A new family of mixed finite elements for the linear elastodynamic problem

Éliane Bécache, Patrick Joly and Chrysoula Tsogka

2002

Publication type:

Paper in peer-reviewed journals

Journal:

SIAM Journal on Numerical Analysis, vol. 39(6), pp. 2109-2132

DOI:

10.1137/S0036142999359189

HAL:

hal-00990102

Abstract:

We construct and analyze a new family of quadrangular (in two dimensions) or cubic (in three dimensions) mixed finite elements for the approximation of elastic wave equations. Our elements lead to explicit schemes (via mass lumping), after time discretization, including in the case of anisotropic media. Error estimates are given for these new elements. Copyright © 2002 Society for Industrial and Applied Mathematics

BibTeX:

@article{Bec-Jol-Tso-2002,
    author={Éliane Bécache and Patrick Joly and Chrysoula Tsogka },
    title={A new family of mixed finite elements for the linear 
           elastodynamic problem },
    doi={10.1137/S0036142999359189 },
    journal={SIAM Journal on Numerical Analysis },
    year={2002 },
    volume={39(6) },
    pages={2109--2132},
}