Title:         Interface solvers and preconditioners of domain decomposition 
               type for multiphase flow in multiblock porous media

Author:        I. Yotov

Source:        Scientific Computing and Applications, in Advances in 
               Computation: Theory and Practice, vol. 7, P. Minev et. al., eds,
               Nova Science Publishers Inc., Huntington, New York (2001), 
               pp. 157-167

Status:        Published

Abstract: A multiblock mortar approach to modeling multiphase flow in
porous media decomposes the simulation domain into a series of blocks
with possibly different physical and numerical models employed in each
block. Matching conditions along the interfaces are imposed through
the use of mortar finite elements. A parallel domain decomposition
algorithm reduces the algebraic nonlinear system to an interface
problem which is solved via a nonlinear multigrid with Newton-GMRES
smoothing.