A strongly convergent primal–dual method for nonoverlapping domain decomposition

Hédy Attouch, Luis M. Briceño-Arias, Patrick L. Combettes

Type: Article

Publication Date: 2015-07-09

Citations: 20

DOI: https://doi.org/10.1007/s00211-015-0751-4

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Numerische Mathematik - View
arXiv (Cornell University) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View

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+	Proximal Activation of Smooth Functions in Splitting Algorithms for Convex Minimization	2018	Patrick L. Combettes Lilian E. Glaudin
+ PDF Chat	Damped inertial dynamics with vanishing Tikhonov regularization: Strong asymptotic convergence towards the minimum norm solution	2021	Hédy Attouch Aïcha Balhag Zaki Chbani Hassan Riahi
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+ PDF Chat	Inducing strong convergence into the asymptotic behaviour of proximal splitting algorithms in Hilbert spaces	2018	Radu Ioan Boţ Ernö Robert Csetnek Dennis Meier
+ PDF Chat	On the convergence of an inertial proximal algorithm with a Tikhonov regularization term	2023	Szilárd Csaba László
+	A Projected Primal–Dual Method for Solving Constrained Monotone Inclusions	2018	Luis M. Briceño-Arias Sergio López Rivera
+	A projected primal-dual splitting for solving constrained monotone inclusions	2018	Luis M. Briceño-Arias Sergio López Rivera

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+	Methods of Nonlinear Analysis: Applications to Differential Equations	2015	Pavel Drábek Jaroslav Milota
+	Elliptic Problems in Nonsmooth Domains	2011	Pierre Grisvard
+	Les Méthodes directes en théorie des équations elliptiques	1967	Jindřich Nečas Jean Dhombres Marie-Ève Maillé Philippe Robba
+	Monotonicity Methods in Hilbert Spaces and Some Applications to Nonlinear Partial Differential Equations	1971	Haı̈m Brezis
+ PDF Chat	Best Approximation from the Kuhn-Tucker Set of Composite Monotone Inclusions	2015	Abdullah Alotaibi Patrick L. Combettes Naseer Shahzad
+	Regularity for a more general class of quasilinear elliptic equations	1984	Peter Tolksdorf
+	Boundary regularity for solutions of degenerate elliptic equations	1988	Gary M. Lieberman
+	Strong Convergence of Block-Iterative Outer Approximation Methods for Convex Optimization	2000	Patrick L. Combettes
+	A Primal–Dual Splitting Method for Convex Optimization Involving Lipschitzian, Proximable and Linear Composite Terms	2012	Laurent Condat
+	Domain Decomposition Methods for Partial Differential Equations	1999	Alfio Quarteroni Alberto Valli