Nianyu Yi

Orcid: 0000-0002-2106-8237

According to our database1, Nianyu Yi authored at least 35 papers between 2008 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

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Bibliography

2024
Optimal error estimates of a SAV-FEM for the Cahn-Hilliard-Navier-Stokes model.
J. Comput. Appl. Math., March, 2024

Recovery Type a Posteriori Error Estimation of an Adaptive Finite Element Method for Cahn-Hilliard Equation.
J. Sci. Comput., February, 2024

Convergence analysis of a decoupled pressure-correction SAV-FEM for the Cahn-Hilliard-Navier-Stokes model.
J. Comput. Appl. Math., 2024

A posteriori error estimators for fourth order elliptic problems with concentrated loads.
CoRR, 2024

A conservative relaxation Crank-Nicolson finite element method for the Schrödinger-Poisson equation.
CoRR, 2024

Unconditionally energy stable IEQ-FEMs for the Cahn-Hilliard equation and Allen-Cahn equation.
CoRR, 2024

2023
Optimal a priori error estimate of relaxation-type linear finite element method for nonlinear Schrödinger equation.
J. Comput. Appl. Math., August, 2023

2022
Analysis of a goal-oriented adaptive two-grid finite-element algorithm for semilinear elliptic problems.
Comput. Appl. Math., April, 2022

A mass- and energy-conserved DG method for the Schrödinger-Poisson equation.
Numer. Algorithms, 2022

Function and Curl Recovery for the Lowest Order Triangular Edge Element.
J. Sci. Comput., 2022

A posteriori error estimates of goal-oriented adaptive finite element methods for nonlinear reaction-diffusion problems.
J. Comput. Appl. Math., 2022

A characteristic block-centered finite difference method for Darcy-Forchheimer compressible miscible displacement problem.
J. Comput. Appl. Math., 2022

Error analysis of a decoupled, linear and stable finite element method for Cahn-Hilliard-Navier-Stokes equations.
Appl. Math. Comput., 2022

2021
Infinite-Time Admissibility and Exact Observability of Volterra Systems.
SIAM J. Control. Optim., 2021

Superconvergence recovery of cubic edge elements for Maxwell's equations.
J. Comput. Appl. Math., 2021

An adaptive finite element method for two-dimensional elliptic equations with line Dirac sources.
CoRR, 2021

Adaptive direct discontinuous Galerkin method for elliptic equations.
Comput. Math. Appl., 2021

2020
Recovery type a posteriori error estimation of adaptive finite element method for Allen-Cahn equation.
J. Comput. Appl. Math., 2020

2019
A Conservative Discontinuous Galerkin Method for Nonlinear Electromagnetic Schrödinger Equations.
SIAM J. Sci. Comput., 2019

Superconvergent Recovery of Rectangular Edge Finite Element Approximation by Local Symmetry Projection.
J. Sci. Comput., 2019

An unconditionally energy stable second order finite element method for solving the Allen-Cahn equation.
J. Comput. Appl. Math., 2019

A SCR-based error estimation and adaptive finite element method for the Allen-Cahn equation.
Comput. Math. Appl., 2019

Superconvergence of the Crouzeix-Raviart element for elliptic equation.
Adv. Comput. Math., 2019

2018
Function, Derivative and High-Order Derivatives Recovery Methods Using the Local Symmetry Projection.
J. Sci. Comput., 2018

2016
A Hamiltonian preserving discontinuous Galerkin method for the generalized Korteweg-de Vries equation.
J. Comput. Phys., 2016

An adaptive finite volume solver for steady Euler equations with non-oscillatory k-exact reconstruction.
J. Comput. Phys., 2016

2014
Superconvergence analysis for the explicit polynomial recovery method.
J. Comput. Appl. Math., 2014

2013
Variational discretization for optimal control problems governed by parabolic equations.
J. Syst. Sci. Complex., 2013

A direct discontinuous Galerkin method for the generalized Korteweg-de Vries equation: Energy conservation and boundary effect.
J. Comput. Phys., 2013

2012
Recovery of normal derivatives from the piecewise L<sup>2</sup> projection.
J. Comput. Phys., 2012

2011
A Legendre-Galerkin Spectral Method for Optimal Control Problems Governed by Stokes Equations.
SIAM J. Numer. Anal., 2011

A Legendre Galerkin spectral method for optimal control problems.
J. Syst. Sci. Complex., 2011

2010
The Superconvergent Cluster Recovery Method.
J. Sci. Comput., 2010

Error estimates of mixed finite element methods for quadratic optimal control problems.
J. Comput. Appl. Math., 2010

2008
A Legendre-Galerkin Spectral Method for Optimal Control Problems Governed by Elliptic Equations.
SIAM J. Numer. Anal., 2008


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