最优控制问题自适应混合有限元方法

10971074
2009
A0501.算法基础理论与构造方法
陈艳萍
面上项目
教授
华南师范大学
27万元
后验误差估计;超收敛性质;自适应算法;后处理技术;混合有限元方法
2010-01-01到2012-12-31
  • 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 Superconvergence of a combined mixed finite element and discontinuous Galerkin approximation for an incompressible miscible displacement problem 期刊论文 Yang, Jiming|Chen, Yanping|
2 CONVERGENCE ANALYSIS OF THE JACOBI SPECTRAL-COLLOCATION METHODS FOR VOLTERRA INTEGRAL EQUATIONS WITH A WEAKLY SINGULAR KERNEL 期刊论文 Chen, Yanping|Tang, Tao|
3 A posteriori error estimates of lowest order Raviart-Thomas mixed finite element methods for bilinear optimal control problems 期刊论文 Zuliang Lu|Yanping Chen|Weishan Zheng|
4 Error estimates of triangular mixed finite element methods for quasilinear optimal control problems 期刊论文 Chen, Yanping|Lu, Zuliang|Guo, Ruyi|
5 A PRIORI ERROR ESTIMATES OF A COMBINED MIXED FINITE ELEMENT AND DISCONTINUOUS GALERKIN METHOD FOR COMPRESSIBLE MISCIBLE DISPLACEMENT WITH MOLECULAR DIFFUSION AND DISPERSION 期刊论文 Yang, Jiming|Chen, Yanping|
6 A priori error analysis of a discontinuous Galerkin approximation for a kind of compressible miscible displacement problems 期刊论文 Yang JiMing|Chen YanPing|
7 Superconvergence of Rectangular Mixed Finite Element Methods for Constrained Optimal Control Problem 期刊论文 Chen, Yanping|Dai, Li|Lu, Zuliang|
8 A Posteriori Error Estimates for Semilinear Boundary Control Problems 会议论文 Chen, Yanping|Lu, Zuliang|
9 Higher Order Triangular Mixed Finite Element Methods for Semi linear Quadratic Optimal Control Problems 期刊论文 Deng, Kang|Chen, Yanping|Lu, Zuliang|
10 Superconvergence and L-infinity-Error Estimates of RT1 Mixed Methods for Semilinear Elliptic Control Problems with an Integral Constraint 期刊论文 Chen, Yanping|Hou, Tianliang|
11 Error estimates of fully discrete mixed finite element methods for semilinear quadratic parabolic optimal control problem 期刊论文 Chen, Yanping|Lu, Zuliang|
12 Error estimates of mixed finite element methods for quadratic optimal control problems 期刊论文 Xing, Xiaoqing|Chen, Yanping|Yi, Nianyu|
13 Two-Grid Method for Nonlinear Reaction-Diffusion Equations by Mixed Finite Element Methods 期刊论文 Chen, Luoping|Chen, Yanping|
14 A POSTERIORI ERROR ESTIMATES OF MIXED METHODS FOR PARABOLIC OPTIMAL CONTROL PROBLEMS 期刊论文 Chen, Yanping|Liu, Lingli|Lu, Zuliang|
15 Superconvergence of a combined mixed finite element and discontinuous Galerkin method for a compressible miscible displacement problem 期刊论文 Yang, Ji-ming|Chen, Yanping|
16 Convergence Analysis of the Legendre Spectral Collocation Methods for Second Order Volterra Integro-Differential Equations 期刊论文 Wei, Yunxia|Chen, Yanping|
17 A LEGENDRE-GALERKIN SPECTRAL METHOD FOR OPTIMAL CONTROL PROBLEMS GOVERNED BY STOKES EQUATIONS 期刊论文 Chen, Yanping|Huang, Fenglin|Yi, Nianyu|Liu, Wenbin|
18 A posteriori error estimates for hp finite element solutions of convex optimal control problems 期刊论文 Chen, Yanping|Lin, Yijie|
