%0 Book %T A posteriori error estimation in finite element analysis %A M. Ainsworth %A J. T. Oden %D 2000 %I Wiley-Interscience [John Wiley & Sons] %C New York %F Ainsworth2000 %0 Journal Article %T A posteriori error estimates for the generalized overlapping domain decomposition methods %A H. Benlarbi %A A. S. Chibi %J J. Appl. Math. %D 2012 %V 2012 %F Benlarbi2012 %0 Book %T ContrĂ´le impulsionnel et in Ă©quations quasi-variationnelles %A A. Bensoussan %A J. L. Lions %D 1984 %I Gauthier-Villars %C California %F Bensoussan1984 %0 Journal Article %T A posteriori error analysis for two-overlapping domain decomposition techniques %A C. Bernardi %A T. Chacon Rebollo %A E. Chacon Vera %A D. Franco Coronil %J Appl. Numer. Math. %D 2009 %V 59 %F Bernardi2009 %0 Journal Article %T Asymptotic behavior and a posteriori error estimates for the generalized overlapping domain decomposition method for parabolic equation %A S. Boulaaras %A K. Habita %A M. Haiour %J Bound. Value Probl. %D 2015 %V 2015 %F Boulaaras2015 %0 Journal Article %T The maximum norm analysis of an overlapping Shwarz method for parabolic quasi-variational inequalities related to impulse control problem with the mixed boundary conditions %A S. Boulaaras %A M. Haiour %J Appl. Math. Inf. Sci. %D 2013 %V 7 %F Boulaaras2013 %0 Journal Article %T The finite element approximation of evolutionary Hamilton-Jacobi-Bellman equations with non-linear source terms %A S. Boulaaras %A M. Haiour %J Indag. Math. %D 2013 %V 24 %F Boulaaras2013 %0 Journal Article %T A new proof for the existence and uniqueness of the discrete evolutionary HJB equation %A S. Boulaaras %A M. Haiour %J Appl. Math. Comput. %D 2015 %V 262 %F Boulaaras2015 %0 Journal Article %T A general case for the maximum norm analysis of an overlapping Schwarz methods of evolutionary HJB equation with nonlinear source terms with the mixed boundary conditions %A S. Boulaaras %A M. Haiour %J Appl. Math. Inf. Sci. %D 2015 %V 9 %F Boulaaras2015 %0 Journal Article %T The finite element approximation oft Hamilton-Jacobi-Bellman equations %A M. Boulbrachene %A M. Haiour %J Comput. Mah. Appl. %D 2001 %V 41 %F Boulbrachene2001 %0 Journal Article %T Geometry related convergence results for domain decomposition algorithms %A T. F. Chan %A T. Y. Hou %A P. L. Lions %J SIAM J. Numer. Anal. %D 1991 %V 28 %F Chan1991 %0 Journal Article %T Maximum principle and uniform convergence for the finite element method %A P. G. Ciarlet %A P. A. Raviart %J Comput. Methods Appl. Mech. Engrg. %D 1973 %V 2 %F Ciarlet1973 %0 Journal Article %T Approximation numerique d une inequation quasi-variationnelle liee a des problemes de gestion de stock %A P. Cortey-Dumont %J RAIRO Anal. Numer. %D 1980 %V 14 %F Cortey-Dumont 1980 %0 Journal Article %T On finite element approximation in the \(L^\infty\)-norm of variational inequalities %A P. Cortey-Dumont %J Numer. Math. %D 1985 %V 47 %F Cortey-Dumont1985 %0 Journal Article %T An accelerated domain decomposition procedure based on Robin transmission conditions %A J. Douglas %A C. S. Huang %J BIT %D 1997 %V 37 %F Douglas1997 %0 Journal Article %T Absorbing boundary conditions for domain decomposition %A B. Engquist %A H. K. Zhao %J Appl. Numer. Math. %D 1998 %V 27 %F Engquist1998 %0 Journal Article %T Vista in domain decomposition methods %A C. Farhat %A P. Le Tallec %J Comput. Methods Appl. Mech. Eng. %D 2000 %V 184 %F Farhat2000 %0 Journal Article %T Overlapping domain decomposition methods for elliptic quasi-variational inequalities related to impulse control problem with mixed boundary conditions %A M. Haiour %A S. Boulaaras %J Proc. Indian Acad. Sci. Math. Sci. %D 2011 %V 121 %F Haiour2011 %0 Journal Article %T On the Schwarz alternating method. I. First international symposium on domain decomposition methods for partial differential equations %A P. L. Lions %J SIAM, Philadelphia %D 1988 %V %F Lions 1988 %0 Journal Article %T On the Schwarz alternating method. II.Stochastic interpretation and order properties. domain decomposition methods %A P. L. Lions %J SIAM, Philadelphia %D 1989 %V %F Lions 1989 %0 Journal Article %T Improved ad hoc interface conditions for Schwarz solution procedure tuned to highly heterogeneous media %A Y. Maday %A F. Magoules %J Appl. Math. Model. %D 2006 %V 30 %F Maday2006 %0 Journal Article %T A survey of various absorbing interface conditions for the Schwarz algorithm tuned to highly heterogeneous media %A Y. Maday %A F. Magoules %J in domain decomposition methods, Gakuto international series, Math. Sci. Appl. %D 2006 %V 25 %F Maday2006 %0 Journal Article %T Recent developments on optimized Schwarz methods %A F. Nataf %J Lect. Notes Comput. Sci. Eng., Springer, Berlin %D 2007 %V %F Nataf 2007 %0 Journal Article %T A posteriori estimates for a non-overlapping domain decomposition method %A F. C. Otto %A G. Lube %J Computing %D 1999 %V 62 %F Otto1999 %0 Book %T Domain decomposition methods for partial differential equations %A A. Quarteroni %A A. Valli %D 1999 %I The Clarendon Press, Oxford University Press %C New York %F Quarteroni1999 %0 Journal Article %T Domain decomposition methods: recent advances and new challenges in engineering %A D. Rixen %A F. Magoules %J Comput. Methods Appl. Mech. Engrg. %D 2007 %V 196 %F Rixen2007 %0 Book %T Domain decomposition methods algorithms and theory %A A. Toselli %A O. Widlund %D 2005 %I Springer %C Berlin %F Toselli2005 %0 Book %T A review of a posteriori error estimation and adaptive mesh-refinement techniques %A A. Verurth %D 1996 %I Wiley-Teubner %C Stuttgart %F Verurth1996