A mixed formulation for the direct approximation of \(L^2\)-weighted controls for the linear heat equation
From MaRDI portal
Publication:5965005
DOI10.1007/s10444-015-9412-5zbMath1336.35181OpenAlexW2084328759MaRDI QIDQ5965005
Publication date: 2 March 2016
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10444-015-9412-5
Numerical optimization and variational techniques (65K10) Initial-boundary value problems for higher-order parabolic equations (35K35) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)
Related Items
Inverse problems for linear parabolic equations using mixed formulations. Part 1: Theoretical analysis ⋮ On the controllability of an advection-diffusion equation with respect to the diffusion parameter: asymptotic analysis and numerical simulations ⋮ Constructive exact control of semilinear 1D heat equations ⋮ Exact boundary controllability of 1D semilinear wave equations through a constructive approach ⋮ Controllability of a simplified time-discrete stabilized Kuramoto-Sivashinsky system ⋮ Exact controllability of semilinear heat equations through a constructive approach ⋮ Numerical Stackelberg--Nash Control for the Heat Equation ⋮ Fully discrete finite element data assimilation method for the heat equation ⋮ On the numerical controllability of the two-dimensional heat, Stokes and Navier-Stokes equations ⋮ Approximation of null controls for semilinear heat equations using a least-squares approach
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical exact controllability of the 1D heat equation: duality and Carleman weights
- A mixed formulation for the direct approximation of the control of minimal \(L^2\)-norm for linear type wave equations
- On the regularity of null-controls of the linear 1-d heat equation
- Uniform controllability properties for space/time-discretized parabolic equations
- On exact and approximate boundary controllabilities for the heat equation: A numerical approach
- Numerical null controllability of semi-linear 1-D heat equations: fixed point, least squares and Newton methods
- Strong convergent approximations of null controls for the 1D heat equation
- Convergence of the Hilbert uniqueness method via Tikhonov regularization
- A least-squares formulation for the approximation of controls for the Stokes system
- On the observability of abstract time-discrete linear parabolic equations
- Uniform controllability of semidiscrete approximations of parabolic control systems
- On the Dirichlet boundary controllability of the one-dimensional heat equation: semi-analytical calculations and ill-posedness degree
- The inf-sup test
- On the penalised HUM approach and its applications to the numerical approximation of null-controls for parabolic problems
- Numerical approximation of null controls for the heat equation: Ill-posedness and remedies
- High degree efficient symmetrical Gaussian quadrature rules for the triangle
- Mixed and Hybrid Finite Element Methods
- Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions
- Contróle Exact De Léquation De La Chaleur
- Numerical null controllability of the heat equation through a least squares and variational approach
- Controllability of the Linear One-dimensional Wave Equation with Inner Moving Forces
- Exact and Approximate Controllability for Distributed Parameter Systems
- Numerical controllability of the wave equation through primal methods and Carleman estimates
