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1. Reduced-order finite element method based on POD for fractional Tricomi-type equation EI SCIE SCOPUS 期刊论文 认领

作者:Liu, JC;Li, H;Liu, Y;Fang, ZC

作者全称:Liu, Jincun;Li, Hong;Liu, Yang;Fang, Zhichao

作者机构:[Liu, Jincun; Li, Hong; Liu, Yang; Fang, Zhichao] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China.

第一署名单位:[Liu, Jincun; Li, Hong; Liu, Yang; Fang, Zhichao] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China.

第一作者:Liu, Jincun

通讯作者:Li, Hong(malhong@imu.edu.cn)

通讯作者地址:Li, H (reprint author), Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China.

来源:APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,2016,Vol.37,Issue.5

基金:National Natural Science Foundation of China [11361035, 11301258];; Natural Science Foundation of Inner Mongolia [2012MS0106, 2012MS0108]

JCR分区:MATHEMATICS, APPLIED为Q1;MECHANICS为Q3

中科院分区:大类数学3区;小类应用数学3区;小类力学4区

(JCR)当年影响因子:1.538

(JCR)5年影响因子:1.525

ESI学科:ENGINEERING

关键词:reduced-order finite element method (FEM); proper orthogonal; decomposition (POD); fractional Tricomi-type equation; unconditionally; stable; error estimate

摘要:The reduced-order finite element method (FEM) based on a proper orthogonal decomposition (POD) theory is applied to the time fractional Tricomi-type e 更多

2. Application of low-dimensional finite element method to fractional diffusion equation SCOPUS EI 期刊论文 认领

作者:Liu J.;Li H.;Fang Z.;Liu Y.

作者全称:Liu, Jincun;Li, Hong;Fang, Zhichao;Liu, Yang

作者机构:[Liu, Jincun ;Li, Hong ;Fang, Zhichao ;Liu, Yang ] School of Mathematical Sciences, Inner Mongolia University, Hohhot, China

第一作者:Liu, Jincun

通讯作者:Liu, Jincun

通讯作者地址:Liu, J.; School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, P. R. China电子邮件: jcliu@imu.edu.cn;Liu, J.; School of Mathematical Sciences, Inner Mongolia UniversityChina

来源:International Journal of Modeling, Simulation, and Scientific Computing,2014,Vol.5,Issue.4

SCOPUS被引频次:1

教育部学科:数学,控制科学与工程,软件工程,计算机科学与技术

摘要:Classical finite element method (FEM) has been applied to solve some fractional differential equations, but its scheme has too many degrees of freedom 更多

3. An expanded mixed covolume element method for integro-differential equation of Sobolev type on triangular grids SCIE SCOPUS 期刊论文 认领

作者:Fang, ZC;Li, H;Liu, Y;He, S

作者全称:Fang, Zhichao;Li, Hong;Liu, Yang;He, Siriguleng

作者机构:[Fang, Zhichao; Li, Hong; Liu, Yang; He, Siriguleng] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China.

第一署名单位:[Fang, Zhichao; Li, Hong; Liu, Yang; He, Siriguleng] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China.

第一作者:Fang, Zhichao

通讯作者:Fang, ZC

通讯作者地址:Fang, ZC (reprint author), Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China.

来源:ADVANCES IN DIFFERENCE EQUATIONS,2017,Vol.2017,Issue.1

基金:National Natural Science Fund of China [11661058, 11361035, 11501311]; Natural Science Fund of Inner Mongolia Autonomous Region [2016BS0105, 2016MS0102, 2017MS0107]; Scientific Research Projection of Higher Schools of Inner Mongolia [NJZY14013]; Program of Higher-Level Talents of Inner Mongolia University [30105-135127]

JCR分区:MATHEMATICS为Q1;MATHEMATICS, APPLIED为Q2

中科院分区:大类数学4区;小类数学4区;小类应用数学4区

(JCR)当年影响因子:1.066

(JCR)5年影响因子:1.095

ESI学科:MATHEMATICS

教育部学科:数学

关键词:integro-differential equation of Sobolev type; expanded mixed covolume element method; optimal a priori error estimate

