New Nonlinear FETI-DP Methods Based on a Partial Nonlinear Elimination of Variables

Author(s):  
Axel Klawonn ◽  
Martin Lanser ◽  
Oliver Rheinbach ◽  
Matthias Uran
2020 ◽  
Vol 30 (3) ◽  
pp. 187-202
Author(s):  
Sergey V. Polin

AbstractThe previous paper was concerned with systems of equations over a certain family 𝓢 of quasigroups. In that work a method of elimination of an outermost variable from the system of equations was suggested and it was shown that further elimination of variables requires that the family 𝓢 of quasigroups satisfy the generalized distributive law (GDL). In this paper we describe families 𝓢 that satisfy GDL. The results are applied to construct classes of easily solvable systems of equations.


1987 ◽  
Vol 35 (12) ◽  
pp. 6438-6441 ◽  
Author(s):  
N. J. M. Horing ◽  
H. L. Cui ◽  
X. L. Lei

1991 ◽  
Vol 80 (8) ◽  
pp. 768-771 ◽  
Author(s):  
Denise A. Contos ◽  
Kimberly F. Dixon ◽  
Robert M. Guthrie ◽  
Nicholas Gerber ◽  
Dennis C. Mays

1996 ◽  
Vol 17 (2) ◽  
pp. 538-559 ◽  
Author(s):  
Paul J. Lanzkron ◽  
Donald J. Rose ◽  
James T. Wilkes

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