A scalable dual-primal domain decomposition method

By Charbel Farhat, M. Lesoinne, K. Pierson. Numerical Linear Algebra with Applications, 2000

384 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/e298acf11ff791e86b0db2d4364fa235287fe9d2

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Citations in the corpus

The mosaic of high performance domain Decomposition Methods for Structural Mechanics: Formulation, interrelation and numerical efficiency of primal and dual methods (2003, methodology): “Another more recently proposed variant of the FETI method which should be noted is the dual-primal FETI (FETI-DP) method [FLLP+01, FLP00 ].”
Inexact FETI‐DP methods (2007, background): “Numerical evidence for this deterioration in three dimensions was first given in Reference [2]; cf.”
A Preconditioner for Substructuring Based on Constrained Energy Minimization (2003, methodology): “The method presented here shares many similarities with a dual-primal version of FETI [6] called FETI-DP, but important differences include the following: 1) The primary variables for iterative solution are displacements rather than Lagrange multipliers, 2) the coefficient matrix for the coarse prob”
Robust FETI-DP methods for heterogeneous three dimensional elasticity problems (2007, methodology): “One is to use additional, optional Lagrange multipliers, see [8] or [11], another one is to apply a transformation of basis, see [11] and [9].”
Dual‐primal FETI methods for linear elasticity (2006, methodology): “The algorithms belong to the family of dual-primal FETI (finite element tearing and interconnection) methods which was introduced for linear elasticity problems in the plane in [8] and then extended to three dimensional elasticity problems in [9].”
An algebraic theory for primal and dual substructuring methods by constraints (2005, methodology): “However, the coarse problem from [3] is indefinite if more than just corners are used for the coarse space (called the augmented coarse space in [3]), because it is obtained from a combined minimization and maximization problem.”
Highly scalable parallel domain decomposition methods with an application to biomechanics (2010, methodology): “For further details on the implementation and other algorithmic choices, see [38], [37], [24], or [13].”
The FETI family of domain decomposition methods for inequality-constrained quadratic programming: Application to contact problems with conforming and nonconforming interfaces (2009, unknown): “Methods Appl.”
FETI‐DP: a dual–primal unified FETI method—part I: A faster alternative to the two‐level FETI method (2001, methodology): “Indeed, FIrr and dr are the restrictions to the ‘r’ d.o.f. of the complete FI operator and d vector introduced in References [1–6], respectively.”