[HTML][HTML] Splitting schemes for poroelasticity and thermoelasticity problems

AE Kolesov, PN Vabishchevich… - Computers & Mathematics …, 2014 - Elsevier
problems with additive representation of the operator at the time derivative; we also consider
modifications of splitting schemes. Similar schemes are examined in many studies [25], [26]…

Splitting scheme for poroelasticity and thermoelasticity problems

PN Vabishchevich, MV Vasil'eva… - … and mathematical physics, 2014 - Springer
… Particularly worth noting is the design of splitting schemes with respect to physical processes,
… of the operator of the problem [17, 18]. For poroelasticity problems, splitting schemes are …

Splitting scheme for poroelasticity and thermoelasticity problems

AE Kolesov, PN Vabishchevich, MV Vasilyeva… - … Methods, Theory and …, 2015 - Springer
… 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 …

[HTML][HTML] Monolithic and splitting solution schemes for fully coupled quasi-static thermo-poroelasticity with nonlinear convective transport

MK Brun, E Ahmed, I Berre, JM Nordbotten… - … & Mathematics with …, 2020 - Elsevier
… the coupled nonlinear thermo-poroelasticity model problem. The thermo-poroelastic model
problem we consider is … and thermoelasticity problems were considered in [42]. Compared to …

Splitting schemes with respect to physical processes for double-porosity poroelasticity problems

AE Kolesov, PN Vabishchevich - Russian Journal of Numerical …, 2017 - degruyter.com
… We consider unsteady poroelasticity problem in fractured … -porosity poroelasticity problems
we construct splitting schemes … with solving separate problem for the displacements and fluid …

[PDF][PDF] Splitting schemes for the thermoporoelasticity problem in fractured media

DA Ammosov, MV Vasilyeva, M Babaei… - Math. Notes …, 2019 - researchgate.net
… The dynamics of the relative errors εpi , i = 1, 2,f and εu for the poroelasticity problem are …
PN, Vasilyeva MV, and Kolesov AE, “Splitting scheme for poroelasticity and thermoelasticity

Upscaling, analysis, and iterative numerical solution schemes for thermo-poroelasticity

MK Brun - 2019 - bora.uib.no
splitting scheme knowninformally as the ‘𝐿-scheme’. These six algorithms involve different
combinations of coupling / decoupling of the three subproblems … classical thermoelasticity to a …

Generalized thermo-poroelasticity equations and wave simulation

E Wang, JM Carcione, F Cavallini, M Botelho… - Surveys in Geophysics, 2021 - Springer
… We establish a generalization of the thermoelasticity wave … We solve the stiff problems with
the Crank–Nicolson time-… -stepping scheme, which yields the same solutions as the splitting

A boundary element method for thermo-poroelasticity with applications in rock mechanics

Q Zhang - 2004 - commons.und.edu
… suitable for the poroelastic and thermoelastic problems. In this … is achieved by dividing the
boundary of the problem into a number of … and utilizing a time marching scheme. In the present …

A fixed-stress splitting method for nonlinear poroelasticity

J Kraus, K Kumar, M Lymbery, FA Radu - Engineering with Computers, 2024 - Springer
… of the fixed-stress split scheme to our nonlinear setting. Our … of the fixed-stress type splitting
scheme to the aforementioned … problem has been studied in detail for the splitting scheme