An Effective Computational Scheme for the Optimal Control of Wave Equations

Jun Liu; Buyang Li; Mingqing Xiao

doi:10.1016/j.ifacol.2016.10.279

An Effective Computational Scheme for the Optimal Control of Wave Equations

Jun Liu, Buyang Li, Mingqing Xiao

Research output: Journal article publication › Journal article › Academic research › peer-review

Abstract

With a standard second-order central finite difference scheme in space, the full discretization is proved to be unconditionally convergent with a second-order accuracy. Moreover, based on its favorable structure, an efficient preconditioned iterative method is provided for solving the discretized unsymmetric sparse linear system. Numerical examples are presented to confirm our theoretical conclusions and demonstrate the promising performance of our proposed algorithms.

Original language	English
Pages (from-to)	891-896
Number of pages	6
Journal	IFAC-PapersOnLine
Volume	49
Issue number	18
DOIs	https://doi.org/10.1016/j.ifacol.2016.10.279
Publication status	Published - 1 Jan 2016

Keywords

Leapfrog scheme
Multigrid method
Optimal control
Wave equation

ASJC Scopus subject areas

Control and Systems Engineering

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10.1016/j.ifacol.2016.10.279

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An Effective Computational Scheme for the Optimal Control of Wave Equations

Abstract

Keywords

ASJC Scopus subject areas

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