An algebraic multiscale solver with local Robin boundary value problems for flows in high-contrast media

• Published in: Journal of engineering mathematics Vol. 123; no. 1; pp. 109 - 128
• Main Authors: Akbari, Hani, Pereira, Felipe
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.08.2020; Springer Nature B.V
• Subjects: Algebra; Applications of Mathematics; Basis functions; Boundary conditions; Boundary value problems; Coefficients; Computational Mathematics and Numerical Analysis; Contrast media; Discontinuity; Domain decomposition methods; Mathematical analysis; Mathematical and Computational Engineering; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Multiscale analysis; Smoothing; Theoretical and Applied Mechanics; Robin condition; Highly heterogeneous media; Preconditioning; Algebraic multiscale methods; Defect correction scheme

The algebraic and semi-algebraic formulations of a new multiscale elliptic solver based on a non-overlapping domain decomposition method are presented. By algebraic we mean that all information needed to implement the proposed procedure can be extracted from the underlying fine grid finite volume li...