The Primal-Dual Active Set Strategy as a Semismooth Newton Method

SIAM Journal on Optimization ◽

10.1137/s1052623401383558 ◽

2002 ◽

Vol 13 (3) ◽

pp. 865-888 ◽

Author(s):

M. Hintermüller ◽

K. Ito ◽

K. Kunisch

Keyword(s):

Newton Method ◽

Semismooth Newton Method ◽

Active Set Strategy ◽

Semismooth Newton ◽

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A SemiSmooth Newton Method for Semidefinite Programs and its Applications in Electronic Structure Calculations

SIAM Journal on Scientific Computing ◽

10.1137/18m1188069 ◽

2018 ◽

Vol 40 (6) ◽

pp. A4131-A4157

Author(s):

Yongfeng Li ◽

Zaiwen Wen ◽

Chao Yang ◽

Ya-xiang Yuan

Keyword(s):

Electronic Structure ◽

Newton Method ◽

Electronic Structure Calculations ◽

Semismooth Newton Method ◽

Semidefinite Programs ◽

Semismooth Newton ◽

Structure Calculations

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Semismooth Newton method for frictional contact between pseudo-rigid bodies

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2008.01.006 ◽

2008 ◽

Vol 197 (33-40) ◽

pp. 2763-2777 ◽

Author(s):

Tomasz Koziara ◽

Nenad Bićanić

Keyword(s):

Newton Method ◽

Frictional Contact ◽

Rigid Bodies ◽

Semismooth Newton Method ◽

Semismooth Newton

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A Semismooth Newton Method for Regularized L q-quasinorm Sparse Optimal Control Problems

Lecture Notes in Computational Science and Engineering - Numerical Mathematics and Advanced Applications ENUMATH 2019 ◽

10.1007/978-3-030-55874-1_71 ◽

2020 ◽

pp. 723-731

Author(s):

Pedro Merino

Keyword(s):

Optimal Control ◽

Newton Method ◽

Optimal Control Problems ◽

Semismooth Newton Method ◽

Control Problems ◽

Semismooth Newton ◽

Sparse Optimal Control

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An adaptive semismooth Newton method for approximately solving control-constrained elliptic optimal control problems

Transactions of the Institute of Measurement and Control ◽

10.1177/0142331218823862 ◽

2019 ◽

Vol 41 (11) ◽

pp. 3010-3020 ◽

Author(s):

Omid Solaymani Fard ◽

Akbar Hashemi Borzabadi ◽

Farhad Sarani

Keyword(s):

Optimal Control ◽

Newton Method ◽

Optimal Control Problems ◽

Semismooth Newton Method ◽

Control Problems ◽

Semismooth Newton ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

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A Semismooth Newton Method for Nonlinear Parameter Identification Problems with Impulsive Noise

SIAM Journal on Imaging Sciences ◽

10.1137/110826187 ◽

2012 ◽

Vol 5 (2) ◽

pp. 505-536 ◽

Author(s):

Christian Clason ◽

Bangti Jin

Keyword(s):

Parameter Identification ◽

Newton Method ◽

Impulsive Noise ◽

Nonlinear Parameter ◽

Semismooth Newton Method ◽

Identification Problems ◽

Semismooth Newton ◽

Parameter Identification Problems ◽

Nonlinear Parameter Identification

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The semismooth Newton method for multicomponent reactive transport with minerals

Advances in Water Resources ◽

10.1016/j.advwatres.2010.10.004 ◽

2011 ◽

Vol 34 (1) ◽

pp. 137-151 ◽

Author(s):

Serge Kräutle

Keyword(s):

Newton Method ◽

Reactive Transport ◽

Semismooth Newton Method ◽

Semismooth Newton ◽

Multicomponent Reactive Transport

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A duality-based path-following semismooth Newton method for elasto-plastic contact problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2015.06.010 ◽

2016 ◽

Vol 292 ◽

pp. 150-173 ◽

Author(s):

M. Hintermüller ◽

S. Rösel

Keyword(s):

Newton Method ◽

Path Following ◽

Contact Problems ◽

Semismooth Newton Method ◽

Semismooth Newton

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A decoupled semismooth Newton method for optimal power flow

2006 IEEE Power Engineering Society General Meeting ◽

10.1109/pes.2006.1709065 ◽

2006 ◽

Author(s):

Xiaojiao Tong ◽

Yongping Zhang ◽

F.F. Wu

Keyword(s):

Newton Method ◽

Optimal Power Flow ◽

Semismooth Newton Method ◽

Optimal Power ◽

Semismooth Newton

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Application of a modified semismooth Newton method to some elasto-plastic problems

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2012.03.012 ◽

2012 ◽

Vol 82 (10) ◽

pp. 2004-2021 ◽

Author(s):

Stanislav Sysala

Keyword(s):

Newton Method ◽

Semismooth Newton Method ◽

Semismooth Newton

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A finite deformation mortar contact formulation using a primal-dual active set strategy

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.2614 ◽

2009 ◽

Vol 79 (11) ◽

pp. 1354-1391 ◽

Author(s):

Alexander Popp ◽

Michael W. Gee ◽

Wolfgang A. Wall

Keyword(s):

Finite Deformation ◽

Active Set Strategy ◽

Contact Formulation ◽

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