［1］ Smith B F，Bjorstad P，Gropp W D． Domain Decomposition: Parallel Multilevel Algorithms for Elliptic Partial Equations［M］． New York: Cambridge Univerdsity Press， 1996．
［2］ Quarteroni A，Valli A． Domain Decomposition Methods for Partial Equations［M］． Oxfrod: Oxford University Press， 1999．
［3］ Toselli A，Widlund O B． Domain Decomposition Methods—Algorithms and Theory［M］． Berlin: Springer-Verlag， 2005．
［4］ Xu J，Zou J． Some nonoverlapping domain decomposition methods［J］． SIAM Rev， 1998， 40( 4) : 857-914．
［5］ Du Q． Optimization based nonoverlapping domain decomposition algorithms and their convergence［J］． SIAM J Numer Anal， 2001， 39( 3) : 1 056-1 077．
［6］ Du Q，Gunzburger M D． A gradient method approach to optimization based multidisciplinary simulations and nonoverlapping domain decomposition algorithms［J］． SIAM J Numer Anal， 2000， 37( 5) : 1 513-1 541．
［7］ Gunzburger M D，Lee H K． An optimization-based domain decomposition method for the Navier-Stokes equations［J］． SIAM J Numer Anal， 2000， 37( 5) : 1 455-1 480．
［8］ Gunzburger M D，Heikenschloss M，Lee H K． Solution of elliptic partial differential equations by an optimization-based domaind decompostion method［J］． Appl Math Comput， 2000， 113( 2) : 111-139．
［9］ Gunzburger M D，Peterson J，Lee H K． An optimization based domain decomposition method for partial differential equations ［J］． Comp Math Appl， 1999， 37( 10) : 77-93．
［10］ Bresch D，Koko J． Oprator-splitting and lagranger multiplier domain decomposition methods for numerical simulation of two coupled Navier-Stokes fluids［J］． Int J Appl Math Comput Sci， 2006， 16( 16) : 419-429．
［11］ Arnold D N，Falk R S，Winther R． Multigrid preconditioning in H( div) and application［J］． Math Comp， 1997， 66( 219) : 957- 984．
［12］ Arnold D N，Falk R S，Winther R． Multigrid in H( div) and H( curl) ［J］． Numer Math， 2000， 85( 2) : 197-217．
［13］ Hiptmair R． Multigrid method for H( div) in three dimensions［J］． Electron Tran Numer Anal， 1997，6 : 133-152．
［14］ Hiptmair R，Toselli A． Overlapping and multilevel Schwarz methods for vector valued elliptic problems in three dimensions， in Parallel Solution of PDEs［C］/ /IMA Volumes in Mathematics and its Applications． Berlin: Springer-Verlag， 2000．
［15］ Wohlmuth B I，Toselli A，Widlund O B． An iterative substructuring method for Raviart-Thomas vector fileds in three dimensions ［J］． SIAM J Numer Anal， 2000， 37( 5) : 1 657-1 676．
［16］ Tosseli A． Neuman-Neuman methods for vector field problems［J］． Electron Tran Numer Anal， 2000， 11: 1-24．
［17］ Raviart P A，Thomas J M． A mixed finite element method for second order elliptic problems［C］/ /Lecture Notes in Math． Berlin- Heidelberg，New York: Springer， 1977， 66: 292-315．
［18］ Brezzi F，Fortin M． Mixed and Hybrid Finite Element Methods［M］． New York: Springer-Verlag， 1991．
［19］ Ahusborde E，Aza¨lez M，Deville M O， et al． An iterative domain decomposition algorithm for the grad( div) operator［J］． Commun Comput Phys， 2009，5 ( 2 /4) : 391-397．