The controllability for the semi-discrete wave equation with a finite element method

DOI10.1186/1687-1847-2013-160zbMath1390.93161OpenAlexW2154513343WikidataQ59301293 ScholiaQ59301293MaRDI QIDQ1648766

Xin Yu, Guojie Zheng

Publication date: 27 June 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-160

zbMATH Keywords

wave equationobservability inequalityfinite element approximation

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Nonlinear boundary value problems for linear elliptic equations (35J65) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (1)

On the existence in the sense of sequences of stationary solutions for some systems of non-Fredholm integro-differential equations

Cites Work

• Boundary controllability of a linear semi-discrete 1-D wave equation derived from a mixed finite element method
• An Approach to the Optimal Time for a Time Optimal Control Problem of an Internally Controlled Heat Equation
• Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
• Boundary observability for the space semi-discretizations of the 1 – d wave equation
• Propagation, Observation, and Control of Waves Approximated by Finite Difference Methods
• Numerical approximation of the boundary control for the wave equation with mixed finite elements in a square

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