A regularized collocation boundary element method for linear poroelasticity

作者：Messner Michael; Schanz Martin^*

来源：Computational Mechanics, 2011, 47(6): 669-680.

DOI：10.1007/s00466-010-0569-y

• Linear poroelasticity
• Collocation BEM
• Regularized double layer operator
• CQM

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.

• 出版日期2011-6