The multiscale perturbation method for second order elliptic equations

Alsadig Ali, Het Mankad, Felipe Pereira and Fabrício S. Sousa

Applied Mathematics and Computation, 2020, vol. 387, issue C

Abstract: In the numerical solution of elliptic equations, multiscale methods typically involve two steps: the solution of families of local solutions or multiscale basis functions (an embarrassingly parallel task) associated with subdomains of a domain decomposition of the original domain, followed by the solution of a global problem. In the solution of multiphase flow problems approximated by an operator splitting method one has to solve an elliptic equation every time step of a simulation, that would require that all multiscale basis functions be recomputed.

Keywords: Porous media; Domain decomposition; Multiscale basis functions; Robin boundary conditions; Multiphase flows (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:387:y:2020:i:c:s009630031931015x

DOI: 10.1016/j.amc.2019.125023

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