Optimal control of three-dimensional unsteady partial differential equations with convection term in continuous casting

Y Yu, Y Wang, X Pang, L Sun - Computers & Mathematics with Applications, 2024 - Elsevier
In this paper, we investigate an optimal control problem (OCP) for three-dimensional (3D)
unsteady partial differential equations with convection term (UPDECT), extensively applied …

Anti-aliasing of gray-scale/color/outline images: looking through the lens of numerical approaches for PDE-based models

Y Lotfi, K Parand - Computers & Mathematics with Applications, 2022 - Elsevier
Down-sampling in the process of saving and transferring images often leads to the
appearance of jaggies or step like edges in the objects of images where they should be …

[PDF][PDF] A numerical method based on barycentric interpolation collocation for nonlinear convection-diffusion optimal control problems.

R Huang, Z Weng - Networks & Heterogeneous Media, 2023 - aimspress.com
This paper describes a study of the barycentric interpolation collocation method for the
optimal control problem governed by a nonlinear convection-diffusion equation. Using …

Two meshless methods for Dirichlet boundary optimal control problem governed by elliptic PDEs

Y Liu, AJ Cheng - Computers & Mathematics with Applications, 2021 - Elsevier
In this paper, finite point method (FPM) and meshless weighted least squares (MWLS)
method are proposed for solving Dirichlet boundary optimal control problems governed by …

基于径向基函数的自适应网格方法

段献葆, 党妍, 秦玲 - 工程数学学报, 2020 - jgsx-csiam.org.cn
本文给出了一种基于径向基函数的自适应网格方法. 该方法利用网格依赖方法的解与径向基函数
插值解的信息来细化或粗化网格, 充分利用了径向基函数计算格式简单, 节点配置灵活的优点与 …

A meshfree method for a PDE-constrained optimization problem

D Hoff, H Wendland - SIAM Journal on Numerical Analysis, 2021 - SIAM
We describe a new approximation method for solving a PDE-constrained optimization
problem numerically. Our method is based on the adjoint formulation of the optimization …

RBF collocation and hybrid-LHI methods for Stokes systems and its application to controllability problems

L Breton, P González-Casanova, C Montoya - Computational and Applied …, 2021 - Springer
The purpose of this article is to introduce radial basis function (RBF) methods for solving
both direct Stokes equations and controllability problems for the Stokes system with few …

[HTML][HTML] The localized method of approximate particular solutions for solving an optimal control problem

K Acheampong, H Guan, H Zhu - Journal of Computational Mathematics …, 2022 - Elsevier
In this paper, we consider the localized method of approximate particular solutions (LMAPS)
for solving a two-dimensional distributive optimal control problem governed by elliptic partial …

Meshless RBF Method for Linear and Nonlinear Sobolev Equations

M Nemati, M Shafiee, H Ebrahimi - Iranian Journal of Optimization, 2020 - ijo.rasht.iau.ir
Radial Basis Functions are considered as important tools for scattered data interpolation.
Collocation procedure is a powerful technique in meshless methods which is developed on …

[PDF][PDF] Radial basis function methods for PDEs controllability and constrained optimization problems: Recent results.

PG Casanova - smm.org.mx
Radial basis functions are highly effective meshfree methods for the solution of PDEs
problems. These methods can be divided into global and local techniques. Although global …