptic problem with variable coefficients
《Science China Mathematics》2024年第8期1899-1910,共12页Junping Wang Xiaoshen Wang Xiu Ye Shangyou Zhang Peng Zhu 
supported by U.S.National Science Foundation IR/D program while working at U.S.National Science Foundation;supported by U.S.National Science Foundation(Grant No.DMS-1620016);supported by Zhejiang Provincial Natural Science Foundation of China(Grant No.LY23A010005);National Natural Science Foundation of China(Grant No.12071184)。
This article extends a recently developed superconvergence result for weak Galerkin(WG)approximations for modeling partial differential equations from constant coefficients to variable coefficients.This superconvergen...
关键词：weak Galerkin finite element methods SUPERCONVERGENCE second-order elliptic problems stabilizerfree 
Superconvergence of Direct Discontinuous Galerkin Methods:Eigen-structure Analysis Based on Fourier Approach
《Communications on Applied Mathematics and Computation》2024年第1期257-278,共22页Xuechun Liu Haijin Wang Jue Yan Xinghui Zhong 
supported by the National Natural Science Foundation of China(Grant Nos.11871428 and 12071214);the Natural Science Foundation for Colleges and Universities of Jiangsu Province of China(Grant No.20KJB110011);supported by the National Science Foundation(Grant No.DMS-1620335)and the Simons Foundation(Grant No.637716);supported by the National Natural Science Foundation of China(Grant Nos.11871428 and 12272347).
This paper investigates superconvergence properties of the direct discontinuous Galerkin(DDG)method with interface corrections and the symmetric DDG method for diffusion equations.We apply the Fourier analysis techniq...
关键词：Direct discontinuous Galerkin(DDG)method with interface correction Symmetric DDG method SUPERCONVERGENCE Fourier analysis Eigen-structure 
A Hessian Recovery Based Linear Finite Element Method for Molecular Beam Epitaxy Growth Model with Slope Selection
《Advances in Applied Mathematics and Mechanics》2024年第1期1-23,共23页Minqiang Xu Qingsong Zou 
supported by General Scientific Research Projects of Zhejiang Education Department(No.Y202147013);the Opening Project of Guangdong Province Key Laboratory of Computational Science at the Sun Yat-Sen University(No.2021008);supported in part by NSFC Grant(No.12071496);Guangdong Province Key Laboratory of Computational Science at the Sun Yat-sen University(No.2020B1212060032)。
In this paper,we present a Hessian recovery based linear finite element method to simulate the molecular beam epitaxy growth model with slope selection.For the time discretization,we apply a first-order convex splitti...
关键词：Molecular beam epitaxy Hessian recovery linear finite element method superconvergence. 
Superconvergence Analysis of C^(m)Finite Element Methods for Fourth-Order Elliptic Equations I:One Dimensional Case
《Communications in Computational Physics》2023年第5期1466-1508,共43页Waixiang Cao Lueling Jia Zhimin Zhang 
This work is supported in part by the National Natural Science Foundation of China under grants No.12271049,12101035,12131005,U1930402.
In this paper,we study three families of C^(m)(m=0,1,2)finite element methods for one dimensional fourth-order equations.They include C^(0)and C1 Galerkin methods and a C^(2)-C^(0)Petrov-Galerkin method.Existence,uniq...
关键词：C^(m)finite element methods SUPERCONVERGENCE fourth-order elliptic equations 
Unconditional Superconvergence Analysis of Energy Conserving Finite Element Methods for the Nonlinear Coupled Klein-Gordon Equations
《Advances in Applied Mathematics and Mechanics》2023年第3期602-622,共21页Ming Cui Yanfei Li Changhui Yao 
The work is supported by the National Natural Science Foundation of China(No.11871441);Beijing Natural Science Foundation(No.1192003).
In this paper,we consider the energy conserving numerical scheme for coupled nonlinear Klein-Gordon equations.We propose energy conserving finite element method and get the unconditional superconvergence resultO(h^(2)...
关键词：Energy conserving the nonlinear coupled Klein-Gordon equations unconditional superconvergence result postprocessing interpolation finite element method 
New Superconvergent Structures with Optional Superconvergent Points for the Finite Volume Element Method
《Communications in Computational Physics》2023年第5期1332-1356,共25页XiangWang Yuqing Zhang Zhimin Zhang 
This work is supported in part by the National Natural Science Foundation of China under grants 11701211,11871092,12131005;the China Postdoctoral Science Foundation under grant 2021M690437。
New superconvergent structures are proposed and analyzed for the finite volume element(FVE)method over tensorial meshes in general dimension d(for d≥2);we call these orthogonal superconvergent structures.In this fram...
关键词：SUPERCONVERGENCE finite volume orthogonality condition tensorial mesh rectangular mesh 
SUPERCONVERGENCE ANALYSIS OF A BDF-GALERKIN FEM FOR THE NONLINEAR KLEIN-GORDON-SCHRODINGER EQUATIONS WITH DAMPING MECHANISM
《Journal of Computational Mathematics》2023年第2期224-245,共22页Dongyang Shi Houchao Zhang 
supported by the National Natural Science Foundation of China(No.11671369,No.12071443);Key Scientific Research Project of Colleges and Universities in Henan Province(No.20B110013).
The focus of this paper is on a linearized backward differential formula(BDF)scheme with Galerkin FEM for the nonlinear Klein-Gordon-Schrödinger equations(KGSEs)with damping mechanism.Optimal error estimates and super...
关键词：KGSEs with damping mechanism Linearized BDF Galerkin FEM Optimal error estimates SUPERCONVERGENCE 
Coarse Mesh Superconvergence in Isogeometric Frequency Analysis of Mindlin–Reissner Plates with Reduced Integration and Quadratic Splines
《Acta Mechanica Solida Sinica》2022年第6期922-939,共18页Xiaolan Xu Zhiwei Lin Songyang Hou Dongdong Wang 
supported by the National Natural Science Foundation of China (Grant Nos.12072302 and 11772280);the Natural Science Foundation of Fujian Province of China (Grant No.2021J02003).
A frequency accuracy study is presented for the isogeometric free vibration analysis of Mindlin–Reissner plates using reduced integration and quadratic splines,which reveals an interesting coarse mesh superconvergenc...
关键词：Isogeometric analysis Mindlin–Reissner plate Frequency accuracy Quadratic spline Reduced integration Coarse mesh superconvergence 
How to Design a Generic Accuracy-Enhancing Filter for Discontinuous Galerkin Methods
《Communications on Applied Mathematics and Computation》2022年第3期759-782,共24页Xiaozhou Li 
Funding for this work was partially supported by the National Natural Science Foundation of China(NSFC)under Grant no.11801062.
Higher order accuracy is one of the well-known beneficial properties of the discontinu-ous Galerkin(DG)method.Furthermore,many studies have demonstrated the supercon-vergence property of the semi-discrete DG method.On...
关键词：Discontinuous Galerkin method SUPERCONVERGENCE Smoothness-increasing accuracy-conserving(SIAC)filter Convolution filtering POST-PROCESSING 
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