Yanping Chen

Publication Activity (10 Years)

Years Active: 2006-2024
Publications (10 Years): 57

Top Topics

Diffusion Equation

Error Estimates

Numerical Solution

Control Problems

Top Venues

Comput. Math. Appl.

J. Comput. Appl. Math.

Appl. Math. Comput.

J. Sci. Comput.

Publications

Wenlin Qiu, Yanping Chen, Xu Xiao, Xiangcheng Zheng
Discrete L1 remainder stability of first and second order schemes for a Volterra integro-differential equation. Math. Comput. Simul. 219 (2024)
Zhikun Tian, Yanping Chen, Jianyun Wang
A two-grid discretization method for nonlinear Schrödinger equation by mixed finite element methods. Comput. Math. Appl. 130 (2023)
Wanxiang Liu, Yanping Chen, Qiling Gu, Yunqing Huang
Virtual element method for nonlinear Sobolev equation on polygonal meshes. Numer. Algorithms 94 (4) (2023)
Huaming Yi, Yanping Chen, Yang Wang, Yunqing Huang
Optimal convergence analysis of a linearized second-order BDF-PPIFE method for semi-linear parabolic interface problems. Appl. Math. Comput. 438 (2023)
Ying Liu, Yanping Chen, Yunqing Huang
Efficient algorithm based on two-grid method for semiconductor device problem. Comput. Math. Appl. 144 (2023)
Nuodi Liu, Yanping Chen, Jianwei Zhou, Yunqing Huang
Superconvergence analysis for time-domain Maxwell's equations in a Havriliak-Negami dispersive medium. Appl. Math. Lett. 145 (2023)
Wenping Yuan, Hui Liang, Yanping Chen
On the convergence of piecewise polynomial collocation methods for variable-order space-fractional diffusion equations. Math. Comput. Simul. 209 (2023)
Zhijun Tan, Kang Li, Yanping Chen
A fully discrete two-grid finite element method for nonlinear hyperbolic integro-differential equation. Appl. Math. Comput. 413 (2022)
Li-Bin Liu, Yanping Chen
A posteriori error estimation and adaptive strategy for a nonlinear fractional differential equation. Int. J. Comput. Math. 99 (2) (2022)
Yanping Chen, Xiuxiu Lin, Yunqing Huang
Error analysis of spectral approximation for space-time fractional optimal control problems with control and state constraints. J. Comput. Appl. Math. 413 (2022)
Wenting Mao, Yanping Chen, Huasheng Wang
A posteriori error estimations of the Petrov-Galerkin methods for fractional Helmholtz equations. Numer. Algorithms 89 (3) (2022)
Yanping Chen, Qingfeng Li, Huaming Yi, Yunqing Huang
Immersed finite element method for time fractional diffusion problems with discontinuous coefficients. Comput. Math. Appl. 128 (2022)
Wenting Mao, Yanping Chen, Huasheng Wang
A-posteriori error estimations of the GJF-Petrov-Galerkin methods for fractional differential equations. Comput. Math. Appl. 90 (2021)
Hanzhang Hu, Yanping Chen
Analysis of finite element two-grid algorithms for two-dimensional nonlinear Schrödinger equation with wave operator. J. Comput. Appl. Math. 397 (2021)
Bo Tang, Yanping Chen, Xiuxiu Lin
A posteriori error estimates of spectral Galerkin methods for multi-term time fractional diffusion equations. Appl. Math. Lett. 120 (2021)
Huasheng Wang, Yanping Chen, Yunqing Huang, Wenting Mao
A Petrov-Galerkin spectral method for fractional convection-diffusion equations with two-sided fractional derivative. Int. J. Comput. Math. 98 (3) (2021)
Yang Wang, Yanping Chen, Yunqing Huang, Huaming Yi
A Family of Two-Grid Partially Penalized Immersed Finite Element Methods for Semi-linear Parabolic Interface Problems. J. Sci. Comput. 88 (3) (2021)
Haitao Leng, Yanping Chen
Residual-type a posteriori error analysis of HDG methods for Neumann boundary control problems. Adv. Comput. Math. 47 (3) (2021)
Qingfeng Li, Yanping Chen, Yunqing Huang, Yang Wang
Two-grid methods for nonlinear time fractional diffusion equations by L1-Galerkin FEM. Math. Comput. Simul. 185 (2021)
Jiaoyan Zeng, Yanping Chen, Guichang Liu
Rough polyharmonic splines method for optimal control problem governed by parabolic systems with rough coefficient. Comput. Math. Appl. 80 (1) (2020)
Peizhen Wang, Yanping Chen, Wei Yang
Corrigendum to "Curl recovery for the lowest order rectangular edge element" [Applied Mathematics and Computation 371 (2020) 124897]. Appl. Math. Comput. 372 (2020)
