The goal of this article is to apply the mortar finite element method to the numerical simulation of (elec- tromagnetic and/or acoustic) waves propagating in an inhomogeneous support. This approach allows us to use meshes well adapted to the local physical parameters of the media without any conformity constraints. A complete mathematical study is supplied providing the expected optimal convergence rate. Numerical performances of such a technique, as well as its advantages, are also discussed.
Publié le : 1999-07-05
Classification:
nonconforming finite element,
inhomogeneous wave equation,
[INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation,
[MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
@article{hal-00666215,
author = {Aza\"\i ez, Mejdi and Ben Belgacem, Faker and El Fekih, Henda and Ismail, Mourad},
title = {Numerical Simulation of the Wave Equation with Discontinuous Coefficients by Nonconforming Finite Elements},
journal = {HAL},
volume = {1999},
number = {0},
year = {1999},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00666215}
}
Azaïez, Mejdi; Ben Belgacem, Faker; El Fekih, Henda; Ismail, Mourad. Numerical Simulation of the Wave Equation with Discontinuous Coefficients by Nonconforming Finite Elements. HAL, Tome 1999 (1999) no. 0, . http://gdmltest.u-ga.fr/item/hal-00666215/