 Efficient and long time stable IMEX schemes for the unsteady dual-porosity-Stokes systemYi Li, Ning Li, Dandan Xue and Yi Qin Mathematics and Computers in Simulation (MATCOM), 2025, vol. 236, issue C, 111-134 Abstract: In this paper, we introduce an efficient and long time stable implicit–explicit(IMEX) scheme for the dual-porosity-Stokes equations. On the basis of backward Euler scheme and the solution at previous time level, we apply implicit discretization for sub-problems terms and explicit discretization for interface terms. By introducing a new scalar auxiliary variable (SAV), the scheme avoids time step constraints in long time stability analysis. We derive the error estimates of the full discretization with finite element method for the spatial discretization without any time step conditions. Moreover, we extend the approach to higher order IMEX schemes and develop variable time stepsize adaptive algorithm using time filter. Numerical tests are provided to validate the accuracy of several numerical schemes and assess industrial applicability of the coupled model in the multistage fractured horizontal wellbore problem. Keywords: Implicit-explicit scheme; Scalar auxiliary variable; Dual-porosity-Stokes; Long time stability; Error estimates; Multistage fractured horizontal wellbore (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:236:y:2025:i:c:p:111-134 DOI: 10.1016/j.matcom.2025.03.026 Access Statistics for this article Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier |
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