A bicubic B-spline finite element method for fourth-order semilinear parabolic optimal control problems
From MaRDI portal
Publication:6623068
DOI10.1007/s10473-024-0619-8MaRDI QIDQ6623068
Publication date: 23 October 2024
Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)
Crank-Nicolson schemeoptimal control problemnumerical experimentBogner-Fox-Schmit elementbicubic B-spline finite element method
Optimality conditions for problems involving partial differential equations (49K20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Discrete approximations in optimal control (49M25)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- High accuracy cubic spline approximation for two dimensional quasi-linear elliptic boundary value problems
- A composite Chebyshev finite difference method for nonlinear optimal control problems
- A priori error estimates for optimal control problems governed by transient advection-diffusion equations
- Programming finite element methods with weighted B-splines
- Optimal control of a population dynamics model with hysteresis
- A B-spline finite element method for nonlinear differential equations describing crystal surface growth with variable coefficient
- The Bogner-Fox-Schmit element finite volume methods on the Shishkin mesh for fourth-order singularly perturbed elliptic problems
- Analysis and discretization for an optimal control problem of a variable-coefficient Riesz-fractional diffusion equation with pointwise control constraints
- A Legendre–Galerkin Spectral Method for Optimal Control Problems Governed by Stokes Equations
- Optimization with PDE Constraints
- A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part I: Problems Without Control Constraints
- A Legendre–Galerkin Spectral Method for Optimal Control Problems Governed by Elliptic Equations
- Finite Element Methods with B-Splines
- Optimal control for a higher-order nonlinear parabolic equation describing crystal surface growth
- Crank–Nicolson finite difference schemes for parabolic optimal Dirichlet boundary control problems
- An optimal control problem for a Lotka-Volterra competition model with chemo-repulsion
This page was built for publication: A bicubic B-spline finite element method for fourth-order semilinear parabolic optimal control problems