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Journal Articles SIAM Journal on Numerical Analysis Year : 2000

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.
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hal-01443182 , version 1 (22-01-2017)

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Éliane Bécache, Patrick Joly, Chrysoula Tsogka. An Analysis of New Mixed Finite Elements for the Approximation of Wave Propagation Problems. SIAM Journal on Numerical Analysis, 2000, 37 (4), pp.1053 - 1084. ⟨10.1137/S0036142998345499⟩. ⟨hal-01443182⟩
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