Convergence of the Primal‐Dual Active Set Strategy for Diagonally Dominant Systems

Kazufumi Ito; Karl Kunisch

doi:10.1137/050632713

Convergence of the Primal‐Dual Active Set Strategy for Diagonally Dominant Systems

SIAM Journal on Control and Optimization ◽

10.1137/050632713 ◽

2007 ◽

Vol 46 (1) ◽

pp. 14-34 ◽

Cited By ~ 2

Author(s):

Kazufumi Ito ◽

Karl Kunisch

Keyword(s):

Active Set ◽

Active Set Strategy ◽

Primal Dual ◽

Diagonally Dominant

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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 ◽

Cited By ~ 89

Author(s):

Alexander Popp ◽

Michael W. Gee ◽

Wolfgang A. Wall

Keyword(s):

Finite Deformation ◽

Active Set ◽

Active Set Strategy ◽

Contact Formulation ◽

Primal Dual

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Unilateral non-linear dynamic contact of thin-walled structures using a primal-dual active set strategy

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1894 ◽

2007 ◽

Vol 70 (8) ◽

pp. 883-912 ◽

Cited By ~ 39

Author(s):

S. Hartmann ◽

S. Brunssen ◽

E. Ramm ◽

B. Wohlmuth

Keyword(s):

Dynamic Contact ◽

Active Set ◽

Active Set Strategy ◽

Linear Dynamic ◽

Thin Walled Structures ◽

Non Linear ◽

Primal Dual ◽

Thin Walled

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A fast and robust iterative solver for nonlinear contact problems using a primal-dual active set strategy and algebraic multigrid

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1779 ◽

2006 ◽

Vol 69 (3) ◽

pp. 524-543 ◽

Cited By ~ 26

Author(s):

S. Brunssen ◽

F. Schmid ◽

M. Schäfer ◽

B. Wohlmuth

Keyword(s):

Contact Problems ◽

Algebraic Multigrid ◽

Iterative Solver ◽

Active Set ◽

Active Set Strategy ◽

Nonlinear Contact ◽

Primal Dual

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A Primal-Dual Active Set Strategy for Optimal Boundary Control of a Nonlinear Reaction-Diffusion System

SIAM Journal on Control and Optimization ◽

10.1137/s0363012903438696 ◽

2005 ◽

Vol 44 (2) ◽

pp. 467-494 ◽

Cited By ~ 27

Author(s):

R. Griesse ◽

S. Volkwein

Keyword(s):

Boundary Control ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Active Set ◽

Active Set Strategy ◽

Optimal Boundary ◽

Nonlinear Reaction ◽

Optimal Boundary Control ◽

Primal Dual

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Primal-dual active set strategy for large scale optimization of cardiac defibrillation

Applied Mathematics and Computation ◽

10.1016/j.amc.2016.07.035 ◽

2017 ◽

Vol 292 ◽

pp. 178-193 ◽

Cited By ~ 1

Author(s):

Nagaiah Chamakuri ◽

Karl Kunisch

Keyword(s):

Large Scale ◽

Large Scale Optimization ◽

Active Set ◽

Active Set Strategy ◽

Primal Dual ◽

Scale Optimization

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Primal-Dual Active Set Strategy for a General Class of Constrained Optimal Control Problems

SIAM Journal on Optimization ◽

10.1137/s1052623499358008 ◽

2002 ◽

Vol 13 (2) ◽

pp. 321-334 ◽

Cited By ~ 60

Author(s):

K. Kunisch ◽

A. Rösch

Keyword(s):

Optimal Control ◽

General Class ◽

Optimal Control Problems ◽

Control Problems ◽

Active Set ◽

Constrained Optimal Control ◽

Active Set Strategy ◽

Primal Dual

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A Primal-Dual Active Set Strategy for Finite Deformation Dual Mortar Contact

Recent Advances in Contact Mechanics - Lecture Notes in Applied and Computational Mechanics ◽

10.1007/978-3-642-33968-4_10 ◽

2013 ◽

pp. 151-171 ◽

Cited By ~ 1

Author(s):

Alexander Popp ◽

Michael W. Gee ◽

Wolfgang A. Wall

Keyword(s):

Finite Deformation ◽

Active Set ◽

Active Set Strategy ◽

Primal Dual

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A primal–dual active set strategy for non-linear multibody contact problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2004.08.006 ◽

2005 ◽

Vol 194 (27-29) ◽

pp. 3147-3166 ◽

Cited By ~ 150

Author(s):

S. Hüeber ◽

B.I. Wohlmuth

Keyword(s):

Contact Problems ◽

Active Set ◽

Active Set Strategy ◽

Non Linear ◽

Primal Dual ◽

Multibody Contact

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A priori error estimates and an inexact primal-dual active set strategy for linear and quadratic finite elements applied to multibody contact problems

Applied Numerical Mathematics ◽

10.1016/j.apnum.2004.09.019 ◽

2005 ◽

Vol 54 (3-4) ◽

pp. 555-576 ◽

Cited By ~ 28

Author(s):

S. Hüeber ◽

M. Mair ◽

B.I. Wohlmuth

Keyword(s):

Finite Elements ◽

Error Estimates ◽

A Priori ◽

Contact Problems ◽

Active Set ◽

Active Set Strategy ◽

Primal Dual ◽

Priori Error Estimates ◽

Quadratic Finite Elements ◽

Multibody Contact

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A primal-dual active set strategy for unilateral non-linear dynamic contact problems of thin-walled structures

III European Conference on Computational Mechanics ◽

10.1007/1-4020-5370-3_321 ◽

2008 ◽

pp. 321-321

Author(s):

Stefan Hartmann ◽

Ekkehard Ramm ◽

Stephan Brunssen ◽

Barbara Wohlmuth

Keyword(s):

Contact Problems ◽

Dynamic Contact ◽

Active Set ◽

Active Set Strategy ◽

Linear Dynamic ◽

Thin Walled Structures ◽

Non Linear ◽

Primal Dual ◽

Thin Walled

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