An indirect shooting method based on the POD/DEIM technique for distributed optimal control of the wave equation

Author:

Sabeh Z.1,Shamsi Mostafa1ORCID,Navon Ionel Michael2ORCID

Affiliation:

1. Department of Applied Mathematics, Faculty of Mathematics and Computer Science; Amirkabir University of Technology; Tehran Iran

2. Department of Scientific Computing; Florida State University; Tallahassee FL 32306-4120 USA

Publisher

Wiley

Subject

Applied Mathematics,Computer Science Applications,Mechanical Engineering,Mechanics of Materials,Computational Mechanics

Reference62 articles.

1. Shooting methods for numerical solutions of exact controllability problems constrained by linear and semilinear 2-D wave equations;Yang;Int J Numer Anal Model,2007

2. Kroner A Numerical methods for control of second order hyperbolic equations Ph.D. Thesis 2011

3. A fast and stable preconditioned iterative method for optimal control problem of wave equations;Li;SIAM J Sci Comput,2015

4. Boundary optimal control of the Westervelt and the Kuznetsov equations;Clason;J Math Anal Appl,2009

5. Banks HT Keeling SL Silcox RJ Optimal control techniques for active noise suppression Austin, Texas, USA 1988 2006 2011

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1. Solving coupled non-linear higher order BVPs using improved shooting method;International Journal of Mathematics and Computer in Engineering;2024-01-10

2. A Parallel-In-Time Block-Circulant Preconditioner for Optimal Control of Wave Equations;SIAM Journal on Scientific Computing;2020-01

3. Shooting by a Two-Step Galerkin Method;IEEE Transactions on Circuits and Systems I: Regular Papers;2019-01

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