ESAIM: Mathematical Modelling and Numerical Analysis (ESAIM: M2AN)

Path-following and augmented Lagrangian methods for contact problems in linear elasticity

Georg Stadler
Journal of Computational and Applied Mathematics 203 (2) 533 (2007)
DOI: 10.1016/j.cam.2006.04.017
See this article

Optimal Shape Design Subject to Elliptic Variational Inequalities

M. Hinterm�ller and A. Laurain
SIAM Journal on Control and Optimization 49 (3) 1015 (2011)
DOI: 10.1137/080745134
See this article

A survey on dual decomposition methods

Jonas Koko
SeMA Journal 62 (1) 27 (2013)
DOI: 10.1007/s40324-013-0007-0
See this article

A hemivariational inequality in crack problems

V.A. Kovtunenko
Optimization 60 (8-9) 1071 (2011)
DOI: 10.1080/02331934.2010.534477
See this article

A Posteriori Error Estimates for Parabolic Variational Inequalities

Yves Achdou, Frédéric Hecht and David Pommier
Journal of Scientific Computing 37 (3) 336 (2008)
DOI: 10.1007/s10915-008-9215-7
See this article

Uzawa block relaxation method for the unilateral contact problem

Jonas Koko
Journal of Computational and Applied Mathematics 235 (8) 2343 (2011)
DOI: 10.1016/j.cam.2010.10.032
See this article

Semi-smooth Newton methods for state-constrained optimal control problems

Kazufumi Ito and Karl Kunisch
Systems & Control Letters 50 (3) 221 (2003)
DOI: 10.1016/S0167-6911(03)00156-7
See this article

Asymptotic Expansion for the Solutions of Control Constrained Semilinear Elliptic Problems with Interior Penalties

J. Frederic Bonnans and Francisco J. Silva
SIAM Journal on Control and Optimization 49 (6) 2494 (2011)
DOI: 10.1137/090778602
See this article

A projection iterative algorithm boundary element method for the Signorini problem

Shougui Zhang and Jialin Zhu
Engineering Analysis with Boundary Elements 37 (1) 176 (2013)
DOI: 10.1016/j.enganabound.2012.08.010
See this article

Path-following Methods for a Class of Constrained Minimization Problems in Function Space

Michael Hintermu?ller and Karl Kunisch
SIAM Journal on Optimization 17 (1) 159 (2006)
DOI: 10.1137/040611598
See this article

The Primal-Dual Active Set Method for Nonlinear Optimal Control Problems with Bilateral Constraints

Kazufumi Ito and Karl Kunisch
SIAM Journal on Control and Optimization 43 (1) 357 (2004)
DOI: 10.1137/S0363012902411015
See this article

A direct algorithm in some free boundary problems

Cornel M. Murea and Dan Tiba
Journal of Numerical Mathematics 24 (4) (2016)
DOI: 10.1515/jnma-2015-0048
See this article

An augmented Lagrange method for elliptic state constrained optimal control problems

Veronika Karl and Daniel Wachsmuth
Computational Optimization and Applications 69 (3) 857 (2018)
DOI: 10.1007/s10589-017-9965-y
See this article

Feasible and Noninterior Path-Following in Constrained Minimization with Low Multiplier Regularity

M. Hintermu?ller and K. Kunisch
SIAM Journal on Control and Optimization 45 (4) 1198 (2006)
DOI: 10.1137/050637480
See this article

A Penalty Method for the Numerical Solution of Hamilton�Jacobi�Bellman (HJB) Equations in Finance

J. H. Witte and C. Reisinger
SIAM Journal on Numerical Analysis 49 (1) 213 (2011)
DOI: 10.1137/100797606
See this article

Some Convergence Results for Howard's Algorithm

Olivier Bokanowski, Stefania Maroso and Hasnaa Zidani
SIAM Journal on Numerical Analysis 47 (4) 3001 (2009)
DOI: 10.1137/08073041X
See this article

System Modeling and Optimization

Cornel Marius Murea and Dan Tiba
IFIP Advances in Information and Communication Technology, System Modeling and Optimization 443 189 (2014)
DOI: 10.1007/978-3-662-45504-3_18
See this article

Norbert Hilber, Oleg Reichmann, Christoph Schwab and Christoph Winter
247 (2013)
DOI: 10.1007/978-3-642-35401-4_16
See this article