Hanzhang Hu, Yanping Chen
A two-grid method for characteristic expanded mixed finite element solution of miscible displacement problem. Numer. Linear Algebra Appl. 27 (3) (2020)
Hanzhang Hu, Yanping Chen, Yunqing Huang
A characteristic finite element two-grid algorithm for a compressible miscible displacement problem. Adv. Comput. Math. 46 (2) (2020)
Yanping Chen, Xiuxiu Lin, Yunqing Huang, Qian Lin
spectral element approximation for integral state constrained optimal control problems governed by harmonic equations. J. Comput. Appl. Math. 371 (2020)
Yang Wang, Yanping Chen, Yunqing Huang
A two-grid method for semi-linear elliptic interface problems by partially penalized immersed finite element methods. Math. Comput. Simul. 169 (2020)
Peizhen Wang, Yanping Chen, Wei Yang
Curl recovery for the lowest order rectangular edge element. Appl. Math. Comput. 371 (2020)
Hanzhang Hu, Yanping Chen
Numerical solution of two-dimensional nonlinear Schrödinger equation using a new two-grid finite element method. J. Comput. Appl. Math. 364 (2020)
Haitao Leng, Yanping Chen
Adaptive hybridizable discontinuous Galerkin methods for nonstationary convection diffusion problems. Adv. Comput. Math. 46 (3) (2020)
Xiuxiu Lin, Yanping Chen, Yunqing Huang
-norm state constraint. Numer. Algorithms 83 (3) (2020)
Yang Wang, Yanping Chen, Yunqing Huang
A two-grid Eulerian-Lagrangian localized adjoint method to miscible displacement problems with dispersion term. Comput. Math. Appl. 80 (4) (2020)
Yanping Chen, Qingfeng Li, Yang Wang, Yunqing Huang
Two-grid methods of finite element solutions for semi-linear elliptic interface problems. Numer. Algorithms 84 (1) (2020)
Haitao Leng, Yanping Chen
Residual-type a posteriori error analysis of HDG methods for Neumann boundary control problems. CoRR (2020)
Fenglin Huang, Yanping Chen, Yunqing Huang
A priori error estimates of a meshless method for optimal control problems of stochastic elliptic PDEs. Int. J. Comput. Math. 96 (5) (2019)
Haitao Leng, Yanping Chen, Yunqing Huang
Equivalent a posteriori error estimates for elliptic optimal control problems with L1-control cost. Comput. Math. Appl. 77 (2) (2019)
Chuanjun Chen, Kang Li, Yanping Chen, Yunqing Huang
Two-grid finite element methods combined with Crank-Nicolson scheme for nonlinear Sobolev equations. Adv. Comput. Math. 45 (2) (2019)
Zhikun Tian, Yanping Chen, Yunqing Huang, Jianyun Wang
Two-grid method for the two-dimensional time-dependent Schrödinger equation by the finite element method. Comput. Math. Appl. 77 (12) (2019)
Shang Liu, Yanping Chen, Yunqing Huang, Jie Zhou
An efficient two grid method for miscible displacement problem approximated by mixed finite element methods. Comput. Math. Appl. 77 (3) (2019)
Yanping Chen, Xin Zhao, Yunqing Huang
Mortar Element Method for the Time Dependent Coupling of Stokes and Darcy Flows. J. Sci. Comput. 80 (2) (2019)
Yunxia Wei, Yanping Chen
A Jacobi Spectral Method for Solving Multidimensional Linear Volterra Integral Equation of the Second Kind. J. Sci. Comput. 79 (3) (2019)
Yunxia Wei, Yanping Chen, Yunqing Huang
Legendre Collocation Method for Volterra Integro-Differential Algebraic Equation. Comput. Methods Appl. Math. 19 (4) (2019)
Haotao Cai, Yanping Chen, Yunqing Huang
A Legendre-Petrov-Galerkin method for solving Volterra integro-differential equations with proportional delays. Int. J. Comput. Math. 96 (5) (2019)
Luoping Chen, Yanping Chen, Xiong Liu
A Two-Level Sparse Grid Collocation Method for Semilinear Stochastic Elliptic Equation. Comput. Methods Appl. Math. 18 (2) (2018)
Yunxia Wei, Yanping Chen, Xiulian Shi
A spectral collocation method for multidimensional nonlinear weakly singular Volterra integral equation. J. Comput. Appl. Math. 331 (2018)
Haotao Cai, Yanping Chen
A Fractional Order Collocation Method for Second Kind Volterra Integral Equations with Weakly Singular Kernels. J. Sci. Comput. 75 (2) (2018)
Chuanjun Chen, Yanping Chen, Xin Zhao
