A dual‐primal finite element tearing and interconnecting method for nonlinear variational inequalities utilizing linear local problems

A Finite Element Approach for the Dual Rudin--Osher--Fatemi Model and Its Nonoverlapping Domain Decomposition Methods

(2019) Chang-Ock Lee et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

A Finite Element Nonoverlapping Domain Decomposition Method with Lagrange Multipliers for the Dual Total Variation Minimizations

(2019) Chang-Ock Lee et al.   JOURNAL OF SCIENTIFIC COMPUTING

Domain Decomposition Methods Using Dual Conversion for the Total Variation Minimization with L1 Fidelity Term

(2018) Chang-Ock Lee et al.   JOURNAL OF SCIENTIFIC COMPUTING

Nonlinear FETI-DP and BDDC Methods: A Unified Framework and Parallel Results

(2017) Axel Klawonn et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

An introduction to continuous optimization for imaging

(2016) Antonin Chambolle et al.   ACTA NUMERICA

A strongly convergent primal–dual method for nonoverlapping domain decomposition

(2015) Hédy Attouch et al.   NUMERISCHE MATHEMATIK

Toward Extremely Scalable Nonlinear Domain Decomposition Methods for Elliptic Partial Differential Equations

(2015) Axel Klawonn et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Nonlinear FETI-DP and BDDC Methods

(2014) Axel Klawonn et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Adaptive Restart for Accelerated Gradient Schemes

(2013) Brendan O’Donoghue et al.   FOUNDATIONS OF COMPUTATIONAL MATHEMATICS

Two Domain Decomposition Methods for Auxiliary Linear Problems of a Multibody Elliptic Variational Inequality

(2013) Jungho Lee   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Gradient methods for minimizing composite functions

(2012) Yu. Nesterov   MATHEMATICAL PROGRAMMING

A theoretically supported scalable TFETI algorithm for the solution of multibody 3D contact problems with friction

(2011) Z. Dostál et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Over-relaxation of the fast iterative shrinkage-thresholding algorithm with variable stepsize

(2011) Masao Yamagishi et al.   INVERSE PROBLEMS

One- and two-level Schwarz methods for variational inequalities of the second kind and their application to frictional contact

(2011) L. Badea et al.   NUMERISCHE MATHEMATIK

Projector preconditioning and transformation of basis in FETI-DP algorithms for contact problems

(2010) Marta Jarošová et al.   MATHEMATICS AND COMPUTERS IN SIMULATION

Superrelaxation and the rate of convergence in minimizing quadratic functions subject to bound constraints

(2009) Zdeněk Dostál et al.   COMPUTATIONAL OPTIMIZATION AND APPLICATIONS

The FETI family of domain decomposition methods for inequality-constrained quadratic programming: Application to contact problems with conforming and nonconforming interfaces

(2009) Philip Avery et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Scalable TFETI algorithm for the solution of multibody contact problems of elasticity

(2009) Z. Dostál et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems

(2009) Amir Beck et al.   SIAM Journal on Imaging Sciences

A dual iterative substructuring method with a penalty term

(2008) Chang-Ock Lee et al.   NUMERISCHE MATHEMATIK