摘要:The expanded mixed covolume Element (EMCVE) method is studied for the two-dimensional integro-differential equation of Sobolev type. We use a piecewis 更多

4. Local discontinuous Galerkin method for a nonlinear time-fractional fourth-order partial differential equation SCIE SCOPUS 期刊论文 认领

作者:Du, YW;Liu, Y;Li, H;Fang, ZC;He, S

作者全称:Du, Yanwei;Liu, Yang;Li, Hong;Fang, Zhichao;He, Siriguleng

作者机构:[Du, Yanwei; Liu, Yang; Li, Hong; Fang, Zhichao; He, Siriguleng] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China.

第一署名单位:[Du, Yanwei; Liu, Yang; Li, Hong; Fang, Zhichao; He, Siriguleng] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China.

第一作者:Du, Yanwei

通讯作者:Liu, Y

通讯作者地址:Liu, Y (reprint author), Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China.

来源:JOURNAL OF COMPUTATIONAL PHYSICS,2017,Vol.344

基金:National Natural Science Foundation of China [11661058, 11361035, 11501311]; Natural Science Fund of Inner Mongolia Autonomous Region [2014BS0101]; Scientific Research Projection of Higher Schools of Inner Mongolia [NJZZ12011, NJZY14013]

JCR分区:COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS为Q2;PHYSICS, MATHEMATICAL为Q1

中科院分区:大类物理2区;小类计算机:跨学科应用2区;小类物理:数学物理1区

(JCR)当年影响因子:2.864

(JCR)5年影响因子:3.186

SCOPUS被引频次:5

ESI学科:PHYSICS

教育部学科:光学工程,物理学,电子科学与技术,船舶与海洋工程

关键词:Nonlinear time-fractional fourth-order problem; WSGD scheme; LDG method; High-order scheme; Caputo fractional derivative

摘要:In this article, a fully discrete local discontinuous Galerkin (LDG) method with high-order temporal convergence rate is presented and developed to lo 更多

5. A reduced-order LSMFE formulation based on POD method and implementation of algorithm for parabolic equations EI SCIE SCOPUS 期刊论文 认领

作者:Luo, ZD;Li, H;Shang, YQ;Fang, ZC

作者全称:Luo, Zhendong;Li, Hong;Shang, Yueqiang;Fang, Zhichao

作者机构:[Luo, Zhendong] N China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China.; [Li, Hong; Fang, Zhichao] Inner Mongolia Univ, Sch Math 更多

第一作者:Luo, Zhendong

通讯作者:Luo, Z.(zhdluo@163.com)

通讯作者地址:Luo, ZD (reprint author), N China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China.

来源:FINITE ELEMENTS IN ANALYSIS AND DESIGN,2012,Vol.60

基金:National Science Foundation of China [11061009, 11061021]; Natural; Science Foundation of Hebei Province [A2010001663]; Science Research; Program of Guizhou [GJ[2011]2367]; Science Research Program of Inner; Mongolia Advanced Education [NJ10006]

JCR分区:MATHEMATICS, APPLIED为Q1;MECHANICS为Q2

中科院分区:大类工程技术3区;小类应用数学2区;小类力学2区

(JCR)当年影响因子:2.253

(JCR)5年影响因子:2.701

WOS被引频次:6

SCOPUS被引频次:4

ESI学科:ENGINEERING

教育部学科:测绘科学与技术,数学,光学工程,力学,控制科学与工程

关键词:Proper orthogonal decomposition; Least-squares method; Mixed finite; element formulation; Error estimate; Parabolic equation

摘要:Proper orthogonal decomposition (POD) technology has been successfully used in the reduced-order modeling of complex systems. In this paper, we extend 更多

6. A new expanded mixed method for parabolic integro-differential equations EI SCIE SCOPUS 期刊论文 认领

作者:Liu, Y;Fang, ZC;Li, H;He, S;Gao, W

作者全称:Liu, Yang;Fang, Zhichao;Li, Hong;He, Siriguleng;Gao, Wei

作者机构:[Liu, Yang; Fang, Zhichao; Li, Hong; He, Siriguleng; Gao, Wei] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China.

