Numerical observers with vanishing viscosity for the 1d wave equation
DOI10.1007/s10444-013-9320-5zbMath1305.65204OpenAlexW2066060996MaRDI QIDQ404145
Takéo Takahashi, Galina C. García
Publication date: 4 September 2014
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10533/127900
wave equationinverse problemnumerical experimentfinite difference discretizationreconstruction algorithmnumerical viscositynumerical observers
Control/observation systems governed by partial differential equations (93C20) System identification (93B30) Inverse problems for PDEs (35R30) Wave equation (35L05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Recovering the observable part of the initial data of an infinite-dimensional linear system with skew-adjoint generator
- Recovering the initial state of an infinite-dimensional system using observers
- A time reversal based algorithm for solving initial data inverse problems
- Reconstructing initial data using observers: Error analysis of the semi-discrete and fully discrete approximations
- Joint state and parameter estimation for distributed mechanical systems
- Uniform boundary stabilization of the finite difference space discretization of the 1-D wave equation
- Uniform exponential long time decay for the space semi-discretization of a locally damped wave equation via an artificial numerical viscosity
- Exponential convergence of an observer based on partial field measurements for the wave equation
- Quasi exponential decay of a finite difference space discretization of the 1-d wave equation by pointwise interior stabilization
- Back and forth nudging algorithm for data assimilation problems
- Internal stabilization of the plate equation in a square: the continuous and the semi-discretized problems
- Uniform boundary controllability of a discrete 1-D wave equation
- An Approximation Method for Exact Controls of Vibrating Systems
- A numerical approach to the exact boundary controllability of the wave equation (I) Dirichlet controls: Description of the numerical methods
- Time Reversal Focusing of the Initial State for Kirchhoff Plate
- Uniform Boundary Controllability of a Semidiscrete 1-D Wave Equation with Vanishing Viscosity
- Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
- Boundary observability for the space-discretizations of the 1 — d wave equation
- Boundary observability for the space semi-discretizations of the 1 – d wave equation
- Array algorithms for H/sup ∞/ estimation
- IMPROVING CONVERGENCE IN NUMERICAL ANALYSIS USING OBSERVERS — THE WAVE-LIKE EQUATION CASE
- A uniformly controllable and implicit scheme for the 1-D wave equation
- Propagation, Observation, and Control of Waves Approximated by Finite Difference Methods
- Semi-discrétisation en espace du problème de la stabilisation interne de l'équation des poutres
- Uniformly exponentially stable approximations for a class of second order evolution equations
- Discrete Ingham Inequalities and Applications
This page was built for publication: Numerical observers with vanishing viscosity for the 1d wave equation