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Numerical simulation of the wave equation with discontinuous coefficients by nonconforming finite elements

✍ Scribed by M. Azaïez; F. Ben Belgacem; H. El Fekih; M. Ismaïl


Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
387 KB
Volume
15
Category
Article
ISSN
0749-159X

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✦ Synopsis


The goal of this article is to apply the mortar finite element method to the numerical simulation of (electromagnetic and/or acoustic) waves propagating in an inhomogeneous support. This approach allows us to use meshes well adapted to the local physical parameters of the media without any conformity constraints. A complete mathematical study is supplied providing the expected optimal convergence rate. Numerical performances of such a technique, as well as its advantages, are also discussed.


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A 3-D, symmetric, finite element formula
✍ Peter Göransson 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 331 KB 👁 2 views

A weak solution of the coupled, acoustic-elastic, wave propagation problem for a flexible porous material is proposed for a 3-D continuum. Symmetry in the matrix equations; with respect to both volume, i.e. 'porous frame'-'pore fluid', and surface, i.e. 'porous frame/pore fluid'-'non-porous media',