第一署名单位:[Liu, Yang; Fang, Zhichao; Li, Hong; He, Siriguleng; Gao, Wei] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China.

第一作者:Liu, Yang

通讯作者:Liu, Yang

通讯作者地址:Liu, Y (reprint author), Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China.

来源:APPLIED MATHEMATICS AND COMPUTATION,2015,Vol.259

基金:National Natural Science Fund [11301258, 11361035]; Natural Science Fund; of Inner Mongolia Autonomous Region [2012MS0108, 2012MS0106,; 2014BS0101]; Scientific Research Projection of Higher Schools of Inner; Mongolia [NJZZ12011, NJZY14013]; Key Project of Chinese Ministry of; Education [12024]; Program of Higher-Level Talents of Inner Mongolia; University [30105-135127]

JCR分区:MATHEMATICS, APPLIED为Q1

中科院分区:大类数学2区;小类应用数学2区

(JCR)当年影响因子:2.3

(JCR)5年影响因子:2.108

WOS被引频次:1

ESI学科:MATHEMATICS

教育部学科:数学,统计学

关键词:New expanded mixed method; Parabolic integro-differential equations; New; expanded mixed projection; Backward Euler scheme; Error estimates

摘要:A new expanded mixed scheme is studied and analyzed for linear parabolic integro-differential equations. The proposed method's gradient belongs to the 更多

7. A mixed finite element method for a time-fractional fourth-order partial differential equation EI SCIE SCOPUS 期刊论文 认领

作者:Liu, Y;Fang, ZC;Li, H;He, S

作者全称:Liu, Yang;Fang, Zhichao;Li, Hong;He, Siriguleng

作者机构:[Liu, Yang; Fang, Zhichao; Li, Hong; He, Siriguleng] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China.

第一署名单位:[Liu, Yang; Fang, Zhichao; Li, Hong; He, Siriguleng] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China.

第一作者:Liu, Yang

通讯作者:Liu, Y.(mathliuyang@aliyun.com)

通讯作者地址:Liu, Y (reprint author), Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China.

来源:APPLIED MATHEMATICS AND COMPUTATION,2014,Vol.243

基金:National Natural Science Fund [11301258, 11361035]; Natural Science Fund; of Inner Mongolia Autonomous Region [2012MS0108, 2012MS0106]; Scientific; Research Projection of Higher Schools of Inner Mongolia [NJZZ12011,; NJZY13199, NJZY14013]

JCR分区:MATHEMATICS, APPLIED为Q1

中科院分区:大类数学2区;小类应用数学2区

(JCR)当年影响因子:2.3

(JCR)5年影响因子:2.108

WOS被引频次:24

SCOPUS被引频次:15

ESI学科:MATHEMATICS

教育部学科:数学,统计学

关键词:Time-fractional fourth-order PDE; Mixed finite element method;; Caputo-fractional derivative; Finite difference scheme; Stability; A; priori error estimates

摘要:In this paper, a numerical theory based on the mixed finite element method for a time-fractional fourth-order partial differential equation (PDE) is p 更多

8. A New Mixed Element Method for a Class of Time-Fractional Partial Differential Equations SCIE SCOPUS PubMed 期刊论文 认领

作者:Liu, Y;Li, H;Gao, W;He, SRGL;Fang, ZC

作者全称:Liu, Yang;Li, Hong;Gao, Wei;He, Siriguleng;Fang, Zhichao

作者机构:[Liu, Yang; Li, Hong; Gao, Wei; He, Siriguleng; Fang, Zhichao] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China.

第一署名单位:[Liu, Yang; Li, Hong; Gao, Wei; He, Siriguleng; Fang, Zhichao] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China.

第一作者:Liu, Yang

通讯作者:Liu, Y

通讯作者地址:Liu, Y (reprint author), Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China.

