An Analysis of New Mixed Finite Elements for the Approximation of Wave Propagation Problems
- 1 January 2000
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Numerical Analysis
- Vol. 37 (4) , 1053-1084
- https://doi.org/10.1137/s0036142998345499
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.Keywords
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