An Enhanced Velocity multIpoint Flux Mixed Finite Element Method for Darcy Flow on Non-matching Hexahedral Grids

Abstract This paper proposes a new enhanced velocity method to directly construct a flux-continuous velocity approximation with multipoint flux mixed finite element method on subdomains. This gives an efficient way to perform simulations on multiblock domains with non-matching hexa- hedral grids. We develop a reasonable assumption on geometry, discuss implementation issues, and give several numerical results with slightly compressible single phase flow.

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