A posteriori error estimates of two-grid finite volume element methods for nonlinear elliptic problems. Comput. Math. Appl. 75 (5) (2018)
Haitao Leng, Yanping Chen
Convergence and quasi-optimality of an adaptive finite element method for optimal control problems with integral control constraint. Adv. Comput. Math. 44 (2) (2018)
Shang Liu, Yanping Chen, Yunqing Huang, Jie Zhou
Two-grid methods for miscible displacement problem by Galerkin methods and mixed finite-element methods. Int. J. Comput. Math. 95 (8) (2018)
Guanrong Li, Yanping Chen, Yunqing Huang
A new weak Galerkin finite element scheme for general second-order elliptic problems. J. Comput. Appl. Math. 344 (2018)
Jiaoyan Zeng, Yanping Chen, Hanzhang Hu
Two-grid method for compressible miscible displacement problem by CFEM-MFEM. J. Comput. Appl. Math. 337 (2018)
Jiming Yang, Yanping Chen, Yunqing Huang
A priori error estimates of a combined mixed finite element and local discontinuous Galerkin method for an incompressible miscible displacement problem. Appl. Math. Comput. 334 (2018)
Li-Bin Liu, Yanping Chen
A-posteriori error estimation in maximum norm for a strongly coupled system of two singularly perturbed convection-diffusion problems. J. Comput. Appl. Math. 313 (2017)
Haitao Leng, Yanping Chen
Errors. J. Sci. Comput. 73 (1) (2017)
Keyan Wang, Yanping Chen
Two-grid mixed finite element method for nonlinear hyperbolic equations. Comput. Math. Appl. 74 (6) (2017)
Yin Yang, Yanping Chen, Yunqing Huang, Huayi Wei
Spectral collocation method for the time-fractional diffusion-wave equation and convergence analysis. Comput. Math. Appl. 73 (6) (2017)
Hanzhang Hu, Yanping Chen, Jie Zhou
Two-grid method for miscible displacement problem by mixed finite element methods and finite element method of characteristics. Comput. Math. Appl. 72 (11) (2016)
Yanping Chen, Fenglin Huang
-Norm State Constraint. J. Sci. Comput. 67 (1) (2016)
Yanping Chen, Jiaoyan Zeng, Jie Zhou
L p Error Estimates of Two-Grid Method for Miscible Displacement Problem. J. Sci. Comput. 69 (1) (2016)
Yanping Chen, Jianwei Zhou
Error estimates of spectral Legendre-Galerkin methods for the fourth-order equation in one dimension. Appl. Math. Comput. 268 (2015)
Zhendong Gu, Yanping Chen
Piecewise Legendre spectral-collocation method for Volterra integro-differential equations. LMS J. Comput. Math. 18 (1) (2015)
Yanping Chen, Yunqing Huang, Wenbin Liu, Ningning Yan
A mixed multiscale finite element method for convex optimal control problems with oscillating coefficients. Comput. Math. Appl. 70 (4) (2015)
Li-Bin Liu, Yanping Chen
An adaptive moving grid method for a system of singularly perturbed initial value problems. J. Comput. Appl. Math. 274 (2015)
Tianliang Hou, Yanping Chen
Superconvergence of fully discrete rectangular mixed finite element methods of parabolic control problems. J. Comput. Appl. Math. 286 (2015)
Yanping Chen, Yijie Lin
A posteriori error estimates for control problems governed by nonlinear elliptic equations in hp-FEM. Appl. Math. Comput. 238 (2014)
Fenglin Huang, Yanping Chen
Error estimates for spectral approximation of elliptic control problems with integral state and control constraints. Comput. Math. Appl. 68 (8) (2014)
Li-Bin Liu, Yanping Chen
A Robust Adaptive Grid Method for a System of Two Singularly Perturbed Convection-Diffusion Equations with Weak Coupling. J. Sci. Comput. 61 (1) (2014)
Yanping Chen, Chunmei Sun
Error estimates and superconvergence of mixed finite element methods for fourth order hyperbolic control problems. Appl. Math. Comput. 244 (2014)
Li-Bin Liu, Yanping Chen
Maximum norm a posteriori error estimates for a singularly perturbed differential difference equation with small delay. Appl. Math. Comput. 227 (2014)
Z. Gu, Yanping Chen
Chebyshev spectral-collocation method for a class of weakly singular Volterra integral equations with proportional delay. J. Num. Math. 22 (4) (2014)
Yanping Chen, Tianliang Hou, Nianyu Yi
Variational discretization for optimal control problems governed by parabolic equations. J. Syst. Sci. Complex. 26 (6) (2013)
