最优控制问题谱方法及hp自适应谱元方法研究

11671157
2016
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
48万元
最优性条件;后验误差估计子;可靠性与有效性;谱元方法;hp自适应谱元法
2017-01-01到2020-12-31
  • 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 Two-grid methods for semilinear time fractional reaction diffusion equations by expanded mixed finite element method 期刊论文 Qingfeng Li;Yanping Chen;Yunqing Huang;Yang Wang
2 Two-grid method for compressible miscible displacement problem by CFEM-MFEM 期刊论文 Jiaoyan Zeng;Yanping Chen;Hanzhang Hu
3 Two-grid methods for miscible displacement problem by Galerkin methods and mixed finite element methods 期刊论文 Shang Liu;Yanping Chen;Yunqing Huang;Jie Zhou
4 Equivalent a posteriori error estimates for elliptic optimal control problems with L^1-control cost 期刊论文 Haitao Leng;Yanping Chen;Yunqing Huang
5 Two-grid finite element methods of the Crank-Nicolson Galerkin Approximation for a nonlinear parabolic equation 期刊论文 Zhijun Tan;Kang Li;Yanping Chen
6 Galerkin spectral approximation of optimal control problems with L^2-norm control constraint 期刊论文 Xiuxiu Lin;Yanping Chen;Yunqing Huang
7 Analysis of two-grid discretization scheme for semilinear hyperbolic equations by mixed finite element methods 期刊论文 Keyan Wang;Yanping Chen
8 Superconvergence analysis of bi-k degree rectangular elements for two-dimensional time-dependent Schrodinger equations 期刊论文 Jianyun Wang;Yanping Chen
9 A posteriori error estimates of the Galerkin spectral methods for space-time fractional diffusion equations 期刊论文 Huasheng Wang;Yanping Chen;Yunqing Huang;Wenting Mao
10 Numerical solution of two-dimensional nonlinear Schrödinger equation using a new two-grid finite element method 期刊论文 Hanzhang Hu;Yanping Chen
11 A-posteriori error estimation in maximum norm for a strongly coupled system of two singularly perturbed convection–diffusion problems 期刊论文 Libin Liu;Yanping Chen
12 Adaptive hybridizable discontinuous Galerkin methods for nonstationary convection diffusion problems 期刊论文 Haitao Leng;Yanping Chen
13 Convergence and quasi-optimality of an adaptive finite element method for optimal control problems with integral control constraint 期刊论文 Haitao Leng;Yanping Chen
14 A posteriori error estimates of hp spectral element methods for integral state constrained elliptic optimal control problems 期刊论文 Yanping Chen;Jinling Zhang;Yunqing Huang;Yeqing Xu
15 Superconvergence analysis of bilinear finite element for the nonlinear Schrodinger equation on the rectangular mesh 期刊论文 ZhikunTian;Yanping Chen;Jianyun Wang
16 Spectral collocation methods for nonlinear Volterra integro-differential equations with weakly singular kernels 期刊论文 Yin Yang;Yanping Chen
17 Two-grid method for the two-dimensional time-dependent Schrodinger equation by the finite element method 期刊论文 Zhikun Tian;Yanping Chen;Yunqing Huang;Jianyun Wang
18 A two-grid Eulerian-Lagrangian localized adjoint method to miscible displacement problems with dispersion term 期刊论文 Yang Wang;Yanping Chen;Yunqing Huang
19 A new weak Galerkin finite element scheme for general second-order elliptic problems 期刊论文 Guanrong Li;Yanping Chen;Yunqing Huang
20 A spectral collocation method for multidimensional nonlinear weakly singular Volterra integral equation 期刊论文 Yunxia Wei;Yanping Chen;Xiulian Shi
21 Chebyshev spectral method for Volterra integral equation with multiple delays 期刊论文 Weishan Zheng;Yanping Chen
22 A characteristic finite element two-grid algorithm for a compressible miscible displacement problem 期刊论文 Hanzhang Hu;Yanping Chen;Yunqing Huang
23 A Legendre-Petrov-Galerkin method for solving Volterra Integro-differential equations with proportional delays 期刊论文 Haotao Cai;Yanping Chen;Yunqing Huang
24 A novel discretization method for semilinear reactiondiffusion equation 期刊论文 Luoping Chen;Yanping Chen
25 Two-grid finite element methods combined with Crank-Nicolson scheme for nonlinear Sobolev equations 期刊论文 Chuanjun Chen;Kang Li;Yanping Chen;Yunqing Huang
26 Spectral method for multidimensional Volterra integral equation with regular kernel 期刊论文 Yunxia Wei;Yanping Chen;Xiulian Shi;Yuanyuan Zhang
27 Multigrid method for poroelasticity problem by finite element method 期刊论文 Luoping Chen;Yanping Chen
28 A two level sparse grid collocation method for semilinear stochastic elliptic equations 期刊论文 Luoping Chen;Yanping Chen;Xiong Liu
29 Two grid finite element discretization method for semi-linear hyperbolic integro-differential equations 期刊论文 Luoping Chen;Yanping Chen;Yunqing Huang
30 Mortar element method for the coupling of Navier-Stokes and Darcy flows 期刊论文 Xin Zhao;Yanping Chen
31 Two-grid methods for semi-linear elliptic interface problems by immersed finite element methods 期刊论文 Yang Wang;Yanping Chen;Yunqing Huang;Ying Liu
