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A domain decomposition method derived from the Primal Hybrid Formulations for 2nd order elliptic problems
(2007-09)
We consider the primal hybrid formulation for second order elliptic problems introduced by Raviart-Thomas and apply the classical iterative method of Uzawa to obtain a non overlapping domain decomposition method that ...
Artículo
A FETI method with a mesh independent condition number for the iteration matrix
(Elsevier, 2008-02-15)
We introduce a framework for FETI methods using ideas from the decomposition via Lagrange multipliers of H1 0 (Ω) derived by Raviart-Thomas [22] P.-A. Raviart, J.-M. Thomas, Primal Hybrid Finite Element Metho and complemented ...
Artículo
Stabilization of a non standard FETI-DP mortar method for the Stokes problem
(EDP Sciences, 2014-01)
In a recent paper [E. Chacón Vera and D. Franco Coronil, J. Numer. Math. 20 (2012) 161–182.] a non standard mortar method for incompressible Stokes problem was introduced where the use of the trace spaces H1/2 and H1/2 00 ...
Artículo
A posteriori error analysis for two non-overlapping domain decomposition techniques
(Elsevier, 2009-06)
This paper is devoted to the construction of fast solvers for penalty domain decomposition techniques, based upon a posteriori error analysis. We introduce a penalty non-overlapping domain decomposition method (ddm) motivated ...
Artículo
Analysis of the hydrostatic approximation in oceanography with compression term
(EDP Sciences, 2000)
The hydrostatic approximation of the incompressible 3D stationary Navier-Stokes equations is widely used in oceanography and other applied sciences. It appears through a limit process due to the anisotropy of the domain ...