来源:SCIENTIFIC WORLD JOURNAL,2014,Vol.2014

基金:National Natural Science Fund [11301258, 11361035]; Chinese Ministry of; Education [12024]; Natural Science Fund of Inner Mongolia Autonomous; Region [2012MS0108, 2012MS0106, 2011BS0102]; Scientific Research; Projection of Higher Schools of Inner Mongolia [NJZZ12011, NJZY13199];; Program of Higher-Level Talents of Inner Mongolia University [125119,; 30105-125132]

SCOPUS被引频次:2

摘要:A kind of new mixed element method for time-fractional partial differential equations is studied. The Caputo-fractional derivative of time direction i 更多

9. A new characteristic expanded mixed method for Sobolev equation with convection term SCOPUS EI 期刊论文 认领

作者:Liu Y.;Li H.;He S.;Fang Z.;Wang J.

作者全称:Liu, Yang;Li, Hong;He, Siriguleng;Fang, Zhichao;Wang, Jinfeng

作者机构:[Liu, Yang ;Li, Hong ;He, Siriguleng ;Fang, Zhichao ] School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China;[Wang, Jinfeng 更多

第一作者:Liu, Yang

通讯作者:Liu, Y.(mathliuyang@aliyun.com)

通讯作者地址:Liu, Y.; School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China; 电子邮件: mathliuyang@aliyun.com

来源:International Journal of Modeling, Simulation, and Scientific Computing,2014,Vol.5,Issue.1

教育部学科:数学,控制科学与工程,软件工程,计算机科学与技术

摘要:In this paper, a new numerical method based on a new expanded mixed scheme and the characteristic method is developed and discussed for Sobolev equati 更多

10. A coupling method based on new MFE and FE for fourth-order parabolic equation SCOPUS EI 期刊论文 认领

作者:Liu Y.;Fang Z.;Li H.;He S.;Gao W.

作者全称:Liu, Yang;Fang, Zhichao;Li, Hong;He, Siriguleng;Gao, Wei

作者机构:[Liu, Yang ;Fang, Zhichao ;Li, Hong ;He, Siriguleng ;Gao, Wei ] School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China

第一作者:Liu, Yang

通讯作者:Liu, Y.(mathliuyang@yahoo.cn)

通讯作者地址:Liu, Y.; School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China; 电子邮件: mathliuyang@yahoo.cn

来源:Journal of Applied Mathematics and Computing,2013,Vol.43,Issue.1-2

SCOPUS被引频次:1

摘要:In this article, a coupling method of new mixed finite element (MFE) and finite element (FE) is proposed and analyzed for fourth-order parabolic parti 更多

11. A New Expanded Mixed Element Method for Convection-Dominated Sobolev Equation SCIE SCOPUS PubMed 期刊论文 认领

作者:Wang, JF;Liu, Y;Li, H;Fang, ZC

作者全称:Wang, Jinfeng;Liu, Yang;Li, Hong;Fang, Zhichao

作者机构:[Wang, Jinfeng] Inner Mongolia Univ Finance & Econ, Sch Math & Stat, Hohhot 010070, Peoples R China.; [Liu, Yang; Li, Hong; Fang, Zhichao] Inner Mon 更多

第一署名单位:[Wang, Jinfeng] Inner Mongolia Univ Finance & Econ, Sch Math & Stat, Hohhot 010070, Peoples R China.

第一作者:Wang, Jinfeng

通讯作者:Liu, Y

通讯作者地址:Liu, Y (reprint author), Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China.

来源:SCIENTIFIC WORLD JOURNAL,2014,Vol.2014

基金:National Natural Science Fund [11061021, 11301258, 11361035]; Natural; Science Fund of Inner Mongolia Autonomous Region [2012MS0108,; 2012MS0106]; Scientific Research Projection of Higher Schools of Inner; Mongolia [NJZZ12011, NJZY13199]

SCOPUS被引频次:1

摘要:We propose and analyze a new expanded mixed element method, whose gradient belongs to the simple square integrable space instead of the classical H(di 更多

12. An expanded mixed covolume method for sobolev equation with convection term on triangular grids EI SCIE SCOPUS 期刊论文 认领

作者:Fang, ZC;Li, H

作者全称:Fang, Zhichao;Li, Hong

作者机构:[Fang, Zhichao; Li, Hong] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China.

