Numerical Approximation of an Elastic Wave Model

2015 ◽  
Vol 25 (2) ◽  
pp. 361-371
Author(s):  
Samir Kumar Bhowmik ◽  
Abdullah Aljouiee
2013 ◽  
Vol 2013.19 (0) ◽  
pp. 565-566
Author(s):  
Ryouta Numaguchi ◽  
Akira Chiba ◽  
Souta Matsusaka ◽  
Hirofumi Hidai ◽  
Noboru Morita

2014 ◽  
Vol 19 (3) ◽  
pp. 309-333 ◽  
Author(s):  
Juan Carlos Munoz Grajales

In this paper we establish local existence of solutions for a new model to describe the propagation of an internal wave propagating at the interface of two immiscible fluids with constant densities, contained at rest in a long channel with a horizontal rigid top and bottom. We also introduce a spectral-type numerical scheme to approximate the solutions of the corresponding Cauchy problem and perform a complete error analysis of the semidiscrete scheme.


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