Special Volume: Mathematical Modeling and Numerical Methods in Finance

Olivier Pironneau and Yves Achdou
Handbook of Numerical Analysis, Special Volume: Mathematical Modeling and Numerical Methods in Finance 15 369 (2009)
DOI: 10.1016/S1570-8659(08)00011-2
See this article

Calculation of Heat-Bearing Agent’s Steady Flow in Fuel Bundle

E V Amosova and G G Guba
IOP Conference Series: Materials Science and Engineering 262 012090 (2017)
DOI: 10.1088/1757-899X/262/1/012090
See this article

Obstacle Problems with Cohesion: A Hemivariational Inequality Approach and Its Efficient Numerical Solution

M. Hintermüller, V. A. Kovtunenko and K. Kunisch
SIAM Journal on Optimization 21 (2) 491 (2011)
DOI: 10.1137/10078299
See this article

Primal-dual active set methods for Allen-Cahn variational inequalities with nonlocal constraints

Luise Blank, Harald Garcke, Lavinia Sarbu and Vanessa Styles
Numerical Methods for Partial Differential Equations 29 (3) 999 (2013)
DOI: 10.1002/num.21742
See this article

A monotone Newton multisplitting method for the nonlinear complementarity problem with a nonlinear source term

Shuilian Xie, Hongru Xu and Yuping Zeng
International Journal of Computer Mathematics 92 (6) 1292 (2015)
DOI: 10.1080/00207160.2014.935733
See this article

Primal-dual sensitivity analysis of active sets for mixed boundary-value contact problems

Victor A. Kovtunenko
Journal of Engineering Mathematics 55 (1-4) 151 (2006)
DOI: 10.1007/s10665-005-9024-z
See this article

Numerical simulation of two-dimensional Bingham fluid flow by semismooth Newton methods

Juan Carlos De los Reyes and Sergio González Andrade
Journal of Computational and Applied Mathematics 235 (1) 11 (2010)
DOI: 10.1016/j.cam.2010.02.026
See this article

Solving the Cahn-Hilliard variational inequality with a semi-smooth Newton method

Luise Blank, Martin Butz and Harald Garcke
ESAIM: Control, Optimisation and Calculus of Variations 17 (4) 931 (2011)
DOI: 10.1051/cocv/2010032
See this article

Generalized Newton methods for the 2D-Signorini contact problem with friction in function space

Karl Kunisch and Georg Stadler
ESAIM: Mathematical Modelling and Numerical Analysis 39 (4) 827 (2005)
DOI: 10.1051/m2an:2005036
See this article

An efficient adaptive finite element method algorithm with mass conservation for analysis of liquid face seals

Xiang-kai Meng, Shao-xian Bai and Xu-dong Peng
Journal of Zhejiang University SCIENCE A 15 (3) 172 (2014)
DOI: 10.1631/jzus.A1300328
See this article

Generalized Newton methods for crack problems with nonpenetration condition

M. Hintermüller, V. A. Kovtunenko and K. Kunisch
Numerical Methods for Partial Differential Equations 21 (3) 586 (2005)
DOI: 10.1002/num.20053
See this article

A Primal-Dual Active Set Method for Bilaterally Control Constrained Optimal Control of the Navier–Stokes Equations

J. C. De los Reyes
Numerical Functional Analysis and Optimization 25 (7-8) 657 (2005)
DOI: 10.1081/NFA-200045798
See this article

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

S. Hüeber and B.I. Wohlmuth
Computer Methods in Applied Mechanics and Engineering 194 (27-29) 3147 (2005)
DOI: 10.1016/j.cma.2004.08.006
See this article

A projection iterative algorithm for the Signorini problem using the boundary element method

Shougui Zhang
Engineering Analysis with Boundary Elements 50 313 (2015)
DOI: 10.1016/j.enganabound.2014.08.012
See this article

Variationally consistent discretization schemes and numerical algorithms for contact problems

Barbara Wohlmuth
Acta Numerica 20 569 (2011)
DOI: 10.1017/S0962492911000079
See this article

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

S. Hüeber, M. Mair and B.I. Wohlmuth
Applied Numerical Mathematics 54 (3-4) 555 (2005)
DOI: 10.1016/j.apnum.2004.09.019
See this article

Sufficient optimality conditions and semi-smooth newton methods for optimal control of stationary variational inequalities

