NDLI: Splitting scheme for poroelasticity and thermoelasticity problems

Content Provider	Springer Nature Link
Author	Vabishchevich, P. N. Vasil’eva, M. V. Kolesov, A. E.
Copyright Year	2014
Abstract	Boundary value problems in thermoelasticity and poroelasticity (filtration consolidation) are solved numerically. The underlying system of equations consists of the Lamé stationary equations for displacements and nonstationary equations for temperature or pressure in the porous medium. The numerical algorithm is based on a finite-element approximation in space. Standard stability conditions are formulated for two-level schemes with weights. Such schemes are numerically implemented by solving a system of coupled equations for displacements and temperature (pressure). Splitting schemes with respect to physical processes are constructed, in which the transition to a new time level is associated with solving separate elliptic problems for the desired displacements and temperature (pressure). Unconditionally stable additive schemes are constructed by choosing a weight of a three-level scheme.
Starting Page	1305
Ending Page	1315
Page Count	11
File Format	PDF
ISSN	09655425
Journal	Computational Mathematics and Mathematical Physics
Volume Number	54
Issue Number	8
e-ISSN	15556662
Language	English
Publisher	Pleiades Publishing
Publisher Date	2014-08-23
Publisher Place	Moscow
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	poroelasticity problem thermoelasticity problem finite element method operator-difference schemes splitting scheme Computational Mathematics and Numerical Analysis
Content Type	Text
Resource Type	Article
Subject	Computational Mathematics

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