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A unified framework for three accelerated extragradient methods and further acceleration for variational inequality problems
The main strategy of this paper is intended to speed up the convergence of the inertial Mann iterative method and further speed up it through the...
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Variational Principles and Variational Inequalities
Two variational principles for incompressible viscoplastic fluids are derived, one for the velocity field and the stress tensor. In the absence of...
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A self-adaptive stochastic subgradient extragradient algorithm for the stochastic pseudomonotone variational inequality problem with application
In this paper, we introduce a stochastic self-adaptive subgradient extragradient approximation algorithm for solving the stochastic pseudomonotone...
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Variational integrators and graph-based solvers for multibody dynamics in maximal coordinates
Multibody dynamics simulators are an important tool in many fields, including learning and control in robotics. However, many existing dynamics...
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Constructing Nitsche’s Method for Variational Problems
Nitsche’s method is a well-established approach for weak enforcement of boundary conditions for partial differential equations (PDEs). It has many...
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Distributed algorithm for solving variational inequalities over time-varying unbalanced digraphs
In this paper, we study a distributed model to cooperatively compute variational inequalities over time-varying directed graphs. Here, each agent has...
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Connecting beams and continua: variational basis and mathematical analysis
We present a new variational principle for linking models of beams and deformable solids, providing also its mathematical analysis. Despite the...
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Long-time behavior of delay differential quasi-variational–hemivariational inequalities and application to contact problems
In this article, we study a class of differential quasi-variational–hemivariational inequalities involving time delays. We establish new systems and...
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Neutrosophic variational inequalities with applications in decision-making
In this paper, we introduced some new concepts of a neutrosophic set such as neutrosophic convex set, strongly neutrosophic convex set, neutrosophic...
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A variational formulation for three-dimensional linear thermoelasticity with ‘thermal inertia’
A variational model has been developed to investigate the coupled thermo-mechanical response of a three-dimensional continuum. The linear Partial...
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An effective iterative projection method for variational inequalities in Hilbert spaces
In this paper, a projection-type method is proposed for solving a variational inequality problem involving a monotone and Lipschitz continuous...
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The Variational Modeling of Hierarchical Structured Deformations
Hierarchical (first-order) structured deformations are studied from the variational point of view. The main contributions of the present research are...
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Variational Methods
In Continuum Mechanics, a problem is mathematically defined by a set of governing equations given in local (or strong) form, together with...
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Laplacian Regularized Variational Few-Shot Learning for Image Classification
We propose a two-stage meta-learning approach for few-shot image classification. The first (training) stage is realised by exploiting stochastic...
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Variational Methods
Energy or variational methods have an important place in Solid Mechanics both as an alternative to the more direct method of solving the governing...
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A semi-agnostic ansatz with variable structure for variational quantum algorithms
Quantum machine learning—and specifically Variational Quantum Algorithms (VQAs)—offers a powerful, flexible paradigm for programming near-term...
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Variational approach to viscoelastic fracture: comparison of a phase-field and a lip-field approach
Fracture of viscoelastic materials is considered to be a complex phenomenon due to their highly rate sensitive behavior. In this context, we are...
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Generalized variational principles for thermo-chemo-mechanical coupling systems based on decomposition of internal energy
A novel theoretical framework of thermo-chemo-mechanical coupling problems is proposed in this paper based on a decomposition of the internal energy...
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A DG/CR discretization for the variational phase-field approach to fracture
Variational phase-field models of fracture are widely used to simulate nucleation and propagation of cracks in brittle materials. They are based on...
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Variational formulation for fractional hyperbolic problems in the theory of viscoelasticity
In this article, a theoretical framework for problems involving fractional equations of hyperbolic type arising in the theory of viscoelasticity is...