A strongly convergent primal-dual method for nonoverlapping domain decomposition
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Publication:726717
DOI10.1007/s00211-015-0751-4zbMath1345.49040arXiv1410.4531OpenAlexW2103013114MaRDI QIDQ726717
Patrick L. Combettes, Luis M. Briceño-Arias, Hedy Attouch
Publication date: 14 July 2016
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1410.4531
energy minimizationprimal-dual methoddomain decompositionpartial differential equationstransmission conditionsproximal algorithm
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Numerical methods involving duality (49M29) Numerical optimization and variational techniques (65K10) Decomposition methods (49M27)
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Multivariate Monotone Inclusions in Saddle Form ⋮ Combining fast inertial dynamics for convex optimization with Tikhonov regularization ⋮ Backward-forward algorithms for structured monotone inclusions in Hilbert spaces ⋮ Asynchronous block-iterative primal-dual decomposition methods for monotone inclusions ⋮ Unnamed Item ⋮ Multidomain optimal control of variational subpotential mixed evolution inclusions ⋮ A projected primal-dual method for solving constrained monotone inclusions ⋮ Inducing strong convergence into the asymptotic behaviour of proximal splitting algorithms in Hilbert spaces ⋮ Best Approximation from the Kuhn-Tucker Set of Composite Monotone Inclusions ⋮ Damped inertial dynamics with vanishing Tikhonov regularization: strong asymptotic convergence towards the minimum norm solution
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