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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. 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

3. A finite volume element formulation and error analysis for the non-stationary conduction-convection problem SCIE SCOPUS 期刊论文 认领

作者:Li, H;Luo, ZD;Sun, P;An, J

作者全称:Li, Hong;Luo, Zhendong;Sun, Ping;An, Jing

作者机构:[Li, Hong] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China.; [Luo, Zhendong] N China Elect Power Univ, Sch Math & Phys, Beijing 10 更多

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

第一作者:Li, Hong

通讯作者:Luo, ZD

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:JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2012,Vol.396,Issue.2

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]; Natural Science Foundation of; Inner Mongolia [2012MS0106]

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

中科院分区:大类数学2区;小类数学2区;小类应用数学3区

(JCR)当年影响因子:1.138

(JCR)5年影响因子:1.239

WOS被引频次:5

SCOPUS被引频次:5

ESI学科:MATHEMATICS

教育部学科:数学

关键词:Non-stationary conduction-convection problem; Finite volume element; method; Error estimate

摘要:The non-stationary conduction-convection problem including the velocity vector field and the pressure field as well as the temperature field is studie 更多

4. Splitting positive definite mixed element method for viscoelasticity wave equation SCIE SCOPUS 期刊论文 认领

作者:Liu, Y;Li, H;Gao, W;He, S;Wang, JF

作者全称:Liu, Yang;Li, Hong;Gao, Wei;He, Siriguleng;Wang, Jinfeng

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

第一署名单位:[Liu, Yang; Li, Hong; Gao, Wei; 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:FRONTIERS OF MATHEMATICS IN CHINA,2012,Vol.7,Issue.4

基金:National Natural Science Foundation of China [11061021]; Inner Mongolia; University [Z200901004]; Scientific Research Projection of Higher; Schools of Inner Mongolia [NJ10006, NJ10016, NJZZ12011]

JCR分区:MATHEMATICS为Q4

中科院分区:大类数学4区;小类数学4区

(JCR)当年影响因子:0.377

(JCR)5年影响因子:0.575

WOS被引频次:1

SCOPUS被引频次:1

ESI学科:MATHEMATICS

教育部学科:数学

关键词:Viscoelasticity wave equation; transformation; splitting positive; definite system; mixed finite element method; error estimate

摘要:A splitting positive definite mixed finite element method is proposed for second-order viscoelasticity wave equation. The proposed procedure can be sp 更多

5. A reduced finite element formulation based on POD method for two-dimensional solute transport problems SCIE SCOPUS 期刊论文 认领

作者:Luo, ZD;Li, H;Zhou, YJ;Xie, ZH

作者全称:Luo, Zhendong;Li, Hong;Zhou, Yanjie;Xie, Zhenghui

作者机构:[Luo, Zhendong] N China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China.; [Li, Hong] Inner Mongolia Univ, Sch Math Sci, Hohhot 01 更多

第一作者:Luo, Zhendong

通讯作者:Luo, ZD

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:JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2012,Vol.385,Issue.1

基金:National Science Foundation of China [10871022, 11061009, 11061021,; 40821092]; Natural Science Foundation of Hebei Province [A2010001663];; National Basic Research Program [2010CB428403, 2009CB421407,; 2010CB951001]; Science Research Program of Inner Mongolia Advanced; Education [NJ10006]

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

中科院分区:大类数学2区;小类数学2区;小类应用数学3区

(JCR)当年影响因子:1.138

(JCR)5年影响因子:1.239

WOS被引频次:11

SCOPUS被引频次:8

ESI学科:MATHEMATICS

教育部学科:数学

关键词:Proper orthogonal decomposition; Finite element formulation; Error; estimate; Numerical simulation; Solute transport problems

摘要:A proper orthogonal decomposition (POD) method is applied to a usual finite element (FE) formulation for two-dimensional solute transport problems wit 更多

6. Discontinuous galerkin finite element method for a forward-backward heat equation SCOPUS 期刊论文 认领

作者:Li H.;Wei X.

作者机构:[Li, H] Dept. of Math, College of Sciences and Technology, Inner Mongolia University, Huhhot, China;[ Wei, X] Dept. of Math, College of Sciences and T 更多

第一作者:Li H.

