Original article: Design and implementation of a multiscale mixed method based on a nonoverlapping domain decomposition procedure

Authors:
A. Francisco;V. Ginting;F. Pereira;J. Rigelo
Affiliations:
-;-;-;-
Venue:
Mathematics and Computers in Simulation
Year:
2014

Citing 3
Cited 0

Computational Methods for Multiphase Flows in Porous Media (Computational Science and Engineering 2)

Computational Methods for Multiphase Flows in Porous Media (Computational Science and Engineering 2)
Original article: A semi-discrete central scheme for the approximation of two-phase flows in three space dimensions

Mathematics and Computers in Simulation
A Parallel Robin-Robin Domain Decomposition Method for the Stokes-Darcy System

SIAM Journal on Numerical Analysis

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Abstract

We use a nonoverlapping iterative domain decomposition procedure based on the Robin interface condition to develop a new multiscale mixed method to compute the velocity field in heterogeneous porous media. Hybridized mixed finite elements are used for the spatial discretization of the equations. We define local, multiscale mixed basis functions to represent the discrete solutions in subdomains. Appropriate subspaces of the vector space spanned by these basis functions can be considered in the numerical approximations of heterogeneous porous media flow problems. The balance between numerical accuracy and numerical efficiency is determined by the choice of these subspaces. A detailed description of the numerical method is presented. Following that, numerical experiments are discussed to illustrate the important features of the new procedure and its comparison to the traditional fine grid simulations.