Publica
Hier finden Sie wissenschaftliche Publikationen aus den FraunhoferInstituten. Numerical solution of plate poroelasticity problems
 Transport in porous media : TIPM 115 (2016), Nr.3, S.563580 ISSN: 01693913 ISSN: 15731634 

 Englisch 
 Zeitschriftenaufsatz 
 Fraunhofer ITWM () 
 poroelasticity; operatordifference schemes; splitting scheme; regularization 
Abstract
We consider the numerical solution of boundary value problems for poroelastic plates. The basic system of equations consists of the biharmonic equation for vertical displacement and nonstationary equation for pressure in the porous medium. The computational algorithm is based on the finite element approximation in longitudinal coordinates and the finitedifference approximation in time. We formulate standard stability conditions for twolevel schemes with weights. The computational implementation of such schemes is based on solving a system of coupled equations: fourthorder elliptic equation for displacement and secondorder elliptic equation for pressure. We construct unconditionally stable splitting schemes with respect to physical processes, when the transition to a new time level is associated with solving separate problems for the desired displacement and pressure.