The FETI family of domain decomposition methods for inequality-constrained quadratic programming: Application to contact problems with conforming and nonconforming interfaces

[1]  Božidar V. Popović,et al.  Mathematical and Computer Modelling , 2011 .

[2]  C. Farhat,et al.  A numerically scalable dual-primal substructuring method for the solution of contact problems––part I: the frictionless case , 2004 .

[3]  O. Widlund,et al.  A FETI-DP Corner Selection Algorithm for three-dimensional problems , 2003 .

[4]  Pierre Alart,et al.  A domain decomposition strategy for nonclassical frictional multi-contact problems , 2001 .

[5]  C. Farhat,et al.  A numerically scalable domain decomposition method for the solution of frictionless contact problems , 2001 .

[6]  D. Rixen,et al.  FETI‐DP: a dual–primal unified FETI method—part I: A faster alternative to the two‐level FETI method , 2001 .

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

[8]  Daniel Rixen,et al.  THEORETICAL COMPARISON OF THE FETI AND ALGEBRAICALLY PARTITIONED FETI METHODS, AND PERFORMANCE COMPARISONS WITH A DIRECT SPARSE SOLVER , 1999 .

[9]  Pierre Ladevèze,et al.  MODULAR ANALYSIS OF ASSEMBLAGES OF THREE-DIMENSIONAL STRUCTURES WITH UNILATERAL CONTACT CONDITIONS , 1999 .

[10]  D. Rixen,et al.  A simple and efficient extension of a class of substructure based preconditioners to heterogeneous structural mechanics problems , 1999 .

[11]  Patrick Chabrand,et al.  Various numerical methods for solving unilateral contact problems with friction , 1998 .

[12]  B. Radi,et al.  Treatment of the frictional contact via a Lagrangian formulation , 1998 .

[13]  F. Armero,et al.  Formulation and analysis of conserving algorithms for frictionless dynamic contact/impact problems , 1998 .

[14]  Charbel Farhat,et al.  A unified framework for accelerating the convergence of iterative substructuring methods with Lagrange multipliers , 1998 .

[15]  C. Farhat,et al.  The two-level FETI method. Part II: Extension to shell problems, parallel implementation and performance results , 1998 .

[16]  C. Farhat,et al.  The two-level FETI method for static and dynamic plate problems Part I: An optimal iterative solver for biharmonic systems , 1998 .

[17]  Zdeněk Dostál,et al.  Solution of Coercive and Semicoercive Contact Problems by FETI Domain Decomposition , 1998 .

[18]  L. Champaney,et al.  Large scale applications on parallel computers of a mixed domain decomposition method , 1997 .

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

[20]  K. S. Arun,et al.  A quadratically convergent algorithm for convex-set constrained signal recovery , 1996, IEEE Trans. Signal Process..

[21]  P. Wriggers Finite element algorithms for contact problems , 1995 .

[22]  Dimitri P. Bertsekas,et al.  Nonlinear Programming , 1997 .

[23]  J. Mandel,et al.  Convergence of a substructuring method with Lagrange multipliers , 1994 .

[24]  C. Farhat,et al.  Optimal convergence properties of the FETI domain decomposition method , 1994 .

[25]  Charbel Farhat,et al.  Implicit parallel processing in structural mechanics , 1994 .

[26]  J. C. Simo,et al.  An augmented lagrangian treatment of contact problems involving friction , 1992 .

[27]  Jaroslav Mackerle,et al.  STATIC CONTACT PROBLEMS—A REVIEW , 1992 .

[28]  P. Alart,et al.  A mixed formulation for frictional contact problems prone to Newton like solution methods , 1991 .

[29]  J. Arora,et al.  Multiplier methods for engineering optimization , 1991 .

[30]  C. Farhat,et al.  A method of finite element tearing and interconnecting and its parallel solution algorithm , 1991 .

[31]  Charbel Farhat,et al.  A Lagrange multiplier based divide and conquer finite element algorithm , 1991 .

[32]  D. Trystram,et al.  A Conjugate projected gradient method with preconditioning for unilateral contact problems , 1988 .

[33]  J. Oden,et al.  Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods , 1987 .

[34]  A. Klarbring A mathematical programming approach to three-dimensional contact problems with friction , 1986 .

[35]  H.-O. May,et al.  The conjugate gradient method for unilateral problems , 1986 .

[36]  R. Dykstra An Algorithm for Restricted Least Squares Regression , 1983 .

[37]  Nguyen Dang Hung,et al.  Frictionless contact of elastic bodies by finite element method and mathematical programming technique , 1980 .

[38]  K. Schittkowski,et al.  NONLINEAR PROGRAMMING , 2022 .