Uniform boundary observability with Legendre-Galerkin formulations of the 1-D wave equation
type: Item
instance of: scholarly article
title: Uniform boundary observability with Legendre-Galerkin formulations of the 1-D wave equation
zbMATH Open document ID: 1477.93121
author: Ludovick Gagnon
author: José M. Urquiza
published in: Evolution Equations and Control Theory
publication date: 2021-12-24T00:00:00Z
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93B07
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 35L05
Mathematics Subject Classification ID: 65M70
zbMATH DE Number: 7450636
zbMATH Keywords: controllability
zbMATH Keywords: observability
zbMATH Keywords: wave equation
zbMATH Keywords: uniform observability
zbMATH Keywords: Legendre-Galerkin
MaRDI profile type: Publication
full work available at URL: eect.2020054
OpenAlex ID: W3027272122
cites work: An Interior Penalty Finite Element Method with Discontinuous Elements
cites work: Negative Norm Estimates for Fully Discrete Finite Element Approximations to the Wave Equation with Nonhomogeneous L 2 Dirichlet Boundary Data
cites work: Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
cites work: On the eigenvalues of the spectral second order differentiation operator and application to the boundary observability of the wave equation
cites work: Condition nécessaire et suffisante pour la contrôlabilité exacte des ondes
cites work: Spectral Methods
cites work: Boundary controllability of a linear semi-discrete 1-D wave equation derived from a mixed finite element method
cites work: Numerical approximation of the boundary control for the wave equation with mixed finite elements in a square
cites work: Optimal sampled-data control systems. Reprint of the 1995 orig
cites work: A General Theory of Observation and Control
cites work: Numerical Approximation of Exact Controls for Waves
cites work: Ensuring well-posedness by analogy; Stokes problem and boundary control for the wave equation
cites work: A mixed finite element formulation for the boundary controllability of the wave equation
cites work: A numerical approach to the exact boundary controllability of the wave equation (I) Dirichlet controls: Description of the numerical methods
cites work: Discontinuous Galerkin Finite Element Method for the Wave Equation
cites work: Nitsche's method for interface problems in computa-tional mechanics
cites work: Filtering in Legendre spectral methods
cites work: Boundary observability for the space semi-discretizations of the 1 – d wave equation
cites work: Q4851730
cites work: Non homogeneous boundary value problems for second order hyperbolic operators
cites work: Regularity of hyperbolic equations under \(L^ 2(0,T;L_ 2(\Gamma))\)- Dirichlet boundary terms
cites work: Exact Controllability of the Euler–Bernoulli Equation with Controls in the Dirichlet and Neumann Boundary Conditions: A Nonconservative Case
cites work: Exact controllability of the wave equation with Neumann boundary control
cites work: Differential and algebraic Riccati equations with application to boundary/point control problems: Continuous theory and approximation theory
cites work: Q4040043
cites work: Symmetric Discontinuous Galerkin Methods for 1-D Waves
cites work: Convergence of a multigrid method for the controllability of a 1-D wave equation.
cites work: Q2550279
cites work: Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials
cites work: Q1110470
cites work: Q3532992
cites work: On the eigenvalues of second-order spectral differentiation operators
cites work: On the constants in \(hp\)-finite element trace inverse inequalities.
cites work: Boundary observability for the finite-difference space semi-discretizations of the 2-D wave equation in the square
cites work: Propagation, Observation, and Control of Waves Approximated by Finite Difference Methods
DOI: 10.3934/EECT.2020054
description: scientific article; zbMATH DE number 7450636