On Newton polytopes of Lagrangian augmentations
AbstractThis note explores the use of Newton polytopes in the study of Lagrangian fillings of Legendrian submanifolds. In particular, we show that Newton polytopes associated to augmented values of Reeb chords can distinguish infinitely many distinct Lagrangian fillings, both for Legendrian links and higher dimensional Legendrian spheres.
Orsola Capovilla‐Searle, Roger Casals
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Hybridized augmented Lagrangian methods for contact problems
This paper addresses the problem of friction-free contact between two elastic bodies. We develop an augmented Lagrangian method that provides computational convenience by reformulating the contact problem as a nonlinear variational equality. To achieve this, we propose a Nitsche-based method incorporating a hybrid displacement variable defined on an ...
Erik Burman +2 more
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Equality‐embedded augmented Lagrangian neural network for DC optimal power flow
Direct current optimal power flow (DC‐OPF) problems need to be solved more frequently to maintain safety and economic power system operation. Traditional solvers take too much time to get optimal results.
Jiayu Han +5 more
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An accelerated proximal augmented Lagrangian method and its application in compressive sensing. [PDF]
Sun M, Liu J.
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Modified hybrid decomposition of the augmented Lagrangian method with larger step size for three-block separable convex programming. [PDF]
Sun M, Wang Y.
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Legged robots have advanced in environmental interaction through contact, but most works rely on fixed contact sequences. To enable automatic generation of contact sequences for more complex locomotion tasks, a novel contact‐implicit trajectory ...
Yaowei Chen, Jie Zhang, Ming Lyu
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An augmented Lagrangian method for sliding contact of soft tissue. [PDF]
Guo H +3 more
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Fast X-ray CT image reconstruction using a linearized augmented Lagrangian method with ordered subsets. [PDF]
Nien H, Fessler JA.
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Physics-informed neural networks with hybrid Kolmogorov-Arnold network and augmented Lagrangian function for solving partial differential equations. [PDF]
Zhang Z +5 more
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An augmented Lagrangian finite element formulation for 3D contact of biphasic tissues. [PDF]
Guo H, Spilker RL.
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