A Neumann-Dirichlet Preconditioner for FETI-DP Method for Mortar Discretization of a Fourth Order Problems in 2D

This study focuses on a construction of a parallel preconditioner for a FETI-DP (dual primal Finite Element Tearing and Interconnecting) method for a mortar Hsieh- Clough-Tocher (HCT) discretization of a model fourth order problem with discontinuous coefficients.

[1]  Talal Rahman,et al.  Additive Schwarz Methods for Elliptic Mortar Finite Element Problems , 2003, Numerische Mathematik.

[2]  Olof B. Widlund,et al.  DUAL-PRIMAL FETI METHODS FOR THREE-DIMENSIONAL ELLIPTIC PROBLEMS WITH HETEROGENEOUS COEFFICIENTS , 2022 .

[3]  Olof B. Widlund,et al.  A FETI - DP Method for a Mortar Discretization of Elliptic Problems , 2002 .

[4]  Andrea Toselli,et al.  Domain decomposition methods : algorithms and theory , 2005 .

[5]  C. Farhat,et al.  A Scalable Substructuring Method By Lagrange Multipliers For Plate Bending Problems , 1996 .

[6]  Leszek Marcinkowski An additive Schwarz method for mortar Morley finite element discretizations of 4th order elliptic problem in 2D. , 2007 .

[7]  Leszek Marcinkowski,et al.  A mortar element method for some discretizations of a plate problem , 2002, Numerische Mathematik.

[8]  Chang-Ock Lee,et al.  A Preconditioner for the FETI-DP Formulation with Mortar Methods in Two Dimensions , 2004, SIAM J. Numer. Anal..

[9]  Susanne C. Brenner,et al.  Balancing domain decomposition for nonconforming plate elements , 1999, Numerische Mathematik.

[10]  Wlodzimierz Proskurowski,et al.  A FETI-DP Preconditioner with A Special Scaling for Mortar Discretization of Elliptic Problems with Discontinuous Coefficients , 2006, SIAM J. Numer. Anal..

[11]  Leszek Marcinkowski A Mortar Finite Element Method for Fourth Order Problems in Two Dimensions with Lagrange Multipliers , 2005, SIAM J. Numer. Anal..

[12]  Wenbin Chen,et al.  A Multigrid Method for the Mortar-Type Morley Element Approximation of a Plate Bending Problem , 2001, SIAM J. Numer. Anal..

[13]  C. Farhat,et al.  A scalable dual-primal domain decomposition method , 2000, Numer. Linear Algebra Appl..

[14]  Wolfgang Dahmen,et al.  A Multigrid Algorithm for the Mortar Finite Element Method , 1999, SIAM J. Numer. Anal..

[15]  L. R. Scott,et al.  The Mathematical Theory of Finite Element Methods , 1994 .

[16]  Olof B. Widlund,et al.  Iterative Substructuring Preconditioners For Mortar Element Methods In Two Dimensions , 1997 .

[17]  Leszek Marcinkowski Domain Decomposition Methods for Mortar Finite Element Discretizations of Plate Problems , 2001, SIAM J. Numer. Anal..