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

DOI10.1016/j.camwa.2020.10.026OpenAlexW3106917724WikidataQ114201556 ScholiaQ114201556MaRDI QIDQ2226772

Aijie Cheng, Yang Liu

Publication date: 9 February 2021

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2020.10.026

zbMATH Keywords

optimal controlDirichlet boundary conditionelliptic equationsfinite point methodmeshless weighted least squares method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Discrete approximations in optimal control (49M25)

Related Items (3)

A diagonal finite element-projection-proximal gradient algorithm for elliptic optimal control problem ⋮ Optimal control of three-dimensional unsteady partial differential equations with convection term in continuous casting ⋮ Mixed finite element method for a second order Dirichlet boundary control problem

Cites Work

• Unnamed Item
• An adaptive meshless local Petrov-Galerkin method based on a posteriori error estimation for the boundary layer problems
• Error estimates for the finite point method
• Moving least-square reproducing kernel methods. I: Methodology and convergence
• An optimal control problem for two-phase compressible-incompressible flows
• Multigrid optimization for DNS-based optimal control in turbulent channel flows
• A high-order meshless Galerkin method for semilinear parabolic equations on spheres
• An accurate and stable RBF method for solving partial differential equations
• Meshless methods for solving Dirichlet boundary optimal control problems governed by elliptic PDEs
• Numerical solution of a parabolic optimal control problem arising in economics and management
• Finite element approximations of impulsive optimal control problems for heat equations
• Numerical optimal control of a size-structured PDE model for metastatic cancer treatment
• Finite element method for parabolic optimal control problems with a bilinear state equation
• Radial basis function methods for optimal control of the convection-diffusion equation: a numerical study
• Mixed and discontinuous finite volume element schemes for the optimal control of immiscible flow in porous media
• Mixed Finite Element Method for Dirichlet Boundary Control Problem Governed by Elliptic PDEs
• Surfaces Generated by Moving Least Squares Methods
• Analysis of Finite Difference Approximations of an Optimal Control Problem in Economics

This page was built for publication: Two meshless methods for Dirichlet boundary optimal control problem governed by elliptic PDEs