Karl Kunisch and Daniel Wachsmuth
ESAIM: Control, Optimisation and Calculus of Variations 18 (2) 520 (2012)
DOI: 10.1051/cocv/2011105
See this article

A Primal Dual Active Set Algorithm With Continuation for Compressed Sensing

Qibin Fan, Yuling Jiao and Xiliang Lu
IEEE Transactions on Signal Processing 62 (23) 6276 (2014)
DOI: 10.1109/TSP.2014.2362880
See this article

A unified framework for high-order numerical discretizations of variational inequalities

Jad Dabaghi and Guillaume Delay
Computers & Mathematics with Applications 92 62 (2021)
DOI: 10.1016/j.camwa.2021.03.011
See this article

Path-following and semismooth Newton methods for the variational inequality arising from two membranes problem

Shougui Zhang, Yueyue Yan and Ruisheng Ran
Journal of Inequalities and Applications 2019 (1) (2019)
DOI: 10.1186/s13660-019-1955-4
See this article

A Semi-smooth Newton Method for Inverse Problem with Uniform Noise

You-Wei Wen, Wai-Ki Ching and Michael Ng
Journal of Scientific Computing 75 (2) 713 (2018)
DOI: 10.1007/s10915-017-0557-x
See this article

Reduced Numerical Model for Methane Hydrate Formation under Conditions of Variable Salinity. Time-Stepping Variants and Sensitivity

Malgorzata Peszynska, Francis Medina, Wei-Li Hong and Marta Torres
Computation 4 (1) 1 (2015)
DOI: 10.3390/computation4010001
See this article

Path following methods for steady laminar Bingham flow in cylindrical pipes

Juan Carlos De Los Reyes and Sergio González
ESAIM: Mathematical Modelling and Numerical Analysis 43 (1) 81 (2009)
DOI: 10.1051/m2an/2008039
See this article

Semi-smooth Newton methods for the Signorini problem

Kazufumi Ito and Karl Kunisch
Applications of Mathematics 53 (5) 455 (2008)
DOI: 10.1007/s10492-008-0036-7
See this article

Numerical Procedure for Calibration of Volatility with American Options

Yves Achdou and Olivier Pironneau
Applied Mathematical Finance 12 (3) 201 (2005)
DOI: 10.1080/1350486042000297252
See this article

A new approach for phase transitions in miscible multi-phase flow in porous media

A. Lauser, C. Hager, R. Helmig and B. Wohlmuth
Advances in Water Resources 34 (8) 957 (2011)
DOI: 10.1016/j.advwatres.2011.04.021
See this article

Constrained optimization for interface cracks in composite materials subject to non-penetration conditions

M. Hintermüller, V. A. Kovtunenko and K. Kunisch
Journal of Engineering Mathematics 59 (3) 301 (2007)
DOI: 10.1007/s10665-006-9113-7
See this article

Adaptive Inexact Semismooth Newton Methods for the Contact Problem Between Two Membranes

Jad Dabaghi, Vincent Martin and Martin Vohralík
Journal of Scientific Computing 84 (2) (2020)
DOI: 10.1007/s10915-020-01264-3
See this article

A posteriori estimates distinguishing the error components and adaptive stopping criteria for numerical approximations of parabolic variational inequalities

Jad Dabaghi, Vincent Martin and Martin Vohralík
Computer Methods in Applied Mechanics and Engineering 367 113105 (2020)
DOI: 10.1016/j.cma.2020.113105
See this article

Some numerical tests for an alternative approach to optimal feedback control

Roberto Font and Pablo Pedregal
Journal of the Franklin Institute 355 (15) 7011 (2018)
DOI: 10.1016/j.jfranklin.2018.08.004
See this article

When Bingham meets Bratu: mathematical and computational investigations

Frederick J. Foss and Roland Glowinski
ESAIM: Control, Optimisation and Calculus of Variations 27 27 (2021)
DOI: 10.1051/cocv/2021020
See this article

Evolution of phase transitions in methane hydrate

Nathan L. Gibson, F. Patricia Medina, Malgorzata Peszynska and Ralph E. Showalter
Journal of Mathematical Analysis and Applications 409 (2) 816 (2014)
DOI: 10.1016/j.jmaa.2013.07.023
See this article

Meshless projection iterative analysis of Signorini problems using a boundary element-free method

