分数阶偏微分方程有限元/有限体积法快速算法及可计算建模

91130010
2011
A0504.微分方程数值解
羊丹平
重大研究计划
教授
华东师范大学
70万元
有限元方法;快速算法;可计算建模;复杂系统;分数阶方程
2012-01-01到2014-12-31
  • 中英文摘要
  • 结题摘要
  • 结题报告
  • 项目成果
  • 项目参与人
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序号 标题 类型 作者
1 A fast Galerkin method with efficient matrix assembly and storage for a peri-dynamic model 期刊论文 Wang Hong |Tian Hao |
2 Inhomogeneous Dirichlet boundary-value problems of space-fractional diffusion equations and their finite element approximations 期刊论文 Hong Wang|Danping Yang|Shengfeng Zhu|
3 Wellposedness of variable-coefficient conservative fractional elliptic differential equations 期刊论文 Hong Wang|Danping Yang|
4 A fast finite difference method for three-dimensional time-dependent space-fractional diffusion equations and its efficient implementation 期刊论文 Hong Wang|Ning Du|
5 <span> </span> <br /><span style="background: white; color: black; line-height: 115%; font-family:;" roman","serif";font-size:10.5pt;"="" new="" times="">A Eulerian–Lagran 期刊论文 Aijie Cheng|Hong Wang|Kaixian Wang|
6 <span> </span> <br /><span style="color: rgb(51, 51, 51); font-family:;" roman","serif";font-size:12pt;"="" times="" new="">Domain decomposition methods for nonlocal total 期刊论文 Huibin Chang|Xiaoqun Zhang|Xuecheng Tai|Danping Yang|
7 A superfast-preconditioned iterative method for steady-state space-fractional diffusion equations 期刊论文 Hong Wang|Ning Du|
8 Adaptive finite element approximation for a class of parameter estimation problems 期刊论文 Yanzhen Chang|Danping Yang|Zhijuan Zhang|
9 A fast finite difference method for two-dimen-sional space-fractional diffusion equations. 期刊论文 Wang Hong|Treena S. Basu|
10 <span style="line-height: 115%; font-family:;" roman","serif";font-size:12pt;"="" times="" new="">Finite element approximation for a class of parameter estimation problems</span> 期刊论文 Yanzhen Chang|Danping Yang|
11 <span> </span> <h1 style="background:white;vertical-align:baseline;"><span style="color:#5C5C5C;font-size:12pt;font-weight:normal;"><span>Fast finite difference methods for space-fractional diffusion equat 期刊论文 Hong Wang|Jinhong Jia|
12 Superconvergence for optimal control problem governed by nonlinear elliptic equations 期刊论文 Yanzhen Chang|Danping Yang|
13 <h1 class="svTitle" id="ti0010" style="color:#5C5C5C;text-indent:0px;vertical-align:baseline;background-color:#FFFFFF;"><span> </span><span style="color:#5C5C5C;font-size:12pt;font-weight:normal;&quo 期刊论文 Hong Wang|Xuhao Zhang|
14 <span> </span> <br /><span>A fast finite difference method for two-dimensional space-fractional diffusion equations</span> <br /><span> </span> 期刊论文 Hong Wang|Treena S. Basu|
15 A posteriori error estimate of finite element method for the optimal control with the stationary B′enard problem 期刊论文 Yanzhen Chang|Danping Yang|
16 <span style="color:#5C5C5C;font-size:12pt;font-weight:normal;"><span>Fast alternating-direction finite difference methods for three-dimensional space-fractional diffusion equations</span></span> 期刊论文 Hong Wang|Ning Du|
17 An efficient collocation method for a non-local diffusion model 期刊论文 Hao Tian|Hong Wang|Wenqia Wang|
18 A priori error estimates of finite element methods for linear parabolic integro-differential optimal control problems 期刊论文 Wanfang Shen|Ge Liang|Danping Yang|Wenbin Liu|
19 Adaptive optimal control approximation for solving a fourth-order elliptic variational inequality 期刊论文 Weidong Cao|Danping Yang|
20 <span> </span> <br /><span style="color: rgb(92, 92, 92); font-family:;" roman","serif";font-size:12pt;"="" new="" times="">A fast and faithful collocation method with eff 期刊论文 Hong Wang|Hao Tian|
21 <span style="font-family:宋体;font-size:12pt;">A probabilistic collocation Eulerian-Lagrangian localized adjoint method on sparse grids for assessing </span><span style="font-family:;" tahoma","sans-serif";f 期刊论文 Hong Wang|Yongqiang Ren|Jinhong Jia|Michael A. Celia|
22 Finite element approximation of optimal control for system governed by immiscible displacement in porous media 期刊论文 Yanzhen Chang|Weidong Cao|Danping Yang|Tongjun Sun|Wenbin Liu|
23 A fast Galerkin method with efficient matrix assembly and storage for a peridynamic model 期刊论文 Hao Tian|Hong Wang|
24 Wellposedness of variable-coefficient conservative fractional elliptic differential equations 期刊论文 Hong Wang|Danping Yang|
25 Fast solution methods for space-fractional diffusion equations 期刊论文 Hong Wang|Ning Du|
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