32 Multidomain Legendre-Galerkin and collocation least-squares methods for linear differential equations with variable coefficients 期刊论文 Yonghui Qin;Yanping Chen;Yunqing Huang;Heping Ma
33 Equivalent a posteriori error estimators for semilinear elliptic equations with Dirac right-hand side 期刊论文 Wenting Mao;Yanping Chen;Haitao Leng
34 Two-grid methods of finite-element solutions for semi-linear elliptic interface problems 期刊论文 Yanping Chen;Qingfeng Li;Yang Wang;Yunqing Huang
35 A Jacobi Spectral Method for Solving Multidimensional Linear Volterra Integral Equation of the Second Kind 期刊论文 Yunxia Wei;Yanping Chen
36 Convergence analysis of Legendre-collocation spectral methods for second order Volterra integro-differential equation with delay 期刊论文 Weishan Zheng;Yanping Chen;Yunqing Huang
37 Curl Recovery for the Lowest Order Rectangular Edge Element 期刊论文 Peizhen Wang;Yanping Chen;Wei Yang
38 Numerical analysis for volterra integral equation with two kinds of delay 期刊论文 Weishan Zheng;Yanping Chen
39 Spectral collocation methods for second-order Volterra integro-differential equations with weakly singular kernels 期刊论文 Xiulian Shi;Yanping Chen;Yunqing Huang;Fenglin Huang
40 Spectral method approximation of flow optimal control problems with H^1-norm state constraint 期刊论文 Yanping Chen;Fenglin Huang
41 Legendre collocation method for Volterra integro-differential algebraic equation 期刊论文 Yunxia Wei;Yanping Chen;Yunqing Huang
42 A priori error estimates of Meshless method for optimal control problems of stochastic elliptic PDEs 期刊论文 Fenglin Huang;Yanping Chen;Yunqing Huang
43 Two-grid methods of expanded mixed finite-element solutions for nonlinear parabolic problems 期刊论文 Yanping Chen;Yang Wang;Yunqing Huang;Longxia Fu
44 Jacobi Spectral Collocation Method Based on Lagrange Interpolation Polynomials for Solving Nonlinear Fractional Integro-Differential Equations 期刊论文 Xingfa Yang;Yin Yang;Yanping Chen;Jie Liu
45 hp spectral element approximation for integral state constrained optimal control problems governed by harmonic equations 期刊论文 Yanping Chen;Xiuxiu Lin;Yunqing Huang;Qian Lin
46 A posteriori error estimates of hp spectral element methods for optimal control problems with L^2-norm state constraint 期刊论文 Xiuxiu Lin;Yanping Chen;Yunqing Huang
47 Mortar element method for the time dependent coupling of Stokes and Darcy flows 期刊论文 Yanping Chen;Xin Zhao;Yunqing Huang
48 Error estimates of pseudostress-velocity MFEM for optimal control problems governed by stokes equations 期刊论文 Yanping Chen;Haitao Leng;Wendi Yang
49 A priori error estimates of a combined mixed finite element and local discontinuous Galerkin method for an incompressible miscible displacement problem 期刊论文 Jiming Yang;Yanping Chen;Yunqing Huang
50 积分方程和最优控制的高阶与高效算法研究 奖励 陈艳萍
51 Two-grid mixed finite element method for nonlinear hyperbolic equations 期刊论文 Keyan Wang;Yanping Chen
52 A fractional order collocation method for second kind Volterra integral equations with weakly singular kernels 期刊论文 Haotao Cai;Yanping Chen
53 A posteriori error estimates of two-grid finite volume element methods for nonlinear elliptic problems 期刊论文 Chuanjun Chen;Yanping Chen;Xin Zhao
54 Legendre spectral collocation method for volterra-hammerstein integral equation of the second kind 期刊论文 Yunxia Wei;Yanping Chen
55 Convergence and quasi-optimality of an adaptive finite element method for optimal control problems on L^2 errors 期刊论文 Haitao Leng;Yanping Chen
56 Convergence analysis for the Chebyshev collocation methods to Volterra integral equations with a weakly singular kernel 期刊论文 Xiong Liu;Yanping Chen
57 Rough polyharmonic splines method for optimal control problem governed by parabolic systems with rough coefficient 期刊论文 Jiaoyan Zeng;Yanping Chen;Guichang Liu
58 Finite element approximation of space fractional optimal control problem with integral state constraint 期刊论文 Zhaojie Zhou;Jiabin Song;Yanping Chen
59 Convergence analysis of space-time Jacobi spectral collocation method for solving time-fractional Schrödinger equations 期刊论文 Yin Yang;Jindi Wang;Shangyou Zhang;Emran Tohidi
60 A two-gird method for semi-linear elliptic interface problems by partially penalized immersed finite element methods 期刊论文 Yang Wang;Yanping Chen;Yunqing Huang
61 A two-grid method for characteristic expanded mixed finite element Solution of miscible displacement problem 期刊论文 Hanzhang Hu;Yanping Chen
62 A two-grid method for incompressible miscible displacement problems by mixed finite element and Eulerian-Lagrangian localized adjoint methods 期刊论文 Yang Wang;Yanping Chen
63 A local discontinuous Galerkin method for time-fractional Burgers equation 期刊论文 Wenping Yuan;Yanping Chen;Yunqing Huang
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