Title
An Analysis of New Mixed Finite Elements for the Approximation of Wave Propagation Problems
Abstract
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.
Year
DOI
Venue
2000
10.1137/S0036142998345499
SIAM Journal on Numerical Analysis
Keywords
Field
DocType
new mixed finite elements,new family,mixed finite element,nonclassical error estimate,main advantage,new element,mass lumping,anisotropic waves,wave propagation problems,explicit scheme,mixed finite elements,anisotropic medium,acoustic wave equation,wave propagation,acoustic waves,three dimensional
Boundary value problem,Dirichlet problem,Wave propagation,Mathematical analysis,Finite element method,Initial value problem,Wave equation,Acoustic wave,Mathematics,Mixed finite element method
Journal
Volume
Issue
ISSN
37
4
0036-1429
Citations 
PageRank 
References 
16
3.38
0
Authors
3
Name
Order
Citations
PageRank
E. Bécache16210.40
Patrick Joly2357.96
Chrysoula Tsogka34512.30