第一署名单位:[Fang, Zhichao; Li, Hong] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China.

第一作者:Fang, Zhichao

通讯作者:Li, H.(malhong@imu.edu.cn)

通讯作者地址:Li, H (reprint author), Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China.

来源:NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS,2013,Vol.29,Issue.4

基金:National Natural Science Funds of China [11061021]; Science Research of; Inner Mongolia Advanced Education [NJ10006, NJ10016, NJZZ12011]; Natural; Science Foundation of Inner Mongolia Province [2011BS0102, 2012MS0106];; Innovative Talents Training Program of Inner Mongolia University; [2-1.2.1-130]

JCR分区:MATHEMATICS, APPLIED为Q2

中科院分区:大类数学3区;小类应用数学3区

(JCR)当年影响因子:1.305

(JCR)5年影响因子:1.334

WOS被引频次:4

SCOPUS被引频次:2

ESI学科:ENGINEERING

关键词:Sobolev equation; mixed covolume method; expanded mixed covolume method;; Raviart-Thomas spaces; optimal error estimate

摘要:The expanded mixed covolume method for the two-dimensional Sobolev equation with convection term is developed and studied. This method uses the lowest 更多

13. Numerical solutions to regularized long wave equation based on mixed covolume method EI SCIE SCOPUS 期刊论文 认领

作者:Fang, ZC;Li, H

作者全称:Fang, Zhi-chao;Li, Hong

作者机构:[Fang, Zhi-chao; Li, Hong] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China.

第一署名单位:[Fang, Zhi-chao; Li, Hong] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China.

第一作者:Fang, Zhi-chao

通讯作者:Li, H.(smslh@imu.edu.cn)

通讯作者地址:Li, H (reprint author), Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China.

来源:APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,2013,Vol.34,Issue.7

基金:National Natural Science Fundation of China [11061021]; Science Research; of Inner Mongolia Advanced Education [NJ10006, NJ10016, NJZZ12011];; National Science Foundation of Inner Mongolia [2011BS0102, 2012MS0106]

JCR分区:MATHEMATICS, APPLIED为Q1;MECHANICS为Q3

中科院分区:大类数学3区;小类应用数学3区;小类力学4区

(JCR)当年影响因子:1.538

(JCR)5年影响因子:1.525

WOS被引频次:1

SCOPUS被引频次:1

ESI学科:ENGINEERING

关键词:regularized long wave equation; mixed covolume method; fully discrete;; optimal error estimate

摘要:The mixed covolume method for the regularized long wave equation is developed and studied. By introducing a transfer operator gamma (h) , which maps t 更多

14. A Coupling Method of New EMFE and FE for Fourth-Order Partial Differential Equation of Parabolic Type SCIE SCOPUS 期刊论文 认领

作者:Liu, Y;Li, H;Fang, ZC;He, SGL;Wang, JF

作者全称:Liu, Yang;Li, Hong;Fang, Zhichao;He, Siriguleng;Wang, Jinfeng

作者机构:[Liu, Yang; Li, Hong; Fang, Zhichao; He, Siriguleng] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China.; [Wang, Jinfeng] Inner Mongo 更多

第一署名单位:[Liu, Yang; Li, Hong; Fang, Zhichao; He, Siriguleng] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China.

第一作者:Liu, Yang

通讯作者:Liu, Y

通讯作者地址:Liu, Y (reprint author), Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China.