通讯作者:Li, H

通讯作者地址:Li, H.; Dept. of Math, College of Sciences and Technology, Inner Mongolia UniversityChina; 电子邮件: malhong@mail.imu.edu.cn

来源:Applied Mathematics,2005,Vol.20,Issue.1

JCR分区:MATHEMATICS, APPLIED为Q4

中科院分区:大类数学4区;小类应用数学4区

(JCR)当年影响因子:0.507

(JCR)5年影响因子:0.368

ESI学科:MATHEMATICS

教育部学科:数学

摘要:A space-time finite element method,discontinuous in time but continuous in space,is studied to solve the nonlinear forward-backward heat equation. A l 更多

7. A new fully discrete finite difference/element approximation for fractional cable equation SCOPUS EI 期刊论文 认领

作者:Liu J.;Li H.;Liu Y.

作者全称:Liu, Jincun;Li, Hong;Liu, Yang

作者机构:[Liu, Jincun ;Li, Hong ;Liu, Yang ] School of Mathematical Sciences, Inner Mongolia University, Hohhot; 010021, China

第一作者:Liu, Jincun

通讯作者:Li, Hong(smslh@imu.edu.cn)

通讯作者地址:Li, H.; School of Mathematical Sciences, Inner Mongolia UniversityChina; 电子邮件: smslh@imu.edu.cn

来源:Journal of Applied Mathematics and Computing,2016,Vol.52,Issue.1-2

SCOPUS被引频次:2

摘要:A novel fully discrete Crank–Nicolson finite element method, which is obtained by finite difference in time and finite element in space, is pres 更多

8. A reduced-order FVE extrapolation algorithm based on proper orthogonal decomposition technique and its error analysis for Sobolev equation EI SCIE SCOPUS 期刊论文 认领

作者:Luo, ZD;Li, H;Chen, J;Teng, F

作者全称:Luo, Zhendong;Li, Hong;Chen, Jing;Teng, Fei

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

第一作者:Luo, Zhendong

通讯作者:Luo, Zhendong

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

来源:JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS,2015,Vol.32,Issue.1

基金:National Science Foundation of China [11271127, 11361035, 11271367];; Science Research Project of Guizhou Province Education Department; [QJHKYZ[2013]207]; Natural Science Foundation of Inner Mongolia; [2012MS0106]

JCR分区:MATHEMATICS, APPLIED为Q4

中科院分区:大类数学4区;小类应用数学4区

(JCR)当年影响因子:0.566

(JCR)5年影响因子:0.661

WOS被引频次:1

ESI学科:MATHEMATICS

教育部学科:数学

关键词:Proper orthogonal decomposition; Reduced-order finite volume element; extrapolation algorithm; Sobolev equation; Error estimate

摘要:In this paper, a proper orthogonal decomposition (POD) technique is used to treat the classical finite volume element (FVE) formulation for two-dimens 更多

9. A POD REDUCED-ORDER SPDMFE EXTRAPOLATING ALGORITHM FOR HYPERBOLIC EQUATIONS SCIE SCOPUS 期刊论文 认领

作者:Luo, ZD;Li, H

作者全称:Luo, Zhendong;Li, Hong

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

第一作者:Luo, Zhendong

通讯作者:Luo, ZD

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

来源:ACTA MATHEMATICA SCIENTIA,2014,Vol.34,Issue.3

基金:National Science Foundation of China [11271127, 11361035]; Science; Research of Guizhou Education Department [QJHKYZ[2013]207]; Natural; Science Foundation of Inner Mongolia [2012M50106]

JCR分区:MATHEMATICS为Q3

中科院分区:大类数学4区;小类数学3区

(JCR)当年影响因子:0.661

(JCR)5年影响因子:0.651

WOS被引频次:1

ESI学科:MATHEMATICS

教育部学科:数学,物理学

关键词:Proper orthogonal decomposition; splitting positive definite mixed; finite element formulation; hyperbolic equations; error estimate

摘要:In this article, a proper orthogonal decomposition (POD) method is used to study a classical splitting positive definite mixed finite element (SPDMFE) 更多

10. A fully discrete stabilized mixed finite volume element formulation for the non-stationary conduction-convection problem SCIE SCOPUS 期刊论文 认领

