An algebraic theory for primal and dual substructuring methods by constraints

268 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

A BDDC ALGORITHM FOR A MIXED FORMULATION OF FLOW IN POROUS MEDIA (2005, methodology): “Recently, the BDDC and FETI-DP algorithms for elliptic problems were rederived and a much shorter proof of the main result in [14] was given in [11].”
Dual‐primal FETI methods for linear elasticity (2006, methodology): “This is so, since Mandel, Dohrmann, and Tezaur [19] have shown that for any given set of constraints, the BDDC and FETI-DP methods have almost all their eigenvalues in common; see also Fragakis and Papadrakakis [10] for earlier experimental work.”
A BDDC Algorithm with Deluxe Scaling for Three‐Dimensional H(curl) Problems (2016, result): “Given that FETI–DP and BDDC algorithms are closely related, see [18, 2, 17], our results also improve those of Toselli.”
Robust FETI-DP methods for heterogeneous three dimensional elasticity problems (2007, unknown): “[6, 15, 16, 14], since Mandel, Dohrmann, and Tezaur [16] have shown that, for any given set of constraints, the BDDC and FETI-DP methods have almost all their eigenvalues in common; see also Li and Widlund [14] for an alternative proof.”