Xiaolin Li and Chunjun Yu
Computers & Mathematics with Applications 70 (5) 869 (2015)
DOI: 10.1016/j.camwa.2015.06.005
See this article

Penalty Methods for the Solution of Discrete HJB Equations—Continuous Control and Obstacle Problems

J. H. Witte and C. Reisinger
SIAM Journal on Numerical Analysis 50 (2) 595 (2012)
DOI: 10.1137/110835840
See this article

On the Use of Policy Iteration as an Easy Way of Pricing American Options

C. Reisinger and J. H. Witte
SIAM Journal on Financial Mathematics 3 (1) 459 (2012)
DOI: 10.1137/110823328
See this article

Preconditioned Solution of State Gradient Constrained Elliptic Optimal Control Problems

Roland Herzog and Susann Mach
SIAM Journal on Numerical Analysis 54 (2) 688 (2016)
DOI: 10.1137/130948045
See this article

An energy stable monolithic Eulerian fluid-structure finite element method

Frédéric Hecht and Olivier Pironneau
International Journal for Numerical Methods in Fluids 85 (7) 430 (2017)
DOI: 10.1002/fld.4388
See this article

Efficient Techniques for Shape Optimization with Variational Inequalities Using Adjoints

Daniel Luft, Volker H. Schulz and Kathrin Welker
SIAM Journal on Optimization 30 (3) 1922 (2020)
DOI: 10.1137/19M1257226
See this article

Optimal cone singularities for conformal flattening

Yousuf Soliman, Dejan Slepčev and Keenan Crane
ACM Transactions on Graphics 37 (4) 1 (2018)
DOI: 10.1145/3197517.3201367
See this article

Handling contacts in an Eulerian frame: a finite element approach for fluid structures with contacts

O. Pironneau
International Journal of Computational Fluid Dynamics 32 (2-3) 121 (2018)
DOI: 10.1080/10618562.2018.1490412
See this article

Kristina Motyčková, Radek Kučera, Alexandros Markopoulos and Václav Šátek
1863 340010 (2017)
DOI: 10.1063/1.4992517
See this article

Shape Optimization for Interface Identification with Obstacle Problems

Björn Führ, Volker Schulz and Kathrin Welker
Vietnam Journal of Mathematics 46 (4) 967 (2018)
DOI: 10.1007/s10013-018-0312-0
See this article

An element-free Galerkin method for the obstacle problem

Xiaolin Li and Haiyun Dong
Applied Mathematics Letters 112 106724 (2021)
DOI: 10.1016/j.aml.2020.106724
See this article

Combined symmetric BEM and semi-smooth Newton method for the contact problems in linear elasticity of Yukawa type

L. Tchoualag
Applied Mathematics and Computation 269 1007 (2015)
DOI: 10.1016/j.amc.2015.08.028
See this article

Fictitious domain formulations of unilateral problems: analysis and algorithms

J. Haslinger, T. Kozubek and R. Kučera
Computing 84 (1-2) 69 (2009)
DOI: 10.1007/s00607-009-0026-y
See this article

Control of Coupled Partial Differential Equations

Kazufumi Ito and Karl Kunisch
International Series of Numerical Mathematics, Control of Coupled Partial Differential Equations 155 175 (2007)
DOI: 10.1007/978-3-7643-7721-2_8
See this article

Trends in Computational Contact Mechanics

David Doyen, Alexandre Ern and Serge Piperno
Lecture Notes in Applied and Computational Mechanics, Trends in Computational Contact Mechanics 58 157 (2011)
DOI: 10.1007/978-3-642-22167-5_9
See this article

Multigrid Methods with Newton-Gauss-Seidel Smoothing and Constraint Preserving Interpolation for Obstacle Problems

Chunxiao Wu and Justin W.L. Wan
Numerical Mathematics: Theory, Methods and Applications 8 (2) 199 (2015)
DOI: 10.4208/nmtma.2015.w08si
See this article

Constrained Optimization and Optimal Control for Partial Differential Equations

Luise Blank, Martin Butz, Harald Garcke, Lavinia Sarbu and Vanessa Styles
Constrained Optimization and Optimal Control for Partial Differential Equations 21 (2012)
DOI: 10.1007/978-3-0348-0133-1_2
See this article

Finite Element Methods for Partial Differential Equations for Option Pricing

Silke Prohl
SSRN Electronic Journal (2019)
DOI: 10.2139/ssrn.3312203
See this article