来源:ADVANCES IN MATHEMATICAL PHYSICS,2013

基金:National Natural Science Fund [11061021]; Natural Science Fund of Inner; Mongolia Autonomous Region [2012MS0108, 2012MS0106]; Scientific Research; Projection of Higher Schools of Inner Mongolia [NJZZ12011, NJ10006,; NJZY13199]; Program of Higher-level talents of Inner Mongolia University; [125119, 30105-125132]

JCR分区:PHYSICS, MATHEMATICAL为Q4

中科院分区:大类物理4区;小类物理:数学物理4区

(JCR)当年影响因子:0.71

(JCR)5年影响因子:0.946

WOS被引频次:59

SCOPUS被引频次:2

ESI学科:PHYSICS

教育部学科:光学工程,物理学,电子科学与技术,船舶与海洋工程

摘要:We propose and analyze a new numerical method, called a coupling method based on a new expanded mixed finite element (EMFE) and finite element (FE), f 更多

15. A splitting mixed space-time discontinuous Galerkin method for parabolic problems CPCI-S 会议论文 认领

作者:He, SG;Li, H;Liu, Y;Fang, ZC;Yang, JB;Jia, XB

作者全称:He, Siriguleng;Li, Hong;Liu, Yang;Fang, Zhichao;Yang, Jingbo;Jia, Xianbiao

作者机构:[He, Siriguleng; Li, Hong; Liu, Yang; Fang, Zhichao; Yang, Jingbo; Jia, Xianbiao] Inner Mongolia Univ China, Sch Math Sci, Hohhot 010021, Peoples R Ch 更多

第一作者:He, Siriguleng

通讯作者:Li, H

通讯作者地址:Li, H (reprint author), Inner Mongolia Univ China, Sch Math Sci, Hohhot 010021, Peoples R China.

会议名称:International Conference on Advances in Computational Modeling and; Simulation (ACMS)

会议日期:DEC 14-16, 2011

来源:INTERNATIONAL CONFERENCE ON ADVANCES IN COMPUTATIONAL MODELING AND/ SIMULATION,2012,Vol.31

WOS被引频次:1

教育部学科:数学,计算机科学与技术,控制科学与工程,软件工程

关键词:space-time discontinuous Galerkin method; splitting mixed method;; parabolic problem; error estimates

摘要:A splitting mixed space-time discontinuous Galerkin method is formulated to solve a class of parabolic problems. This method, in which the stress equa 更多

16. Sobolev方程的CN全离散化有限元格式) CSCD 北大核心刊 期刊论文 认领

作者:李宏;周文文;方志朝

外文作者:Li Hong;Zhou Wenwen;Fang Zhichao

第一作者:李宏

作者机构:[李宏]内蒙古大学数学科学学院, 呼和浩特, 内蒙古 010021, 中国.;[周文文]内蒙古大学数学科学学院, 呼和浩特, 内蒙古 010021, 中国.;[方志朝]内蒙古大学数学科学 更多

来源:计算数学,2013,Vol.35,Issue.1

基金:国家自然科学基金项目; 内蒙古自治区高等学校研究项目; 内蒙古自然科学基金项目

CSCD被引频次:1

知网综合影响因子:0.706

知网复合影响因子:0.897

关键词:时间二阶精度; 时间半离散Crank-Nicolson格式; Sobolev方程; 有限元方法; 误差分析

摘要:首先给出Sobolev方程关于时间二阶精度的Crank-Nicolson(CN)时间半离散格式,然后直接从时间二阶精度的CN时间半离散格式出发,; 构造CN全离散化的有限元格式,并给 更多

17. 四阶抛物偏微分方程的H~1-Galerkin混合元方法及数值模拟 CSCD 北大核心刊 期刊论文 认领

作者:刘洋;李宏;何斯日古楞;高巍;方志朝

外文作者:Liu Yang;Li Hong;He Siriguleng;Gao Wei;Fang Zhichao

第一作者:刘洋

作者机构:[刘洋]内蒙古大学数学科学学院, 呼和浩特, 内蒙古 010021, 中国.;[李宏]内蒙古大学数学科学学院, 呼和浩特, 内蒙古 010021, 中国.;[何斯日古楞]内蒙古大学数学科 更多

