NDLI: A regularized collocation boundary element method for linear poroelasticity

Content Provider	Springer Nature Link
Author	Messner, Michael Schanz, Martin
Copyright Year	2011
Abstract	This article presents a collocation boundary element method for linear poroelasticity, based on the first boundary integral equation with only weakly singular kernels. This is possible due to a regularization of the strongly singular double layer operator, based on integration by parts, which has been applied to poroelastodynamics for the first time. For the time discretization the convolution quadrature method (CQM) is used, which only requires the Laplace transform of the fundamental solution. Furthermore, since linear poroelasticity couples a linear elastic with an acoustic material, the spatial regularization procedure applied here is adopted from linear elasticity and is performed in Laplace domain due to the before mentioned CQM. Finally, the spatial discretization is done via a collocation scheme. At the end, some numerical results are shown to validate the presented method with respect to different temporal and spatial discretizations.
Starting Page	669
Ending Page	680
Page Count	12
File Format	PDF
ISSN	01787675
Journal	Computational Mechanics
Volume Number	47
Issue Number	6
e-ISSN	14320924
Language	English
Publisher	Springer-Verlag
Publisher Date	2011-01-14
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Linear poroelasticity Collocation BEM Regularized double layer operator CQM Classical Continuum Physics Theoretical and Applied Mechanics Computational Science and Engineering
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Ocean Engineering Computational Theory and Mathematics Mechanical Engineering Computational Mechanics Computational Mathematics

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