Several path-following methods for a class of gradient constrained variational inequalities

M. Hintermüller and J. Rasch
Computers & Mathematics with Applications 69 (10) 1045 (2015)
DOI: 10.1016/j.camwa.2014.12.001
See this article

Error Estimates of Penalty Schemes for Quasi-Variational Inequalities Arising from Impulse Control Problems

Christoph Reisinger and Yufei Zhang
SIAM Journal on Control and Optimization 58 (1) 243 (2020)
DOI: 10.1137/19M124040X
See this article

Projection and self-adaptive projection methods for the Signorini problem with the BEM

Shougui Zhang
Computers & Mathematics with Applications 74 (6) 1262 (2017)
DOI: 10.1016/j.camwa.2017.06.021
See this article

Biofilm growth in porous media: Experiments, computational modeling at the porescale, and upscaling

Malgorzata Peszynska, Anna Trykozko, Gabriel Iltis, Steffen Schlueter and Dorthe Wildenschild
Advances in Water Resources 95 288 (2016)
DOI: 10.1016/j.advwatres.2015.07.008
See this article

Parallelized POD-based suboptimal economic model predictive control of a state-constrained Boussinesq approximation

Julian Andrej, Lars Grüne, Luca Mechelli, Thomas Meurer, Simon Pirkelmann and Stefan Volkwein
Computers & Mathematics with Applications 116 71 (2022)
DOI: 10.1016/j.camwa.2021.09.004
See this article

A penalty scheme and policy iteration for nonlocal HJB variational inequalities with monotone nonlinearities

Christoph Reisinger and Yufei Zhang
Computers & Mathematics with Applications 93 199 (2021)
DOI: 10.1016/j.camwa.2021.04.011
See this article

A Neural Network-Based Policy Iteration Algorithm with Global $$H^2$$-Superlinear Convergence for Stochastic Games on Domains

Kazufumi Ito, Christoph Reisinger and Yufei Zhang
Foundations of Computational Mathematics 21 (2) 331 (2021)
DOI: 10.1007/s10208-020-09460-1
See this article

Approximation Schemes for Mixed Optimal Stopping and Control Problems with Nonlinear Expectations and Jumps

Roxana Dumitrescu, Christoph Reisinger and Yufei Zhang
Applied Mathematics & Optimization 83 (3) 1387 (2021)
DOI: 10.1007/s00245-019-09591-0
See this article

Daniel Luft and Kathrin Welker
11712 579 (2019)
DOI: 10.1007/978-3-030-26980-7_60
See this article

Oleg Reichmann and Christoph Schwab
2001 137 (2010)
DOI: 10.1007/978-3-642-14007-5_3
See this article

Volker H. Schulz and Kathrin Welker
172 397 (2022)
DOI: 10.1007/978-3-030-79393-7_16
See this article

A self-adaptive projection method for contact problems with the BEM

Shougui Zhang and Xiaolin Li
Applied Mathematical Modelling 55 145 (2018)
DOI: 10.1016/j.apm.2017.10.022
See this article

Norbert Hilber, Oleg Reichmann, Christoph Schwab and Christoph Winter
65 (2013)
DOI: 10.1007/978-3-642-35401-4_5
See this article

The Legacy of Roland Glowinski

Alain Bensoussan and Olivier Pironneau
Comptes Rendus. Mécanique 351 (S1) 1 (2023)
DOI: 10.5802/crmeca.169
See this article

Rapid Methods for the Resolution of Contact Problems in Static Linear Elasticity

Laurent Tchoualag, Lionel Ouya Ndjansi, Jean Louis Woukeng and Eric Florentin
Mathematical Problems in Engineering 2023 1 (2023)
DOI: 10.1155/2023/9960116
See this article

Newton’s method for reinforcement learning and model predictive control

Dimitri Bertsekas
Results in Control and Optimization 7 100121 (2022)
DOI: 10.1016/j.rico.2022.100121
See this article

On the uniqueness of non-reducible multi-player control problems

Veronika Karl and Frank Pörner
Optimization Methods and Software 36 (6) 1259 (2021)
DOI: 10.1080/10556788.2019.1694021
See this article

Articles citing this article

Cited article:

Semi–Smooth Newton Methods for Variational Inequalities of the First Kind

This article has been cited by the following article(s):