Uniform boundary observability with Legendre-Galerkin formulations of the 1-D wave equation

Ludovick Gagnon;  ; José M. Urquiza;

doi:10.3934/eect.2020054

Uniform boundary observability with Legendre-Galerkin formulations of the 1-D wave equation

Evolution Equations and Control Theory ◽

10.3934/eect.2020054 ◽

2021 ◽

Vol 10 (1) ◽

pp. 129-153

Author(s):

Ludovick Gagnon ◽

◽

José M. Urquiza ◽

Keyword(s):

Wave Equation ◽

Boundary Observability ◽

D Wave

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Boundary observability for the space-discretizations of the 1 — d wave equation

Comptes Rendus de l Académie des Sciences - Series I - Mathematics ◽

10.1016/s0764-4442(98)80036-0 ◽

1998 ◽

Vol 326 (6) ◽

pp. 713-718 ◽

Cited By ~ 17

Author(s):

Juan-Antonio Infante ◽

Enrique Zuazua

Keyword(s):

Wave Equation ◽

Boundary Observability ◽

D Wave

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Boundary observability for the space semi-discretizations of the 1 – d wave equation

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an:1999123 ◽

1999 ◽

Vol 33 (2) ◽

pp. 407-438 ◽

Cited By ~ 83

Author(s):

Juan Antonio Infante ◽

Enrique Zuazua

Keyword(s):

Wave Equation ◽

Boundary Observability ◽

D Wave

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Boundary observability for the finite-difference space semi-discretizations of the 2-d wave equation in the square

Journal de Mathématiques Pures et Appliquées ◽

10.1016/s0021-7824(98)00008-7 ◽

1999 ◽

Vol 78 (5) ◽

pp. 523-563 ◽

Cited By ~ 59

Author(s):

E. Zuazua

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Boundary Observability ◽

D Wave

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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

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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

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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

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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

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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

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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

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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

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