Enhanced multiscale restriction-smoothed basis (MsRSB) preconditioning with applications to porous media flow and geomechanics

A novel method to enable application of the Multiscale Restricted Smoothed Basis (MsRSB) method to non M-matrices is presented. The original MsRSB method is enhanced with a filtering strategy enforcing M-matrix properties to enable the robust application of MsRSB as a preconditioner. Through applications to porous media flow and linear elastic geomechanics, the method is proven to be effective for scalar and vector problems with multipoint finite volume (FV) and finite element (FE) discretization schemes, respectively. Realistic complex (un)structured twoand three-dimensional test cases are considered to illustrate the method's performance. (c) 2020 Elsevier Inc. All rights reserved.

Automated summary

A novel method is presented for applying the MsRSB method to non M-matrices, enhancing the original method with a filtering strategy to enforce M-matrix properties. The method is proven to be effective for scalar and vector problems with multipoint finite volume and finite element discretization schemes, through applications to porous media flow and linear elastic geomechanics. Realistic complex test cases are considered to illustrate the method's performance in two and three-dimensional scenarios.