A generalized multiscale finite element method for high-contrast single-phase flow problems in anisotropic media

• Jun Ren ^[1] ; Michael Presho ^[2]
  1. [1] Texas A&M University

     Texas A&M University

     Estados Unidos

     
  2. [2] University of Texas at Austin

     University of Texas at Austin

     Estados Unidos

     
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 277, Nº 1 (15 March 2015), 2015, págs. 202-214
• Idioma: inglés
• DOI: 10.1016/j.cam.2014.09.006
• Texto completo no disponible (Saber más ...)
• Resumen

  • In this paper, we describe a systematic framework called the Generalized Multiscale Finite Element Method (GMsFEM) for performing multiscale simulations, and we investigate the application of this framework to the high-contrast flow problems in anisotropic media.

    We present a multiscale model reduction technique for constructing a reduced-dimension space based on localized spectral decompositions. We discuss the multiscale coarse space both in parameter-independent and parameter-dependent cases. Furthermore, we highlight the relation between the solution convergence and the spectral behavior of the eigenvalue problems. A variety of numerical examples are presented to illustrate the performance of the proposed methodology.