Title | ||
---|---|---|
An Analysis of New Mixed Finite Elements for the Approximation of Wave Propagation Problems |
Abstract | ||
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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. Bécache | 1 | 62 | 10.40 |
Patrick Joly | 2 | 35 | 7.96 |
Chrysoula Tsogka | 3 | 45 | 12.30 |