Yanping Chen, Zuliang Lu, Min Fu
error estimates for mixed finite element approximation of nonlinear quadratic optimal control problems. Optim. Methods Softw. 28 (1) (2013)
Yanping Chen, Zuliang Lu, Yunqing Huang
Superconvergence of triangular Raviart-Thomas mixed finite element methods for a bilinear constrained optimal control problem. Comput. Math. Appl. 66 (8) (2013)
Yuelong Tang, Yanping Chen
Variational discretization for parabolic optimal control problems with control constraints. J. Syst. Sci. Complex. 25 (5) (2012)
Yunxia Wei, Yanping Chen
Legendre Spectral Collocation Methods for Pantograph Volterra Delay-Integro-Differential Equations. J. Sci. Comput. 53 (3) (2012)
Yanping Chen, Zuliang Lu
-estimates of mixed finite element methods for general nonlinear optimal control problems. J. Syst. Sci. Complex. 25 (1) (2012)
Jiming Yang, Yanping Chen
A posteriori error analysis for a fully discrete discontinuous Galerkin approximation to a kind of reactive transport problems. J. Syst. Sci. Complex. 25 (2) (2012)
Liu Yang, Yanping Chen, Xiaojiao Tong, Chunlin Deng
A new smoothing Newton method for solving constrained nonlinear equations. Appl. Math. Comput. 217 (24) (2011)
Luoping Chen, Yanping Chen
Two-Grid Method for Nonlinear Reaction-Diffusion Equations by Mixed Finite Element Methods. J. Sci. Comput. 49 (3) (2011)
Yanping Chen, Yijie Lin
A posteriori error estimates for hp finite element solutions of convex optimal control problems. J. Comput. Appl. Math. 235 (12) (2011)
Yanping Chen, Nianshi Xia, Nianyu Yi
A Legendre Galerkin spectral method for optimal control problems. J. Syst. Sci. Complex. 24 (4) (2011)
Qin Zhou, Yanping Chen, Yin Yang
Two improved algorithms and implementation for a singularly perturbed problem on moving meshes. J. Syst. Sci. Complex. 24 (6) (2011)
Yanping Chen, Fenglin Huang, Nianyu Yi, Wenbin Liu
A Legendre-Galerkin Spectral Method for Optimal Control Problems Governed by Stokes Equations. SIAM J. Numer. Anal. 49 (4) (2011)
Li-Bin Liu, Huan-Wen Liu, Yanping Chen
Polynomial spline approach for solving second-order boundary-value problems with Neumann conditions. Appl. Math. Comput. 217 (16) (2011)
Yanping Chen, Yunqing Huang, Wenbin Liu, Ningning Yan
Error Estimates and Superconvergence of Mixed Finite Element Methods for Convex Optimal Control Problems. J. Sci. Comput. 42 (3) (2010)
Jianwei Zhou, Yanping Chen, Yongquan Dai
Superconvergence of triangular mixed finite elements for optimal control problems with an integral constraint. Appl. Math. Comput. 217 (5) (2010)
Xiaoqing Xing, Yanping Chen, Nianyu Yi
Error estimates of mixed finite element methods for quadratic optimal control problems. J. Comput. Appl. Math. 233 (8) (2010)
Yanping Chen, Tao Tang
Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel. Math. Comput. 79 (269) (2010)
Yanping Chen, Tao Tang
Spectral methods for weakly singular Volterra integral equations with smooth solutions. J. Comput. Appl. Math. 233 (4) (2009)
Yanping Chen, Li Li
error estimates of two-grid schemes of expanded mixed finite element methods. Appl. Math. Comput. 209 (2) (2009)
Huan-Wen Liu, Li-Bin Liu, Yanping Chen
A semi-discretization method based on quartic splines for solving one-space-dimensional hyperbolic equations. Appl. Math. Comput. 210 (2) (2009)
Yanping Chen, Yongquan Dai
Superconvergence for Optimal Control Problems Governed by Semi-linear Elliptic Equations. J. Sci. Comput. 39 (2) (2009)
Zhiguang Xiong, Yanping Chen
A Rectangular Finite Volume Element Method for a Semilinear Elliptic Equation. J. Sci. Comput. 36 (2) (2008)
Yanping Chen
Superconvergence of mixed finite element methods for optimal control problems. Math. Comput. 77 (263) (2008)
Yanping Chen, Nianyu Yi, Wenbin Liu
A Legendre-Galerkin Spectral Method for Optimal Control Problems Governed by Elliptic Equations. SIAM J. Numer. Anal. 46 (5) (2008)
Yanping Chen
Uniform convergence analysis of finite difference approximations for singular perturbation problems on an adapted grid. Adv. Comput. Math. 24 (1-4) (2006)