作者:Luo, ZD;Li, H;Sun, P

作者全称:Luo, Zhendong;Li, Hong;Sun, Ping

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

第一作者:Luo, Zhendong

通讯作者:Luo, ZD

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

来源:JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2013,Vol.404,Issue.1

基金:National Science Foundation of China [11271127, 11061009, 11061021];; Natural Science Foundation of Inner Mongolia [2012MS0106]; Science; Research Program of Guizhou [GA[2011]2367]; Science Research Program of; Inner Mongolia Advanced Education [NJ10006]; Special Funds for; Co-construction Project of Beijing and North China Electric Power; University

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

中科院分区:大类数学2区;小类数学2区;小类应用数学3区

(JCR)当年影响因子:1.138

(JCR)5年影响因子:1.239

WOS被引频次:5

SCOPUS被引频次:5

ESI学科:MATHEMATICS

教育部学科:数学

关键词:Non-stationary conduction-convection problem; Stabilized mixed finite; volume element formulation; Local Gauss integrals and parameter-free;; Error estimate

摘要:At first, a semi-discrete formulation with respect to time for the non-stationary conduction-convection problem is recalled. Then, a fully discrete st 更多

11. A NEW REDUCED-ORDER FVE ALGORITHM BASED ON POD METHOD FOR VISCOELASTIC EQUATIONS SCIE SCOPUS 期刊论文 认领

作者:Li, H;Luo, ZD;Gao, JQ

作者全称:Li, Hong;Luo, Zhendong;Gao, Junqiang

作者机构:[Li, Hong] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China.; [Luo, Zhendong; Gao, Junqiang] North China Elect Power Univ, Sch Math 更多

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

第一作者:Li, Hong

通讯作者:Luo, ZD

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

来源:ACTA MATHEMATICA SCIENTIA,2013,Vol.33,Issue.4

基金:National Science Foundation of China [12271227, 11061009, 11061021];; Natural Science Foundation of Inner Mongolia [2012MS0106]; Science; Research Program of Guizhou [GJ[2011]2367]; Science Research Program of; Inner Mongolia Advanced Education [NJ10006]; Special Funds for; Co-construction Project of Beijing and North China Electric Power; University

JCR分区:MATHEMATICS为Q3

中科院分区:大类数学4区;小类数学3区

(JCR)当年影响因子:0.661

(JCR)5年影响因子:0.651

WOS被引频次:1

SCOPUS被引频次:1

ESI学科:MATHEMATICS

教育部学科:数学,物理学

关键词:proper orthogonal decomposition; finite volume element method;; viscoelastic equations; error estimate

摘要:A proper orthogonal decomposition (POD) technique is used to reduce the finite volume element (FVE) method for two-dimensional (2D) viscoelastic equat 更多

12. A reduced-order finite volume element formulation based on POD method and numerical simulation for two-dimensional solute transport problems EI SCIE SCOPUS 期刊论文 认领

作者:Luo, ZD;Li, H;Sun, P;An, J;Navon, IM

作者全称:Luo, Zhendong;Li, Hong;Sun, Ping;An, Jing;Navon, Ionel Michael

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

第一作者:Luo, Zhendong

通讯作者:Luo, Z.(zhdluo@ncepu.edu.cn)

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

来源:MATHEMATICS AND COMPUTERS IN SIMULATION,2013,Vol.89

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]; National Science Foundation of; USA under Grant CMG [0931198]

JCR分区:COMPUTER SCIENCE, SOFTWARE ENGINEERING为Q2;MATHEMATICS, APPLIED为Q1;COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS为Q3

中科院分区:大类数学3区;小类计算机:跨学科应用4区;小类计算机:软件工程3区;小类应用数学3区

(JCR)当年影响因子:1.476

(JCR)5年影响因子:1.475

SCOPUS被引频次:3

ESI学科:ENGINEERING

教育部学科:数学,软件工程,控制科学与工程,计算机科学与技术

关键词:Proper orthogonal decomposition; Finite volume element formulation;; Error estimate; Two-dimensional solute transport problems; Numerical; simulation

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

13. H (1) space-time discontinuous finite element method for convection-diffusion equations EI SCIE SCOPUS 期刊论文 认领

作者:He, S;Li, H;Liu, Y

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

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

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

第一作者:He, Siriguleng

通讯作者:He, S.(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,2013,Vol.34,Issue.3

基金:National Natural Science Foundation of China [11061021]; Inner Mongolia; College Research Project [NJ10006]; Natural Science Foundation of Inner; Mongolia of China [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

