FETI‐DP: a dual–primal unified FETI method—part I: A faster alternative to the two‐level FETI method

By Charbel Farhat, M. Lesoinne, P. Letallec, K. Pierson, Daniel J. Rixen. 2001

717 citations recorded by the source corpus.

Subfields: Computational Mechanics, Electrical and Electronic Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/c1ee0f412de56aea6c6be495b122064f0ac55d77

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In Computational Mechanics

In Electrical and Electronic Engineering

In Mechanics of Materials

Citations in the corpus

Bridging multiple structural scales with a generalized finite element method (2015, methodology): “[25], the variation of this method proposed by Lloberas-Valls et al.”
A Vector Dual-Primal Finite Element Tearing and Interconnecting Method for Solving 3-D Large-Scale Electromagnetic Problems (2006, methodology): “interconnecting (FETI-DP) method was proposed for solving elliptic equations in computational mechanics [7].”
The FETI family of domain decomposition methods for inequality-constrained quadratic programming: Application to contact problems with conforming and nonconforming interfaces (2009, methodology): “A similar approach, but based on the FETIDP (DP for Dual-Primal) domain decomposition method [20, 24] and therefore named FETI-DPC, was recently presented in [5].”
A FETI‐preconditioned conjugate gradient method for large‐scale stochastic finite element problems (2009, methodology): “This property shared by all FETI methods was demonstrated in practice for many complex structural mechanics problems (for example, see [8, 9, 25] and the references cited therein).”
An algebraic theory for primal and dual substructuring methods by constraints (2005, methodology): “The FETI-DP method was proposed in [ 1 ] as a further development of the FETI method [2], suitable for 4th order problems in 2D. The FETI-DP method was modied to achieve better performance in 3D in [3,4].”
The three‐field formulation for elasticity problems (2005, neutral): “We just refer for instance to [11], [13], [15], [22], [ 26 ], [27], [28], [30 ], [31], [33], [35], [37], [39], [40].”
Simultaneous FETI and block FETI: Robust domain decomposition with multiple search directions (2015, methodology): “Note that, although only the FETI approaches are discussed in this paper, the ideas presented in this contribution can be extended in a straightforward manner to the other variants of FETI (such as the FETI-DP method [13,15]) or to primal Schur complement methods such as BDD [31] and BDDC [6].”
Robust FETI-DP methods for heterogeneous three dimensional elasticity problems (2007, background): “The simplest choice is to select them as certain primal vertices of the subdomains; see [7], where this approach was first considered; this version has been denoted by Algorithm A; see [13].”
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].”
The Schwarz alternating method in solid mechanics (2017, methodology): “Among the best known concurrent coupling methods are FETI and mortar finite elements [7, 21].”