Adaptive virtual element method for optimal control problem governed by general elliptic equation
Q Wang, Z Zhou - Journal of Scientific Computing, 2021 - Springer
In this paper a posteriori error analysis of virtual element method (VEM) for the optimal
control problem governed by general elliptic equation is presented. The virtual element …
control problem governed by general elliptic equation is presented. The virtual element …
Mimetic discretizations of elliptic control problems
PF Antonietti, N Bigoni, M Verani - Journal of Scientific Computing, 2013 - Springer
We investigate the performance of the Mimetic Finite Difference (MFD) method for the
approximation of a constraint optimal control problem governed by an elliptic operator. Low …
approximation of a constraint optimal control problem governed by an elliptic operator. Low …
Some error estimates of finite volume element method for parabolic optimal control problems
In this paper, the finite volume element method (FVEM) is applied to solve the distributed
optimal control problems governed by parabolic equation. We use the method of variational …
optimal control problems governed by parabolic equation. We use the method of variational …
[PDF][PDF] SOME ERROR ESTIMATES OF FINITE VOLUME ELEMENT APPROXIMATION FOR ELLIPTIC OPTIMAL CONTROL PROBLEMS.
In this paper, finite volume element method is applied to solve the distributed optimal control
problems governed by an elliptic equation. We use the method of variational discretization …
problems governed by an elliptic equation. We use the method of variational discretization …
Mimetic finite differences for nonlinear and control problems
PF Antonietti, L Beirão da Veiga, N Bigoni… - … Models and Methods …, 2014 - World Scientific
In this paper we review some recent applications of the mimetic finite difference method to
nonlinear problems (variational inequalities and quasilinear elliptic equations) and optimal …
nonlinear problems (variational inequalities and quasilinear elliptic equations) and optimal …
An unfitted HDG method for a distributed optimal control problem
E Henríquez, M Solano - Journal of Computational and Applied …, 2024 - Elsevier
We analyze a high order hybridizable discontinuous Galerkin (HDG) method for an optimal
control problem where the computational mesh does not necessarily fit the domain. The …
control problem where the computational mesh does not necessarily fit the domain. The …
Two‐grid mixed finite element method for two‐dimensional time‐dependent Schrödinger equation
Z Tian, Y Chen, Y Huang, J Wang - Mathematical Methods in …, 2023 - Wiley Online Library
In this paper, we study the semidiscrete mixed finite element scheme and construct a two‐
grid algorithm for the two‐dimensional time‐dependent Schrödinger equation. We analyze …
grid algorithm for the two‐dimensional time‐dependent Schrödinger equation. We analyze …
An interface-unfitted finite element method for elliptic interface optimal control problem
CC Yang, T Wang, X Xie - arXiv preprint arXiv:1805.04844, 2018 - arxiv.org
This paper develops and analyses numerical approximation for linear-quadratic optimal
control problem governed by elliptic interface equations. We adopt variational discretization …
control problem governed by elliptic interface equations. We adopt variational discretization …
Error Estimates of hp Spectral Element Methods in Nonlinear Optimal Control Problem
X Lin, Y Chen, Y Huang - Journal of Nonlinear Science, 2024 - Springer
The main purpose of this paper is to discuss hp spectral element method for optimal control
problem governed by a nonlinear elliptic equation with L 2-norm constraint for control …
problem governed by a nonlinear elliptic equation with L 2-norm constraint for control …
[PDF][PDF] Variational discretization combined with fully discrete splitting positive definite mixed finite elements for parabolic optimal control problems
Y Tang, Y Hua - J. Nonlinear Funct. Anal, 2023 - jnfa.mathres.org
In this paper, we consider a variational discretization combined with fully discrete splitting
positive definite mixed finite element approximation of parabolic optimal control problems …
positive definite mixed finite element approximation of parabolic optimal control problems …