A numerical algorithm for solving inverse problems of two-dimensional wave equations

1983 ◽  
Vol 50 (2) ◽  
pp. 193-208 ◽  
Author(s):  
Y.M Chen ◽  
J.Q Liu
Keyword(s):  
Inverse Problems ◽  
Numerical Algorithm ◽  
Wave Equations ◽  
Two Dimensional ◽  
Dimensional Wave

scholarly journals Robustness of Polynomial Stability of Damped Wave Equations

2022 ◽  
Author(s):  
Dmytro Baidiuk ◽  
Lassi Paunonen
Keyword(s):  
Boundary Condition ◽  
Wave Equations ◽  
Sufficient Conditions ◽  
Two Dimensional ◽  
Polynomial Stability ◽  
One Dimensional ◽  
Acoustic Boundary Condition ◽  
The Stability ◽  
Perturbed Equation ◽  
Dimensional Wave

AbstractIn this paper we present new results on the preservation of polynomial stability of damped wave equations under addition of perturbing terms. We in particular introduce sufficient conditions for the stability of perturbed two-dimensional wave equations on rectangular domains, a one-dimensional weakly damped Webster’s equation, and a wave equation with an acoustic boundary condition. In the case of Webster’s equation, we use our results to compute explicit numerical bounds that guarantee the polynomial stability of the perturbed equation.

Fast and Oblivious Algorithms for Dissipative and Two-dimensional Wave Equations

2017 ◽  
Vol 55 (2) ◽  
pp. 621-639 ◽  
Author(s):  
L. Banjai ◽  
M. López-Fernández ◽  
A. Schädle
Keyword(s):  
Wave Equations ◽  
Two Dimensional ◽  
Oblivious Algorithms ◽  
Dimensional Wave

scholarly journals Spatial decay estimates for a class of nonlinear damped hyperbolic equations

2001 ◽  
Vol 27 (1) ◽  
pp. 17-26
Author(s):  
F. Tahamtani ◽  
K. Mosaleheh ◽  
K. Seddighi
Keyword(s):  
Continuous Dependence ◽  
Wave Equations ◽  
Hyperbolic Equations ◽  
Decay Estimates ◽  
Two Dimensional ◽  
Spatial Decay ◽  
Dimensional Wave

This paper is concerned with investigating the spatial decay estimates for a class of nonlinear damped hyperbolic equations. In addition, we compare the solutions of two-dimensional wave equations with different damped coefficients and establish an explicit inequality which displays continuous dependence on this coefficient.

Sign in / Sign up

Export Citation Format

Share Document