scholarly journals A mixed finite element method for solving coupled wave equation of Kirchhoff type with nonlinear boundary damping and memory term

2021 ◽  
Author(s):  
Maryam Parvizi ◽  
Amirreza Khodadadian ◽  
M.R. Eslahchi
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Wave Equation ◽  
Nonlinear Boundary ◽  
Mixed Finite Element ◽  
Mixed Finite Element Method ◽  
Memory Term ◽  
Boundary Damping ◽  
Kirchhoff Type ◽  
Coupled Wave

Solution of a Wave Equation by a Mixed Finite Element - Fictitious Domain Method

2004 ◽  
Vol 4 (4) ◽  
pp. 431-444 ◽  
Author(s):  
Roland Glowinski ◽  
Serguei Lapin
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Wave Equation ◽  
Finite Difference ◽  
Mixed Finite Element ◽  
Mixed Finite Element Method ◽  
Time Discretization ◽  
Fictitious Domain ◽  
Fictitious Domain Method ◽  
Linear Waves

AbstractThe main goal of this article is to investigate the capability of fictitious domain methods to simulate the scattering of linear waves by an obstacle whose shape does not fit the mesh. The space-time discretization relies on a combination of a mixed finite element method µa la Raviart-Thomas with a fairly standard finite difference scheme for the time discretization. The numerical results described in the article point to a good performance of the numerical method investigated here.

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