【11061021】非标准混合有限元法的格式构造与近似解误差估计国家自然基金项目

非标准混合有限元法的格式构造与近似解误差估计

项目批准号： 11061021

批准年份： 2010

学科分类： A0501.算法基础理论与构造方法

项目负责人：李宏

资助类别：地区科学基金项目

负责人职称：教授

依托单位：内蒙古大学

资助金额： 25万元

关键词：误差估计;非标准混合类有限元方法;格式构造;数值模拟

起止时间： 2011-01-01到2013-12-31

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序号	标题	类型	作者
1	A High-Order NVD/TVD-Based Polynomial Upwind Scheme for the Modified Burgers' Equations	期刊论文	Gao, Wei\|Liu, Yang\|Cao, Bin\|Li, Hong\|
2	Splitting positive definite mixed element methods for pseudo-hyperbolic equations	期刊论文	Liu, Yang\|Li, Hong\|Wang, Jinfeng\|He, Siriguleng\|
3	伪双曲积分微分方程的半离散混合元法误差估计	期刊论文	季兆义\|李宏\|刘洋\|王小飞\|李晓瑜\|
4	Numerical solutions to regularized long wave equation based on mixed covolume method	期刊论文	Fang, Zhi-chao\|Li, Hong\|
5	A New Positive Definite Expanded Mixed Finite Element Method for Parabolic Integrodifferential Equations	期刊论文	Liu, Yang\|Li, Hong\|Wang, Jinfeng\|Gao, Wei\|
6	Error estimates of H1-Galerkin mixed method for viscoelastic wave equation	期刊论文	王金凤\|刘洋\|李宏\|
7	A hybrid vertex-centered finite volume/element method for viscous incompressible flows on non-staggered unstructured meshes	期刊论文	Gao, Wei\|Liu, Ru-Xun\|Li, Hong\|
8	A new spliting positive definite mixed element method for pesudo-hyperbolic equaitons	期刊论文	刘洋\|李宏\|高巍\|何斯日古楞\|
9	A new spliting H1-Galerkin mixed method for pesudo-hypolic equations	期刊论文	刘洋\|王金凤\|李宏\|高巍\|
10	Time discontinuous Galerkin space-time finite element method for nonlinear Sobolev equations	期刊论文	He, Siriguleng\|Li, Hong\|Liu, Yang\|
11	对流扩散方程的时空间断有限元方法	期刊论文	李臻臻\|李宏\|
12	A new mixed scheme based on variation of constants for Sobolev equation with nonlinear convection term	期刊论文	Liu Yang\|Li Hong\|He Siriguleng\|Gao Wei\|Mu Sen\|
13	发展型方程的时间间断时空有限元方法	期刊论文	何斯日古楞\|李宏\|刘洋\|
14	Approximate Analytic Solutions of Time-Fractional Hirota-Satsuma Coupled KdV Equation and Coupled MKdV Equation	期刊论文	Liu, Jincun\|Li, Hong\|
15	Splitting positive definite mixed element method for viscoelasticity wave equation	期刊论文	Liu, Yang\|Li, Hong\|Gao, Wei\|He, Siriguleng\|Wang, Jinfeng\|
16	半线性分数阶方程的时空有限元方法--间断Galerkin方法	期刊论文	刘金存\|李宏\|
17	Explicit Multistep Mixed Finite Element Method for RLW Equation	期刊论文	Liu, Yang\|Li, Hong\|Du, Yanwei\|Wang, Jinfeng\|
18	An unstructured finite volume projection method for pulsatile flows through an asymmetric stenosis	期刊论文	Gao, Wei\|Li, Hong\|Liu, Ruxun\|
19	四阶强阻尼波动方程的混合控制体积法	期刊论文	方志朝\|李宏\|刘洋\|
20	伪双曲型方程的混合控制体方法	期刊论文	方志朝\|李宏\|罗振东\|
21	H-1-Galerkin mixed finite element methods for pseudo-hyperbolic equations (vol 212, pg 446, 2009)	期刊论文	Liu, Yang\|Li, Hong\|
22	An expanded mixed covolume method for sobolev equation with convection term on triangular grids	期刊论文	Fang, Zhichao\|Li, Hong\|
23	An H1-Galerkin mixed method for the coupled Burgers equation	期刊论文	贾先彪\|李宏\|
24	A high resolution NV/TVD Hermite polynomial upwind scheme for convection-dominated problems	期刊论文	Gao, Wei\|Li, Hong\|Liu, Yang\|
25	A Coupling Method of New EMFE and FE for Fourth-Order Partial Differential Equation of Parabolic Type	期刊论文	Liu, Yang\|Li, Hong\|Fang, Zhichao\|He, Siriguleng\|Wang, Jinfeng\|
26	An oscillation-free high order TVD/CBC-based upwind scheme for convection discretization	期刊论文	Gao, Wei\|Li, Hong\|Liu, Yang\|Jian, Yong-Jun\|
27	四阶抛物偏微分方程的H~1-Galerkin混合元方法及数值模拟	期刊论文	刘洋\|李宏\|何斯日古楞\|高巍\|方志朝\|
28	Analysis of mixed finite element methods for fourth-order wave equations	期刊论文	He, Siriguleng\|Li, Hong\|Liu, Yang\|
29	A spliting mixed discontinuous space-time Galeikin method for parabolic problems	期刊论文	何斯日古楞\|李宏\|刘洋\|方志朝\|
30	电报方程的时间间断时空有限元方法	期刊论文	何斯日古楞\|李宏\|
31	二维Sobolev方程的有限体积元法	期刊论文	赵洁\|李宏\|方志朝\|刘洋\|
32	A Novel Characteristic Expanded Mixed Method for Reaction-Convection-Diffusion Problems	期刊论文	Liu, Yang\|Li, Hong\|Gao, Wei\|He, Siriguleng\|Fang, Zhichao\|
33	H (1) space-time discontinuous finite element method for convection-diffusion equations	期刊论文	He, Siriguleng\|Li, Hong\|Liu, Yang\|
34	An adative least square mixed finite element method for pesudo-parabolic intergo-differential equations	期刊论文	冯子龙\|李宏\|刘洋\|何斯日古楞\|
35	Sobolev方程的时间间断Galerkin有限元方法	期刊论文	何斯日古楞\|李宏\|
36	一类变系数非稳态对流扩散方程的四阶紧致差分格式	期刊论文	何斯日古楞\|李宏\|
37	A new time discontinuous expanded mixed element method for convectin-dominated diffusion equations	期刊论文	王金凤\|毕远红\|李宏\|刘洋\|赵猛\|
38	对称正则长波方程的三次配点法	期刊论文	王小飞\|李宏\|刘洋\|季兆义\|
39	A nonconforming mixed finite element method for semilinear pesudo-hyperbolic intergo-differential equations	期刊论文	杨景波\|李宏\|刘洋\|何斯日古楞\|
40	A C1-conforming finite element method for nonlinear forth-order hyperbolic equaitons	期刊论文	刘洋\|李宏\|何斯日古楞\|高巍\|

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