We construct and analyze a new family of rectangular (two-dimensional) or cubic (three-dimensional) mixed finite elements for the approximation of the acoustic wave equations. The main advantage of this element is that it permits us to obtain through mass lumping an explicit scheme even in an anisotropic medium. Nonclassical error estimates are given for this new element.
Publié le : 2000-07-04
Classification:
mixed finite elements,
mass lumping,
anisotropic waves,
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP],
[MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
@article{hal-01443182,
author = {B\'ecache, \'eliane and Joly, Patrick and Tsogka, Chrysoula},
title = {An Analysis of New Mixed Finite Elements for the Approximation of Wave Propagation Problems},
journal = {HAL},
volume = {2000},
number = {0},
year = {2000},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-01443182}
}
Bécache, éliane; Joly, Patrick; Tsogka, Chrysoula. An Analysis of New Mixed Finite Elements for the Approximation of Wave Propagation Problems. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-01443182/