Uniform stabilization of 1-d wave equation with anti-damping and delayed control

Li Zhang; Gen Qi Xu; Hao Chen

doi:10.1016/j.jfranklin.2020.09.034

Uniform stabilization of 1-d wave equation with anti-damping and delayed control

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2020.09.034 ◽

2020 ◽

Vol 357 (17) ◽

pp. 12473-12494

Author(s):

Li Zhang ◽

Gen Qi Xu ◽

Hao Chen

Keyword(s):

Wave Equation ◽

Uniform Stabilization ◽

D Wave

Download Full-text

Uniform Stabilization of 1-d Wave Equation with Anti-damping and Delayed Boundary Control*

2018 IEEE International Conference on Information and Automation (ICIA) ◽

10.1109/icinfa.2018.8812360 ◽

2018 ◽

Author(s):

Li Zhang ◽

Gen Qi Xu

Keyword(s):

Wave Equation ◽

Boundary Control ◽

Uniform Stabilization ◽

D Wave

Download Full-text

A Widely Convergent Generalized Pulse- Spectrum Methods for 2-D Wave Equation Inversion

Chinese Journal of Geophysics ◽

10.1002/cjg2.353 ◽

2003 ◽

Vol 46 (2) ◽

pp. 373-380 ◽

Cited By ~ 4

Author(s):

Guofeng FENG ◽

Bo HAN ◽

Jiaqi LIU

Keyword(s):

Wave Equation ◽

Pulse Spectrum ◽

D Wave

Download Full-text

Convergence of the Finite-Difference Method for the 1—d Wave Equation with Homogeneous Dirichlet Boundary Conditions

Numerical Approximation of Exact Controls for Waves - SpringerBriefs in Mathematics ◽

10.1007/978-1-4614-5808-1_3 ◽

2013 ◽

pp. 59-78

Author(s):

Sylvain Ervedoza ◽

Enrique Zuazua

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Finite Difference Method ◽

Boundary Conditions ◽

Difference Method ◽

Dirichlet Boundary ◽

Dirichlet Boundary Conditions ◽

The Finite Difference Method ◽

Homogeneous Dirichlet Boundary Conditions ◽

D Wave

Download Full-text

Exact Behavior of Singularities of Protter’s Problem for the 3-D Wave Equation

Computing Supplementa - Inclusion Methods for Nonlinear Problems ◽

10.1007/978-3-7091-6033-6_16 ◽

2003 ◽

pp. 213-236 ◽

Cited By ~ 3

Author(s):

Nedyu Popivanov ◽

Todor Popov

Keyword(s):

Wave Equation ◽

D Wave

Download Full-text

Uniform stabilization of a variable coefficient wave equation with nonlinear damping and acoustic boundary

Applicable Analysis ◽

10.1080/00036811.2020.1849628 ◽

2020 ◽

pp. 1-18

Author(s):

Yu-Xiang Liu

Keyword(s):

Wave Equation ◽

Variable Coefficient ◽

Nonlinear Damping ◽

Uniform Stabilization

Download Full-text

A semi-discrete finite difference method to uniform stabilization of wave equation with local viscosity

IFAC Journal of Systems and Control ◽

10.1016/j.ifacsc.2020.100100 ◽

2020 ◽

Vol 13 ◽

pp. 100100

Author(s):

Bao-Zhu Guo ◽

Bin-Bin Xu

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Uniform Stabilization

Download Full-text

Uniform boundary stabilization for the finite difference semi-discretization of 2-D wave equation

Afrika Matematika ◽

10.1007/s13370-013-0141-y ◽

2013 ◽

Vol 25 (3) ◽

pp. 623-643 ◽

Cited By ~ 2

Author(s):

H. Bouslous ◽

H. El Boujaoui ◽

L. Maniar

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Boundary Stabilization ◽

D Wave

Download Full-text

A Regularization Homotopy Method for the Inverse Problem of 2-D Wave Equation and Well Log Constraint Inversion

Chinese Journal of Geophysics ◽

10.1002/cjg2.801 ◽

2005 ◽

Vol 48 (6) ◽

pp. 1509-1517 ◽

Cited By ~ 4

Author(s):

Hong-Sun FU ◽

Bo HAN

Keyword(s):

Inverse Problem ◽

Wave Equation ◽

Homotopy Method ◽

Well Log ◽

D Wave

Download Full-text

3‐D wave‐equation prestack imaging under salt

10.1190/1.1816221 ◽

2000 ◽

Cited By ~ 1

Author(s):

Biondo Biondi ◽

Louis Vaillant

Keyword(s):

Wave Equation ◽

D Wave

Download Full-text

A uniformly controllable and implicit scheme for the 1-D wave equation

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an:2005012 ◽

2005 ◽

Vol 39 (2) ◽

pp. 377-418 ◽

Cited By ~ 27

Author(s):

Arnaud Münch

Keyword(s):

Wave Equation ◽

Implicit Scheme ◽

D Wave

Download Full-text