来源:计算数学,2012,Vol.34,Issue.3

基金:国家自然科学基金; 内蒙古自治区高等学校科学研究基金; 内蒙古大学高层次人才引进科研项目; 内蒙古大学青年科学基金

CSCD被引频次:5

知网综合影响因子:0.706

知网复合影响因子:0.897

关键词:四阶抛物偏微分方程; H~1-Galerkin混合元方法; 稳定性; 最优阶误差估计

摘要:到目前为止,H~1-Galerkin混合有限元方法研究的问题仅局限于二阶发展方程.然而对于高阶发展方程,特别是重要的四阶发展方程问题的研究却没有; 出现.本文首次提出 更多

18. 二维Sobolev方程的有限体积元法 CSCD 北大核心刊 期刊论文 认领

作者:赵洁;李宏;方志朝;刘洋

外文作者:Zhao Jie;Li Hong;Fang Zhichao;Liu Yang;ZHAO Jie[1];LI Hong[2];FANG Zhi-chao[2];LIU Yang[2]

第一作者:赵洁

作者机构:[赵洁]内蒙古大学数学科学学院, 呼和浩特, 内蒙古 010021, 中国.;[李宏]内蒙古大学数学科学学院, 呼和浩特, 内蒙古 010021, 中国.;[方志朝]内蒙古大学数学科学学 更多

来源:内蒙古大学学报. 自然科学版,2012,Vol.43,Issue.1

基金:国家自然科学基金项目; 内蒙古自治区高等学校科学研究项目; 内蒙古大学研究生培养基金项目;国家自然科学基金,内蒙古自治区高等学校科学研究项目,内蒙古大学研究生培养基金

知网综合影响因子:0.302

知网复合影响因子:0.478

关键词:有限体积元方法; Sobolev方程; 最优阶误差估计

摘要:基于平面区域的矩形网格剖分和双线性插值基函数生成的有限元空间,将有限体积元方法应用到Sobolev方程,给出了计算格式,并进行理论分析,得到了有; 限体积元解的最 更多

19. 伪双曲方程的全离散修正H~1 -Galerkin混合有限元方法 CSCD 北大核心刊 期刊论文 认领

作者:赵利;方志朝

外文作者:Zhao Li;Fang ZhiChao

第一作者:赵利

作者机构:[赵利]赤峰工业职业技术学院电子信息系, 赤峰, 内蒙古 024005, 内蒙古.;[方志朝]内蒙古大学数学科学学院, 呼和浩特, 内蒙古 中国. 更多

来源:内蒙古大学学报. 自然科学版,2014,Vol.45,Issue.2

基金:Supported by National Natural Science Funds of China; the National; Science Foundation of Inner Mongolia Province; Scientific Research; Projection of Higher Schools of Inner Mongolia; Program of Higher Level; Talents of Inner Mongolia University

知网综合影响因子:0.302

知网复合影响因子:0.478

关键词:修正的H~1 -Galerkin混合有限元方法; 全离散格式; 伪双曲型方程; 最优阶误差估计

摘要:利用修正的H~1; -Galerkin混合有限元方法求解了一类来源于神经传导过程的伪双曲型方程.在二维和三维空间下通过引入两个不同物理意义的辅助变量,将模型方程分 更多

20. 伪双曲型方程的混合控制体积方法 CSCD 期刊论文 认领

作者:方志朝;李宏;罗振东

外文作者:Fang Zhichao;Li Hong;Luo Zhendong

第一作者:方志朝

作者机构:[方志朝]内蒙古大学数学科学学院, 呼和浩特, 内蒙古 010021, 中国.;[李宏]内蒙古大学数学科学学院, 呼和浩特, 内蒙古 010021, 中国.;[罗振东](北京)华北电力大学 更多

来源:数学物理学报. A辑,2013,Vol.33,Issue.3

基金:国家自然科学基金; 内蒙古高校科学研究项目

教育部学科:数学,物理学

关键词:伪双曲型方程; 混合控制体积方法; 全离散格式; 最优阶误差估计

摘要:利用混合控制体积方法在三角形网格剖分下求解一类伪双曲型方程.; 通过使用最低阶Raviart-Thomas混合有限元空间和引入迁移算子把解函数空间映射成试探函数空间, 更多

更新时间:Mar 28, 2019

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