Title
An Immersed Interface Method for a 1d Poroelasticity Problem with Discontinuous Coefficients
Publication Date
2014
Document Type
Article
Abstract
We introduce an immersed interface method (IIM) based on a staggered grid for the 1D Biot’s poroelasticity model when the coefficients have discontinuities along material interfaces. The IIM uses a standard finite difference method away from the interfaces and modifies the numerical schemes near or on the interfaces to treat the irregularities using the method of undetermined coefficients. A second-order accuracy in the infinity norm has been derived for both pressure and displacement regardless of the position of the interfaces. We present some numerical results to confirm the theoretical error estimates.
COinS
Comments
Bean M, Yi S. An immersed interface method for a 1D poroelasticity problem with discontinuous coefficients. Journal of Computational and Applied Mathematics 2014 15 December 2014;272:81-96.