scholarly journals Conservative systems of semi-linear wave equations with periodic-Dirichlet boundary conditions

1981 ◽  
Vol 42 (1) ◽  
pp. 116-128 ◽  
Author(s):  
Jean Mawhin
Keyword(s):  
Boundary Conditions ◽  
Wave Equations ◽  
Dirichlet Boundary ◽  
Dirichlet Boundary Conditions ◽  
Linear Wave ◽  
Conservative Systems ◽  
Linear Wave Equations

AN ALGORITHM FOR DIRECT SIMULATION OF LINEAR WAVE PROPAGATION IN IRREGULAR REGIONS

2009 ◽  
Vol 17 (04) ◽  
pp. 331-356
Author(s):  
XUEMEI CHEN ◽  
JOEL C. W. ROGERS ◽  
STEVEN L. MEANS ◽  
WILLIAM G. SZYMCZAK
Keyword(s):  
Wave Propagation ◽  
Boundary Conditions ◽  
Dirichlet Boundary ◽  
Dirichlet Boundary Conditions ◽  
Linear Wave ◽  
Computational Domain ◽  
Direct Simulation ◽  
Fluid Medium ◽  
Linear Wave Propagation ◽  
Multiple Bubbles

A numerical algorithm has been developed to simulate linear wave propagation in media containing irregular inhomogeneities, especially irregular voids in fluids. The computational domain is extended to include the regions occupied by the inhomogeneities through replacing the boundaries with properly chosen sources. The solution corresponding to Dirichlet boundary conditions on the inhomogeneities is presented. This algorithm can be used to calculate linear wave propagation in a fluid medium with multiple bubbles.

scholarly journals On a singularly perturbed wave equation with dynamic boundary conditions

2004 ◽  
Vol 134 (2) ◽  
pp. 389-413 ◽  
Author(s):  
Luminiţa Popescu ◽  
Aníbal Rodriguez-Bernal
Keyword(s):  
Boundary Conditions ◽  
Wave Equations ◽  
Limit Problem ◽  
Linear Wave ◽  
Dynamic Boundary Conditions ◽  
Boundary Damping ◽  
Perturbation Problem ◽  
Dynamic Boundary ◽  
Linear Wave Equations ◽  
Parabolic Limit

In this paper we analyse a singular perturbation problem for linear wave equations with interior and boundary damping. We show how the solutions converge to the formal parabolic limit problem with dynamic boundary conditions. Conditions are given for uniform convergence in the energy space.

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