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A Flux-Vector-Based Green Element Method for Highly-Heterogeneous Media
- Publisher: European Association of Geoscientists & Engineers
- Source: Conference Proceedings, ECMOR IX - 9th European Conference on the Mathematics of Oil Recovery, Aug 2004, cp-9-00004
Abstract
B004 A FLUX-VECTOR-BASED GREEN ELEMENT METHOD FOR HIGHLY-HETEROGENEOUS MEDIA Abstract 1 The Green element method (GEM) is a modern technique for solving nonlinear problems encountered in flow in porous media. It combines the second-order accuracy of the boundary element method with the efficiency and versatility of the finite element method. The high accuracy of the GEM comes from the direct representation of the normal fluxes as unknowns. However the classical GEM procedure which overcomes the difficulty imposed by a large number of normal fluxes at each internal node by approximating them in terms of the primary variable leads to a