Zobrazeno 1 - 10
of 81
pro vyhledávání: '"Zhaojie Zhou"'
Publikováno v:
Mathematical Modelling and Analysis, Vol 29, Iss 1 (2024)
In this paper a two grid algorithm for quasilinear elliptic problem based on virtual element method (VEM) discretization is proposed. With this new algorithm the solution of a quasilinear elliptic problem on a fine grid is reduced to the solution of
Externí odkaz:
https://doaj.org/article/3e5b8766741e40029daf0ef40a5c42b3
Publikováno v:
Asian Journal of Pharmaceutical Sciences, Vol 16, Iss 6, Pp 668-686 (2021)
Photodynamic therapy (PDT) is highly effective in treating tumors located near body surface, offering strong tumor suppression and low damage to normal tissue nearby. PDT is also effective for treating a number of other conditions. PDT not only provi
Externí odkaz:
https://doaj.org/article/6f4bbb5e0e5e4045a47675c4918b7730
Autor:
Jie Liu, Zhaojie Zhou
Publikováno v:
AIMS Mathematics, Vol 6, Iss 1, Pp 979-997 (2021)
In this paper we investigate the finite element approximation of time fractional optimal control problem with integral state constraint. A space-time finite element scheme for the control problem is developed with piecewise constant time discretizati
Externí odkaz:
https://doaj.org/article/f787517d3be24d868602a86c0a4853d1
Publikováno v:
Fractal and Fractional, Vol 5, Iss 3, p 102 (2021)
In this paper spectral Galerkin approximation of optimal control problem governed by fractional advection diffusion reaction equation with integral state constraint is investigated. First order optimal condition of the control problem is discussed. W
Externí odkaz:
https://doaj.org/article/662eb4ed614540d7876108ae74a25f46
Autor:
Qiming Wang, Zhaojie Zhou
Publikováno v:
Entropy, Vol 23, Iss 6, p 723 (2021)
In this paper, the streamline upwind/Petrov Galerkin (SUPG) stabilized virtual element method (VEM) for optimal control problem governed by a convection dominated diffusion equation is investigated. The virtual element discrete scheme is constructed
Externí odkaz:
https://doaj.org/article/cdf79ad2a3414b938b48803dc8583dd5
Autor:
Fengxin Chen, Zhaojie Zhou
Publikováno v:
Mathematical Modelling and Analysis, Vol 22, Iss 5 (2017)
In this paper we investigate a semi-discrete H1 -Galerkin mixed finite element approximation of one kind of nolocal second order nonlinear hyperbolic equation, which is often used to describe vibration of an elastic string. A priori error estimates f
Externí odkaz:
https://doaj.org/article/baf40ffa348e4e6892195cb464ba82ff
Autor:
Qingjin Xu, Zhaojie Zhou
Publikováno v:
Journal of Mathematics, Vol 2017 (2017)
In this paper, we investigate a mixed discontinuous Galerkin approximation of time dependent convection diffusion optimal control problem with control constraints based on the combination of a mixed finite element method for the elliptic part and a d
Externí odkaz:
https://doaj.org/article/aa4451dd08064cd9a0c8bac651163422
Publikováno v:
Abstract and Applied Analysis, Vol 2013 (2013)
We investigate an H1-Galerkin expanded mixed finite element approximation of nonlinear second-order hyperbolic equations, which model a wide variety of phenomena that involve wave motion or convective transport process. This method possesses some fea
Externí odkaz:
https://doaj.org/article/17ca62458f1b48368ca5fa7241c0af63
Autor:
Jing Chen1 614005@sdnu.edu.cn, Zhaojie Zhou2 zhouzhaojie@sdnu.edu.cn, Huanzhen Chen2 chhzh@sdnu.edu.cn, Hong Wang3 hwang@math.sc.edu
Publikováno v:
Journal of Computational Mathematics. 2023, Vol. 41 Issue 5, p817-841. 25p.
Publikováno v:
East Asian Journal on Applied Mathematics. 13:140-161