ESI学科:ENGINEERING

关键词:convection-diffusion equation; H-1 method; space-time discontinuous; finite element method; error estimate

摘要:An H (1) space-time discontinuous Galerkin (STDG) scheme for convectiondiffusion equations in one spatial dimension is constructed and analyzed. This 更多

14. A reduced-order Crank-Nicolson finite volume element formulation based on POD method for parabolic equations EI SCIE SCOPUS 期刊论文 认领

作者:Luo, ZD;Li, H;Sun, P

作者全称:Luo, Zhendong;Li, Hong;Sun, Ping

作者机构:[Luo, Zhendong] N China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China.; [Li, Hong] Inner Mongolia Univ, Sch Math Sci, Hohhot 01 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:APPLIED MATHEMATICS AND COMPUTATION,2013,Vol.219,Issue.11

基金:National Science Foundation of China [11271127, 11061009, 11061021];; Natural Science Foundation of Hebei Province [A2010001663]; Science; Research Program of Guizhou [GJ[2011]2367]; Natural Science Foundation; of Inner Mongolia [2012MS0106]; Science Research Program of Inner; Mongolia Advanced Education [NJ10006]; Special Funds for Co-construction; Project of Beijing and North China Electric Power University

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

SCOPUS被引频次:3

ESI学科:MATHEMATICS

教育部学科:数学,统计学

关键词:Proper orthogonal decomposition; Crank-Nicolson finite volume element; formulation; Error estimate; Parabolic equation; Numerical simulation

摘要:In this paper, a proper orthogonal decomposition (POD) method is used to deal with a classical Crank-Nicolson finite volume element (CNFVE) method for 更多

15. Sobolev方程的全离散有限体积元格式及数值模拟冰 CSCD 北大核心刊 期刊论文 认领

作者:李宏;罗振东;安静;孙萍

外文作者:Li Hong[1];Luo Zhendong[2];An Jing[3];Sun Ping[3]

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,;[安静;孙萍]贵州师范大学数学与计算机科学学院,贵阳,;[罗振东]华北电力大学数理学院,北京 更多

来源:计算数学,2012,Vol.34,Issue.2

基金:国家自然科学基金,河北省自然科学基金,贵州省科技计划项目,内蒙古自治区高等学校研究项目

CSCD被引频次:2

知网综合影响因子:0.706

知网复合影响因子:0.897

关键词:Sobolev方程;有限体积元格式;全离散格式;误差估计;

摘要:本文研究二维Sobolev方程的有限体积元方法,给出一种全离散化有限体积元格式及其有限体积元解的误差估计,并用数值例子说明数值计算的结果与理论结果是相吻合的,进 更多

16. 半线性抛物方程的时空有限元方法 CSCD 期刊论文 认领

作者:侯春英;李宏;文宗川

外文作者:HOU Chunying;LI Hong;WEN Zongchuan;HOU Chun-ying[1];LI Hong[1];WEN Zong-chuan[2]

第一作者:侯春英

作者机构:[侯春英]内蒙古大学理工学院数学系, 呼和浩特, 内蒙古 010021, 内蒙古.;[李宏]内蒙古大学理工学院数学系, 呼和浩特, 内蒙古 010021, 内蒙古.;[文宗川]内蒙古工业 更多

来源:高校应用数学学报. A辑,2008,Vol.23,Issue.4

基金:国家自然科学基金(10601022); 内蒙古自然科学基金(200607010106;200607010806);国家自然科学基金,内蒙古自然科学基金

知网综合影响因子:0.189

知网复合影响因子:0.226

关键词:半线性抛物方程; 连续时空有限元方法; 存在唯一性; 误差估计

摘要:讨论半线性抛物方程的连续Galerkin时空有限元方法,利用有限元方法和有限差分方法相结合的技巧,证明了弱解的存在唯一性,给出了时间最大模,空间; L~2模,即L~(L~2 更多

17. 一类二阶线性抛物型方程的扩展混合有限元方法 CSCD 期刊论文 认领

作者:刘洋;李宏;文宗川

外文作者:Liu Yang;Li Hong;Wen Zongchuan;Liu Yang[1];Li Hong[1];Wen Zongchuan[2]

