Results 41 to 50 of about 45,742 (207)

Domain Decomposition with Nonmatching Grids: Augmented Lagrangian Approach [PDF]

open access: yesMathematics of Computation, 1995
We propose and study a domain decomposition method which treats the constraint of displacement continuity at the interfaces by augmented Lagrangian techniques and solves the resulting problem by a parallel version of the Peaceman-Rachford algorithm. We prove that this algorithm is equivalent to the fictitious overlapping method introduced by P.L. Lions.
Le Tallec, Patrick, Sassi, Taoufik
openaire   +2 more sources

A Soft‐Tip Hydraulically Steerable Catheter for Enhanced Flexibility and Safety in Vascular Interventions

open access: yesAdvanced Intelligent Systems, EarlyView.
This study introduces a hydraulically steerable catheter with a soft tip in vascular procedures. The steering soft tip achieves a minimal diameter of 2.6 mm and supports a 180° bend. Real‐time shape and position tracking, facilitated by segmentation and endpoint detection techniques, improves navigation.
Jingyi Kang   +9 more
wiley   +1 more source

A Unified Approach to the Global Exactness of Penalty and Augmented Lagrangian Functions I: Parametric Exactness

open access: yes, 2018
In this two-part study we develop a unified approach to the analysis of the global exactness of various penalty and augmented Lagrangian functions for finite-dimensional constrained optimization problems.
Dolgopolik, M. V.
core   +2 more sources

Cosmological Structure Formation with Augmented Lagrangian Perturbation Theory [PDF]

open access: yes, 2013
We present a new fast and efficient approach to model structure formation with Augmented Lagrangian Perturbation Theory (ALPT). Our method is based on splitting the displacement field into a long and a short-range component.
Heß, Steffen, Kitaura, Francisco-Shu
core   +1 more source

A Novel Contact‐Implicit Trajectory Optimization Framework for Quadruped Locomotion without Fixed Contact Sequences

open access: yesAdvanced Intelligent Systems, EarlyView.
Legged robots have advanced in environmental interaction through contact, but most works rely on fixed contact sequences. This work presents a new method based on an indirect optimization method for legged robots to automatically generate contact sequences for complex movements.
Yaowei Chen, Jie Zhang, Ming Lyu
wiley   +1 more source

Planning and Control Framework for a Quadruped Robot With Changeable Configuration

open access: yesAdvanced Intelligent Systems, EarlyView.
Multiconfiguration quadruped robots enhance adaptability by switching between mammal‐like and reptile‐like morphologies. This study presents a nonlinear constraint‐based motion planner integrated with a hierarchical whole‐body controller, enabling robust configuration switching and locomotion on complex terrains. Experiments on slopes, irregular bricks,
Guanglin Lu   +5 more
wiley   +1 more source

Total Fractional-Order Variation-Based Constraint Image Deblurring Problem

open access: yesMathematics, 2023
When deblurring an image, ensuring that the restored intensities are strictly non-negative is crucial. However, current numerical techniques often fail to consistently produce favorable results, leading to negative intensities that contribute to ...
Shahid Saleem   +2 more
doaj   +1 more source

Existence of augmented Lagrange multipliers: reduction to exact penalty functions and localization principle

open access: yes, 2018
In this article, we present new general results on existence of augmented Lagrange multipliers. We define a penalty function associated with an augmented Lagrangian, and prove that, under a certain growth assumption on the augmenting function, an ...
Dolgopolik, M. V.
core   +1 more source

Wearable exoskeleton robot control using radial basis function‐based fixed‐time terminal sliding mode with prescribed performance

open access: yesAsian Journal of Control, EarlyView.
Abstract This paper tackles the problem of robust and accurate fixed‐time tracking in human–robot interaction and deals with uncertainties. This work introduces a control approach for a wearable exoskeleton designed specifically for rehabilitation tasks.
Mahmoud Abdallah   +4 more
wiley   +1 more source

Exact augmented Lagrangian functions for nonlinear semidefinite programming

open access: yes, 2018
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 single minimization ...
Fukuda, Ellen H., Lourenço, Bruno F.
core   +1 more source

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