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Approximate Efficient Solutions of Nonsmooth Vector Optimization Problems via Approximate Vector Variational Inequalities
In this work, we demonstrate the connection between the solutions of approximate vector variational inequalities and approximate efficient solutions...
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Evolutionary variational–hemivariational inequalities with applications to dynamic viscoelastic contact mechanics
The purpose of this work is to introduce and investigate a complicated variational–hemivariational inequality of parabolic type with...
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On nonlinear perturbations of a periodic integrodifferential Kirchhoff equation with critical exponential growth
In this paper, we investigate the existence of solutions for a class of integrodifferential Kirchhoff equations. These equations involve a nonlocal...
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A Variational Approach for the Determination of Continuous Pareto Frontier for Multi-objective Problems
In this paper, a novel approach is proposed to generate set of Pareto points to represent the optimal solutions along the Pareto frontier. This...
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Optimal control of loads for an equilibrium problem describing a point contact of an elastic body with a sharp-shaped stiffener
We consider a non-classical 2 D mathematical equilibrium model describing a possible mechanical contact of a composite structure having a sharp-shaped...
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Minimax Inequalities and Variational Equations
In this paper we study some weak conditions guaranteeing the validity of several minimax inequalities and illustrate the possibilities of such a tool...
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Distributed Nash equilibrium seeking with order-reduced dynamics based on consensus exact penalty
In this paper, we consider a networked game with coupled constraints and focus on variational Nash equilibrium seeking. For distributed algorithm...
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Stabilised Variational Multi-scale Finite Element Formulations for Viscoelastic Fluids
The objective of this article is to summarise the work that we have been doing as a group in the context of stabilised finite element formulations...
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On equilibrium of a two-layer elastic structure with a crack in non-coercive case
The paper concerns an analysis of a free boundary problem describing an equilibrium state of a two-layer elastic structure with a crack in a...
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Prototype One-Dimensional Boundary-Value Problem (BVP): Governing Differential Equation and Variational Formulations with Examples
In this chapter we introduce the prototype one-dimensional BVP and present the corresponding Principle of Minimum Potential Energy that will serve as...
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Distributed constrained aggregative games of uncertain Euler-Lagrange systems under unbalanced digraphs
In this paper, the constrained Nash equilibrium seeking problem of aggregative games is investigated for uncertain nonlinear Euler-Lagrange (EL)...
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Variational linearization of pure traction problems in incompressible elasticity
We consider pure traction problems, and we show that incompressible linearized elasticity can be obtained as variational limit of incompressible...
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Periodic Greenhill’s Problem for Twisted Elastic Rod
In this chapter the authors demonstrate the isoperimetric inequality arising in exactly solvable structural optimization problem of stability under...
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An experimental study of neural estimators of the mutual information between random vectors modeling power spectrum features
Mutual information (MI) quantifies the statistical dependency between a pair of random variables and plays a central role in signal processing and...
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Scale Effect of the Model Extent on Seepage Analysis of Circular Tunnels under Drained Conditions
Numerical simulations have been widely used to predict groundwater inflow into tunnels during excavations. An appropriate geometric size of a...
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Variational Contact-Implicit Trajectory Optimization
Contact constraints arise naturally in many robot planning problems. In recent years, a variety of contact-implicit trajectory optimization...
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Variational Modelling of Strain Localization in Solids: A Computational Mechanics Point of View
Strain localization is one of the most challenging phenomena in solid mechanics. It occurs when strains concentrate in very narrow bands within a...
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On the Applications of Nonsmooth Vector Optimization Problems to Solve Generalized Vector Variational Inequalities Using Convexificators
In this paper, we employ the characterization for an approximate convex function in terms of its convexificator to establish the relationships...
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Analysis of Physics-Based Optical Flow
This chapter describes the mathematical aspects of the variational optical flow solution to preserve discontinuities in a velocity field extracted...
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Well-posedness of the governing equations for a quasi-linear viscoelastic model with pressure-dependent moduli in which both stress and strain appear linearly
The response of a body described by a quasi-linear viscoelastic constitutive relation, whose material moduli depend on the mechanical pressure (that...
