Zobrazeno 1 - 10
of 40
pro vyhledávání: '"Yuelong Tang"'
Autor:
Yuchun Hua, Yuelong Tang
Publikováno v:
Results in Applied Mathematics, Vol 22, Iss , Pp 100445- (2024)
This paper investigates a fully discrete characteristic finite element approximation of bilinear unsteady convection–diffusion optimal control problems. The characteristic line method is used to treat the convection term and the finite element meth
Externí odkaz:
https://doaj.org/article/9649fdfd74c2453c8dccd54ac5fca899
Autor:
Jun Pan, Yuelong Tang
Publikováno v:
Electronic Research Archive, Vol 31, Iss 12, Pp 7207-7223 (2023)
In this paper, we propose a two-grid algorithm for nonlinear time fractional parabolic equations by $ H^1 $-Galerkin mixed finite element discreitzation. First, we use linear finite elements and Raviart-Thomas mixed finite elements for spatial discre
Externí odkaz:
https://doaj.org/article/bb561c40f9cf44a3904acd183e19e9bf
Autor:
Yuelong Tang
Publikováno v:
AIMS Mathematics, Vol 8, Iss 5, Pp 12506-12519 (2023)
In this paper, a mixed finite element method combined with Crank-Nicolson scheme approximation of parabolic optimal control problems with control constraint is investigated. For the state and co-state, the order Raviart-Thomas mixed finite element sp
Externí odkaz:
https://doaj.org/article/e357971dec7d4e109d92f0e4ac082553
Autor:
Xiaowu Li, Yuelong Tang
Publikováno v:
Results in Applied Mathematics, Vol 18, Iss , Pp 100365- (2023)
In this paper, we consider a two-layer Crank–Nicolson scheme combined with linear finite element approximation for second-order hyperbolic optimal control problems with control constraints. For state and co-state variables, their time derivatives a
Externí odkaz:
https://doaj.org/article/544ff1e69fea41218edf2fedaa1b9395
Autor:
Xiaowu Li, Yuelong Tang
Publikováno v:
Results in Applied Mathematics, Vol 17, Iss , Pp 100357- (2023)
In this paper, a fully discrete interpolated coefficient characteristic finite element approximation is proposed for optimal control problems governed by time-dependent semilinear convection–diffusion equations, where the hyperbolic part of the sta
Externí odkaz:
https://doaj.org/article/a1a84f74cc524b37a7856355983352bb
Autor:
Xiaowu Li, Yuelong Tang
Publikováno v:
Fractal and Fractional, Vol 7, Iss 6, p 482 (2023)
In this paper, we consider a fully discrete interpolated coefficient mixed finite element method for semilinear time fractional reaction–diffusion equations. The classic L1 scheme based on graded meshes and new mixed finite element based on triangu
Externí odkaz:
https://doaj.org/article/7778dfb7652f496b9b58dfd181a290fe
Autor:
Yuelong Tang, Yuchun Hua
Publikováno v:
Journal of Inequalities and Applications, Vol 2020, Iss 1, Pp 1-14 (2020)
Abstract In this paper, we study variational discretization method for parabolic optimization problems. Firstly, we obtain some convergence and superconvergence analysis results of the approximation scheme. Secondly, we derive a posteriori error esti
Externí odkaz:
https://doaj.org/article/574fbfd4650349de9d9a03f7c1814208
Autor:
Yuchun Hua, Yuelong Tang
Publikováno v:
Advances in Mathematical Physics, Vol 2022 (2022)
In this paper, we consider semidiscrete splitting positive definite mixed finite element methods for optimal control problems governed by hyperbolic equations with integral constraints. The state and costate are approximated by the lowest order Ravia
Externí odkaz:
https://doaj.org/article/5ee94abf72af4480a7818f7aa16a1dab
Autor:
Yuelong Tang, Yuchun Hua
Publikováno v:
Journal of Inequalities and Applications, Vol 2019, Iss 1, Pp 1-13 (2019)
Abstract In this paper, we investigate a variational discretization approximation of parabolic bilinear optimal control problems with control constraints. For the state and co-state variables, triangular linear finite element and difference methods a
Externí odkaz:
https://doaj.org/article/22f302f57d074797b7d71c3313a30d66
Autor:
Yuelong Tang, Yuchun Hua
Publikováno v:
Journal of Inequalities and Applications, Vol 2017, Iss 1, Pp 1-14 (2017)
Abstract In this paper, a semidiscrete finite element method for solving bilinear parabolic optimal control problems is considered. Firstly, we present a finite element approximation of the model problem. Secondly, we bring in some important intermed
Externí odkaz:
https://doaj.org/article/c97258e17bc74674b1079c3724e46bc5