Some New Mixed Finite Elements in View of the Numerical Solution of Time Dependent Wave Propagation Problems

Eliane Bécache (1) , Patrick Joly (1) , Chrysoula Tsogka (1)

1 ONDES - Modeling, analysis and simulation of wave propagation phenomena

We present the construction and the analysis of a new family of quadrangular (2D) or cubic (3D) mixed finite elements, leading to an explicit scheme (mass lumping) for the approximation of the acoustic or elastic wave equations, including the case of an anisotropic medium. Non classical error estimates are given for this new element.

Mots clés: MIXED FINITE ELEMENTS; MASS LUMPING; ANISOTROPIC WAVESMIXED FINITE ELEMENTS; ANISOTROPIC WAVES

Domaines: Autre [cs.OH]

Eliane Bécache, Patrick Joly, Chrysoula Tsogka. Some New Mixed Finite Elements in View of the Numerical Solution of Time Dependent Wave Propagation Problems. [Research Report] RR-3445, INRIA. 1998. ⟨inria-00073245⟩