The controllability for the internally controlled 1-D wave equation via a finite difference method

DOI10.1186/S13662-016-1028-7zbMath1419.93008OpenAlexW2550831502WikidataQ59468359 ScholiaQ59468359MaRDI QIDQ1628318

Juntao Li, Guojie Zheng, Yuhan Zheng

Publication date: 4 December 2018

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

Full work available at URL: https://doi.org/10.1186/s13662-016-1028-7

zbMATH Keywords

wave equationobservability inequalityfinite difference

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Controllability (93B05) Nonlinear boundary value problems for linear elliptic equations (35J65) Observability (93B07)

Cites Work

• Boundary controllability of a linear semi-discrete 1-D wave equation derived from a mixed finite element method
• 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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