第一作者:刘洋

作者机构:[刘洋;李宏]内蒙古大学理工学院数学系,呼和浩特;[文宗川]内蒙古工业大学管理学院,呼和浩特

来源:高等学校计算数学学报,2008,Vol.30,Issue.3

基金:国家自然科学基金(10601022),内蒙古自然科学基金(200607010106和200607010806),内蒙古大学513项目资助.;国家自然科学基金,内蒙古自然科学基金,内蒙古大学513人才计划科研项目

知网综合影响因子:0.167

知网复合影响因子:0.217

关键词:二阶线性抛物型方程;计算方法;代数学;有限元方法

摘要:近年来,很多计算数学工作者致力于偏微分方程混合有限元方法方面的研究,这个方法早期是于上个世纪六七十年代被几位工程师(Fraeijs de; Veubeke,1965;Hellan,196 更多

18. 半线性抛物型积分微分方程的间断时空有限元方法 CSCD 期刊论文 认领

作者:李宏;王焕清

外文作者:Li Hong;Wang Huanqing;Li Hong[1];Wang Huanqing[2]

第一作者:李宏

作者机构:[李宏;王焕清]内蒙古大学理工学院数学系,呼和浩特;[王焕清]渤海大学数学系,锦州;[李宏]内蒙古大学理工学院数学系,呼和浩特,;渤海大学数学系,锦州,121000;[王焕清 更多

来源:计算数学,2006,Vol.28,Issue.3

基金:国家自然科学基金,数学天元基金(A0324652),内蒙古自然科学基金,内蒙古大学博士科研启动项目和513项目资助.;国家自然科学基金,国家自然科学基金,内蒙古自然科学基金,内蒙古大学校科研和教改项目

CSCD被引频次:6

知网综合影响因子:0.706

知网复合影响因子:0.897

关键词:半线性积分微分方程;时空有限元方法;误差估计

摘要:本文讨论了一类半线性抛物型积分微分方程的间断时空有限元方法。利用有限元和有限差分方法相结合的技巧,在时间离散区间内,利用Radau点处Lagrange插值多项式的特 更多

19. 一般二维奇异问题的间断时空有限元方法 CSCD 期刊论文 认领

作者:李宏

外文作者:Li Hong

第一作者:李宏

作者机构:[李宏]内蒙古大学理工学院数学系, 呼和浩特, 内蒙古 010020, 内蒙古.;[李宏]内蒙古大学理工学院数学系,呼和浩特

来源:内蒙古大学学报. 自然科学版,2005,Vol.36,Issue.5

基金:国家自然科学基金数学天元基金; 内蒙古自然科学基金; 内蒙古大学青年基金; 内蒙古大学博士科研启动项目; 内蒙古大学513项目;国家自然科学基金,内蒙古自然科学基金,内蒙古大学校科研和校改项目,国家博士研究生科研项目,513项目

知网综合影响因子:0.302

知网复合影响因子:0.478

关键词:间断时空有限元方法; 奇异方程; 误差估计

摘要:将时间允许间断而空间允许连续的间断时空有限元方法应用于一般二维奇异问题,给出解的存在唯一性证明,并给出加权索伯列夫空间模意义下的有限元解的误差估; 计,包 更多

20. 拟线性抛物型积分-微分方程的间断时空有限元方法 CSCD 期刊论文 认领

作者:李宏;王焕清

外文作者:LI Hong;WANG Huanqing

第一作者:李宏

作者机构:[李宏]内蒙古大学理工学院数学系, 呼和浩特, 内蒙古 010021, 内蒙古.;[王焕清]内蒙古大学理工学院数学系, 呼和浩特, 内蒙古 010021, 内蒙古.;[李宏;王焕清]内蒙古 更多

来源:内蒙古大学学报. 自然科学版,2005,Vol.36,Issue.6

基金:国家自然科学基金数学天元基金; 内蒙古自然科学基金; 内蒙古大学博士科研启动和513项目;国家自然科学基金,内蒙古自然科学基金,内蒙古大学校科研和教改项目,内蒙古大学校科研和校改项目

知网综合影响因子:0.302

知网复合影响因子:0.478

关键词:积分-微分方程; 弱奇异核; 误差估计; 间断有限元

摘要:考虑一类积分项带弱奇异积分核情形的积分-微分方程的数值解。利用间断时空有限元方法对方程进行离散,即允许近似函数在时间节点处是间断的。证明了广义解; 的唯 更多

更新时间:Mar 28, 2019

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