A time reversal based algorithm for solving initial data inverse problems
From MaRDI portal
Publication:631313
DOI10.3934/dcdss.2011.4.641zbMath1209.35153OpenAlexW1983967690WikidataQ57435875 ScholiaQ57435875MaRDI QIDQ631313
Kazufumi Ito, Marius Tucsnak, Karim Ramdani
Publication date: 22 March 2011
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdss.2011.4.641
Inverse problems for PDEs (35R30) Observability (93B07) NLS equations (nonlinear Schrödinger equations) (35Q55) Initial-boundary value problems for first-order hyperbolic systems (35L50) PDEs in connection with control and optimization (35Q93)
Related Items (15)
Iterative observer-based state and parameter estimation for linear systems ⋮ Output error minimizing back and forth nudging method for initial state recovery ⋮ Recovering the initial state of an infinite-dimensional system using observers ⋮ Inverse source problem for the 1D Schrödinger equation ⋮ Numerical observers with vanishing viscosity for the 1d wave equation ⋮ Recovering the observable part of the initial data of an infinite-dimensional linear system with skew-adjoint generator ⋮ Reconstructing the initial state of the linear system and estimating its error in discretization ⋮ Time reversal method with stabilizing boundary conditions for Photoacoustic tomography ⋮ Finite time synchronization of the continuous/discrete data assimilation algorithms for Lorenz 63 system based on the back and forth nudging techniques ⋮ Internal control of the Schrödinger equation ⋮ Reconstructing initial data using observers: Error analysis of the semi-discrete and fully discrete approximations ⋮ State reconstruction of a distributed parameter system with exact observability ⋮ State reconstruction of the wave equation with general viscosity and non-collocated observation and control ⋮ Approximation of the controls for the wave equation with a potential ⋮ Luenberger Observers for Infinite-Dimensional Systems, Back and Forth Nudging, and Application to a Crystallization Process
This page was built for publication: A time reversal based algorithm for solving initial data inverse problems