19 A posteriori error analysis for a fully discrete discontinuous Galerkin approximation to a kind of reactive transport problems 期刊论文 Yang, Jiming|Chen, Yanping|
20 Error Estimates and Superconvergence of Mixed Finite Element Methods for Convex Optimal Control Problems 期刊论文 Chen, Yanping|Huang, Yunqing|Liu, Wenbin|Yan, Ningning|
21 Numericical methods for constrained elliptic optimal control problmes with rapidly oscillating coefficients 期刊论文 Yanping Chen|Yuelong Tang|
22 SUPERCONVERGENCE PROPERTY OF FINITE ELEMENT METHODS FOR PARABOLIC OPTIMAL CONTROL PROBLEMS 期刊论文 Hou, Chunjuan|Chen, Yanping|Lu, Zuliang|
23 Two improved algorithms and implementation for a singularly perturbed problem on moving meshes 期刊论文 Zhou, Qin|Chen, Yanping|Yang, Yin|
24 Superconvergence of Mixed Methods for Optimal Control Problems Governed by Parabolic Equations 期刊论文 Xing, Xiaoqing|Chen, Yanping|
25 A Legendre Galerkin spectral method for optimal control problems 期刊论文 Chen, Yanping|Xia, Nianshi|Yi, Nianyu|
26 Polynomial spline approach for solving second-order boundary-value problems with Neumann conditions 期刊论文 Liu, Li-Bin|Liu, Huan-Wen|Chen, Yanping|
27 L-infinity-ESTIMATES OF MIXED FINITE ELEMENT METHODS FOR GENERAL NONLINEAR OPTIMAL CONTROL PROBLEMS 期刊论文 Chen, Yanping|Lu, Zuliang|
28 Electronic Transport in a New Type Nano-Junction: Carbon Atomic Chain Inserted Into a Carbon Nanotube 期刊论文 Yuan, Jianmei|Chen, Yanping|Mao, Yuliang|
29 Recovery Type A Posteriori Error Estimates of Fully Discrete Finite Element Methods for General Convex Parabolic Optimal Control Problems 期刊论文 Yuelong Tang|Yanping Chen|
30 Legendre Spectral Collocation Methods for Pantograph Volterra Delay-Integro-Differential Equations 期刊论文 Wei, Yunxia|Chen, Yanping|
31 RICHARDSON EXTRAPOLATION AND DEFECT CORRECTION OF MIXED FINITE ELEMENT METHODS FOR ELLIPTIC OPTIMAL CONTROL PROBLEMS 期刊论文 Chen, Yanping|Huang, Yunqing|Hou, Tianliang|
32 Variational discretization for parabolic optimal control problems with control constraints 期刊论文 Tang, Yuelong|Chen, Yanping|
33 Convergence Analysis of the Spectral Methods for Weakly Singular Volterra Integro-Differential Equations with Smooth Solutions 期刊论文 Wei, Yunxia|Chen, Yanping|
34 Superconvergence of triangular mixed finite elements for optimal control problems with an integral constraint 期刊论文 Zhou, Jianwei|Chen, Yanping|Dai, Yongquan|
35 A Posteriori Error Estimates of Mixed Methods for Quadratic Optimal Control Problems Governed by Parabolic Equations 期刊论文 Hou, Tianliang|Chen, Yanping|Huang, Yunqing|
36 Error estimates for parabolic optimal control problem by fully discrete mixed finite element methods 期刊论文 Chen, Yanping|Lu, Zuliang|
37 A NOTE ON LOCAL SENSITIVITY ANALYSIS FOR PARAMETRIC OPTIMIZATION PROBLEM 期刊论文 Yang, Liu|Chen, Yanping|Tong, Xiaojiao|
38 A new smoothing Newton method for solving constrained nonlinear equations 期刊论文 Liu Yang|Yanping Chen|Xiaojiao Tong|Chunlin Deng|
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