[A well posed PML model for anisotropic elastodynamic]
We propose in this paper a well-posed PML model for the elastodynamic system. The technique relies on an algebraic approach leading to a strongly well posed system, ensuring continuity of the variables across a layer, avoiding interfering reflexions. Moreover, this new model is written in the primitive variables, unlike the system obtained by the Bérenger approach [J.P. Bérenger, J. Comput. Phys. (1994) 185–200] and so is easier to integrate into an existing code.
On propose dans cette Note un modèle PML bien posé pour l'élastodynamique. La technique utilisée repose sur une approche algébrique conduisant à un problème fortement bien posé et assurant la continuité des inconnues à la traversée de la couche évitant ainsi les réflexions parasites. De plus ce nouveau modèle porte sur les inconnues primitives contrairement à celui obtenu par l'approche de Bérenger [J.P. Bérenger, J. Comput. Phys. (1994) 185–200]. Il est donc plus facile à intégrer dans un code de calcul existant.
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Adib Rahmouni 1
@article{CRMATH_2004__338_12_963_0, author = {Adib Rahmouni}, title = {Un mod\`ele {PML} bien pos\'e pour l'\'elastodynamique anisotrope}, journal = {Comptes Rendus. Math\'ematique}, pages = {963--968}, publisher = {Elsevier}, volume = {338}, number = {12}, year = {2004}, doi = {10.1016/j.crma.2004.04.001}, language = {fr}, }
Adib Rahmouni. Un modèle PML bien posé pour l'élastodynamique anisotrope. Comptes Rendus. Mathématique, Volume 338 (2004) no. 12, pp. 963-968. doi : 10.1016/j.crma.2004.04.001. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2004.04.001/
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