Augmented Lagrangian approach to deriving discontinuous Galerkin methods for nonlinear elasticity problems
Sign Up to like & getrecommendations! Published in 2022 at "International Journal for Numerical Methods in Engineering"
DOI: 10.1002/nme.7039
Abstract: We use the augmented Lagrangian formalism to derive discontinuous Galerkin (DG) formulations for problems in nonlinear elasticity. In elasticity, stress is typically a symmetric function of strain, leading to symmetric tangent stiffness matrices in Newton's… read more here.
Keywords: discontinuous galerkin; elasticity; lagrangian approach; nonlinear elasticity ... See more keywords
Modified augmented Lagrangian coordination and alternating direction method of multipliers with parallelization in non-hierarchical analytical target cascading
Sign Up to like & getrecommendations! Published in 2018 at "Structural and Multidisciplinary Optimization"
DOI: 10.1007/s00158-018-1907-5
Abstract: Analytical Target Cascading (ATC) is a decomposition-based optimization methodology that partitions a system into subsystems and then coordinates targets and responses among subsystems. Augmented Lagrangian with Alternating Direction method of multipliers (AL-AD), one of efficient… read more here.
Keywords: analytical target; coordination; lagrangian coordination; target cascading ... See more keywords
An improved artificial bee colony with modified augmented Lagrangian for constrained optimization
Sign Up to like & getrecommendations! Published in 2018 at "Soft Computing"
DOI: 10.1007/s00500-017-2665-9
Abstract: Artificial bee colony (ABC) algorithm has been successfully applied to solve constrained optimization problems (COPs). However, it is noteworthy that when using ABC to deal with COPs, the commonly used constraint-handling technique is the Deb’s… read more here.
Keywords: bee colony; artificial bee; optimization; constrained optimization ... See more keywords
Exact augmented Lagrangian functions for nonlinear semidefinite programming
Sign Up to like & getrecommendations! Published in 2018 at "Computational Optimization and Applications"
DOI: 10.1007/s10589-018-0017-z
Abstract: In this paper, we study augmented Lagrangian functions for nonlinear semidefinite programming (NSDP) problems with exactness properties. The term exact is used in the sense that the penalty parameter can be taken appropriately, so a… read more here.
Keywords: programming; functions nonlinear; semidefinite programming; nonlinear semidefinite ... See more keywords
An Augmented Lagrangian method for quasi-equilibrium problems
Sign Up to like & getrecommendations! Published in 2020 at "Computational Optimization and Applications"
DOI: 10.1007/s10589-020-00180-4
Abstract: In this paper, we propose an Augmented Lagrangian algorithm for solving a general class of possible non-convex problems called quasi-equilibrium problems (QEPs). We define an Augmented Lagrangian bifunction associated with QEPs, introduce a secondary QEP… read more here.
Keywords: lagrangian method; method quasi; augmented lagrangian; equilibrium problems ... See more keywords
Augmented Lagrangian index-3 semi-recursive formulations with projections: Kinematics and dynamics
Sign Up to like & getrecommendations! Published in 2020 at "Multibody System Dynamics"
DOI: 10.1007/s11044-020-09771-9
Abstract: MBSLIM (Multibody Systems at Laboratorio de Ingenieria Mecanica) multibody library includes some global formulations for the dynamics and sensitivity analysis of multibody systems. The extension of the library to accommodate topological formulations in relative (joint)… read more here.
Keywords: recursive formulations; dynamics augmented; multibody; kinematics ... See more keywords
An augmented Lagrangian proximal alternating method for sparse discrete optimization problems
Sign Up to like & getrecommendations! Published in 2020 at "Numerical Algorithms"
DOI: 10.1007/s11075-019-00705-x
Abstract: In this paper, we propose an augmented Lagrangian proximal alternating (ALPA) method for solving two classes of large-scale sparse discrete constrained optimization problems. Specifically, the ALPA method generates a sequence of augmented Lagrangian (AL) subproblems… read more here.
Keywords: augmented lagrangian; sparse discrete; proximal alternating; method sparse ... See more keywords
Augmented Lagrangian alternating direction method for low-rank minimization via non-convex approximation
Sign Up to like & getrecommendations! Published in 2017 at "Signal, Image and Video Processing"
DOI: 10.1007/s11760-017-1084-9
Abstract: This paper concerns the low-rank minimization problems which consist of finding a matrix of minimum rank subject to linear constraints. Many existing approaches, which used the nuclear norm as a convex surrogate of the rank… read more here.
Keywords: rank minimization; non convex; low rank; augmented lagrangian ... See more keywords
A second-order convergence augmented Lagrangian method using non-quadratic penalty functions
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DOI: 10.1007/s12597-019-00366-3
Abstract: The purpose of the present paper is to study the global convergence of a practical Augmented Lagrangian model algorithm that considers non-quadratic Penalty–Lagrangian functions. We analyze the convergence of the model algorithm to points that… read more here.
Keywords: augmented lagrangian; penalty; convergence; quadratic penalty ... See more keywords
On the convergence of augmented Lagrangian method for optimal transport between nonnegative densities
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.123811
Abstract: The dynamical formulation of the optimal transport problem, introduced by J. D. Benamou and Y. Brenier, corresponds to the time-space search of a density and a momentum minimizing a transport energy between two densities. In… read more here.
Keywords: augmented lagrangian; transport; convergence augmented; saddle point ... See more keywords
Sparse augmented Lagrangian algorithm for system identification
Sign Up to like & getrecommendations! Published in 2019 at "Neurocomputing"
DOI: 10.1016/j.neucom.2018.11.019
Abstract: Abstract A huge class of nonlinear dynamic systems can be approximated by the Nonlinear AutoRegressive with eXogenous inputs (NARX) models. This paper proposes a novel method, Sparse Augmented Lagrangian (SAL), for NARX model variable selection… read more here.
Keywords: lagrangian algorithm; augmented lagrangian; model; sparse augmented ... See more keywords