Nianyu Yi

Publication Activity (10 Years)

Years Active: 2008-2024
Publications (10 Years): 26

Top Topics

Error Estimation

Boundary Conditions

Diffuse Optical Tomography

Top Venues

J. Comput. Appl. Math.

J. Sci. Comput.

J. Comput. Phys.

Publications

Yaoyao Chen, Yunqing Huang, Nianyu Yi, Peimeng Yin
Recovery Type a Posteriori Error Estimation of an Adaptive Finite Element Method for Cahn-Hilliard Equation. J. Sci. Comput. 98 (2) (2024)
Yaoyao Chen, Hailiang Liu, Nianyu Yi, Peimeng Yin
Unconditionally energy stable IEQ-FEMs for the Cahn-Hilliard equation and Allen-Cahn equation. CoRR (2024)
Jinting Yang, Nianyu Yi, Yaoyao Chen
Optimal error estimates of a SAV-FEM for the Cahn-Hilliard-Navier-Stokes model. J. Comput. Appl. Math. 438 (2024)
Huini Liu, Nianyu Yi, Peimeng Yin
A conservative relaxation Crank-Nicolson finite element method for the Schrödinger-Poisson equation. CoRR (2024)
Jinting Yang, Nianyu Yi
Convergence analysis of a decoupled pressure-correction SAV-FEM for the Cahn-Hilliard-Navier-Stokes model. J. Comput. Appl. Math. 449 (2024)
Huini Liu, Nianyu Yi
Optimal a priori error estimate of relaxation-type linear finite element method for nonlinear Schrödinger equation. J. Comput. Appl. Math. 428 (2023)
Yaoyao Chen, Yunqing Huang, Nianyu Yi, Peimeng Yin
Recovery type a posteriori error estimation of an adaptive finite element method for Cahn-Hilliard equation. CoRR (2023)
Nianyu Yi, Hailiang Liu
A mass- and energy-conserved DG method for the Schrödinger-Poisson equation. Numer. Algorithms 89 (2) (2022)
Fei Li, Nianyu Yi
A posteriori error estimates of goal-oriented adaptive finite element methods for nonlinear reaction-diffusion problems. J. Comput. Appl. Math. 412 (2022)
Ao Li, Jian Huang, Wei Liu, Huayi Wei, Nianyu Yi
A characteristic block-centered finite difference method for Darcy-Forchheimer compressible miscible displacement problem. J. Comput. Appl. Math. 413 (2022)
Fei Li, Nianyu Yi
Analysis of a goal-oriented adaptive two-grid finite-element algorithm for semilinear elliptic problems. Comput. Appl. Math. 41 (3) (2022)
Yaoyao Chen, Yunqing Huang, Nianyu Yi
Error analysis of a decoupled, linear and stable finite element method for Cahn-Hilliard-Navier-Stokes equations. Appl. Math. Comput. 421 (2022)
Chao Wu, Yunqing Huang, Nianyu Yi, Huayi Wei, Jinyun Yuan
Function and Curl Recovery for the Lowest Order Triangular Edge Element. J. Sci. Comput. 93 (2) (2022)
Jian-Hua Chen, Nianyu Yi
Infinite-Time Admissibility and Exact Observability of Volterra Systems. SIAM J. Control. Optim. 59 (2) (2021)
Huihui Cao, Yunqing Huang, Nianyu Yi
Adaptive direct discontinuous Galerkin method for elliptic equations. Comput. Math. Appl. 97 (2021)
Chao Wu, H. Zeng, Yunqing Huang, Nianyu Yi, Jinyun Yuan
Superconvergence recovery of cubic edge elements for Maxwell's equations. J. Comput. Appl. Math. 389 (2021)
Huihui Cao, Hengguang Li, Nianyu Yi, Peimeng Yin
An adaptive finite element method for two-dimensional elliptic equations with line Dirac sources. CoRR (2021)
Yaoyao Chen, Yunqing Huang, Nianyu Yi
Recovery type a posteriori error estimation of adaptive finite element method for Allen-Cahn equation. J. Comput. Appl. Math. 369 (2020)
Chao Wu, Yunqing Huang, Nianyu Yi, Jinyun Yuan
Superconvergent Recovery of Rectangular Edge Finite Element Approximation by Local Symmetry Projection. J. Sci. Comput. 81 (3) (2019)
Nianyu Yi, Yunqing Huang, Hailiang Liu
A Conservative Discontinuous Galerkin Method for Nonlinear Electromagnetic Schrödinger Equations. SIAM J. Sci. Comput. 41 (6) (2019)
Yidan Zhang, Yunqing Huang, Nianyu Yi
Superconvergence of the Crouzeix-Raviart element for elliptic equation. Adv. Comput. Math. 45 (5) (2019)
Yaoyao Chen, Yunqing Huang, Nianyu Yi
A SCR-based error estimation and adaptive finite element method for the Allen-Cahn equation. Comput. Math. Appl. 78 (1) (2019)
Congying Li, Yunqing Huang, Nianyu Yi
An unconditionally energy stable second order finite element method for solving the Allen-Cahn equation. J. Comput. Appl. Math. 353 (2019)
Nianyu Yi, Yunqing Huang, Wei Yang
Function, Derivative and High-Order Derivatives Recovery Methods Using the Local Symmetry Projection. J. Sci. Comput. 74 (1) (2018)
Guanghui Hu, Nianyu Yi
An adaptive finite volume solver for steady Euler equations with non-oscillatory k-exact reconstruction. J. Comput. Phys. 312 (2016)
Hailiang Liu, Nianyu Yi
A Hamiltonian preserving discontinuous Galerkin method for the generalized Korteweg-de Vries equation. J. Comput. Phys. 321 (2016)
Yunqing Huang, Wei Yang, Nianyu Yi
Superconvergence analysis for the explicit polynomial recovery method. J. Comput. Appl. Math. 265 (2014)
Yanping Chen, Tianliang Hou, Nianyu Yi
Variational discretization for optimal control problems governed by parabolic equations. J. Syst. Sci. Complex. 26 (6) (2013)
Nianyu Yi, Yunqing Huang, Hailiang Liu
A direct discontinuous Galerkin method for the generalized Korteweg-de Vries equation: Energy conservation and boundary effect. J. Comput. Phys. 242 (2013)
Yunqing Huang, Hailiang Liu, Nianyu Yi
projection. J. Comput. Phys. 231 (4) (2012)
Yanping Chen, Nianshi Xia, Nianyu Yi
A Legendre Galerkin spectral method for optimal control problems. J. Syst. Sci. Complex. 24 (4) (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)
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)
Yunqing Huang, Nianyu Yi
The Superconvergent Cluster Recovery Method. J. Sci. Comput. 44 (3) (2010)
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)