Title
Splitting Scheme for Poroelasticity and Thermoelasticity Problems.
Abstract
We consider an unconditionally stable splitting scheme for solving coupled systems of equations arising in poroelasticity and thermoelasticity problems. The scheme is based on splitting the systems of equation into physical processes, which means the transition to the new time level is associated with solving separate sub-problems for displacement and pressure/temperature. The stability of the scheme is achieved by switching to three-level finite-difference scheme with weight. We present stability estimates of the scheme based on Samarskii's theory of stability for operator-difference schemes. We provide numerical experiments supporting the stability estimates of the splitting scheme.
Year
DOI
Venue
2014
10.1007/978-3-319-20239-6_25
Lecture Notes in Computer Science
DocType
Volume
ISSN
Conference
9045
0302-9743
Citations 
PageRank 
References 
0
0.34
0
Authors
4
Name
Order
Citations
PageRank
Alexander E. Kolesov120.85
Petr N. Vabishchevich23727.46
Maria V. Vasilyeva352.32
Victor F. Gornov400.34