Splitting Scheme for Poroelasticity and Thermoelasticity Problems
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.
KeywordsTime Level Implicit Scheme Finite Element Discretization Split Scheme Thermoelasticity Problem
This work is supported by CJSC OptoGan (contract N02.G25.31.0090); RFBR (project N13-01-00719A); The Ministry of Education and Science of Russian Federation (contract RFMEFI5791X0026).
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