Aug 03, 2020

Regularization Methods And Finite Element Approximation Of Hemivariational Inequalities With Applications To Nonmonotone Contact Problems

regularization methods and finite element approximation of hemivariational inequalities with applications to nonmonotone contact problems

Regularization Methods and Finite Element Approximation of Hemivariational Inequalities with Applications to Nonmonotone Contact Problems. Göttingen : Cuvillier Verlag, ©2012: Material Type: Document, Internet resource: Document Type: Internet Resource, Computer File: All Authors / Contributors: Nina Ovcharova

Regularization Methods And Finite Element Approximation Of ...

Ovcharova, N.: Regularization methods and finite element approximation of hemivariational inequalities with applications to nonmonotone contact problems. Ph.D. thesis, Universität der Bundeswehr München, Cuvillier, Göttingen (2012) Google Scholar

Numerical analysis of hemivariational inequalities in ...

Request PDF | Finite Element Approximation of Hemivariational Inequalities | The paper deals with a finite element approximation of elliptic and parabolic variational inequalities. Elliptic ...

Numerical analysis of hemivariational inequalities in ...

(2019) On numerical approximation of a variational–hemivariational inequality modeling contact problems for locking materials. Computers & Mathematics with Applications 77 :11, 2894-2905. (2019) Noncoercive mixed equilibrium problems under pseudomonotone perturbations and applications to nonlinear evolution equations with lack of coercivity.

A Study of Regularization Techniques of Nondifferentiable ...

The hemivariational inequality is formulated with the use of the generalized directional derivative and generalized gradient in the sense of Clarke. We provide an existence and uniqueness result for the hemivariational inequality. Then we apply the finite element method to solve the hemivariational inequality.

Coupling of Finite and Boundary Element Methods for an ...

(2019) Virtual Element Method for an Elliptic Hemivariational Inequality with Applications to Contact Mechanics. Journal of Scientific Computing 81 :3, 2388-2412. (2019) Numerical analysis of an evolutionary variational–hemivariational inequality with application to a dynamic contact problem.

Numerical Analysis of a Hyperbolic Hemivariational ...

Methods in the Applied Sciences Received XXXX (www.interscience.wiley.com) DOI: 10.1002/sim.0000 MOS subject classi cation: 65M38; 74M15 On the coupling of regularization techniques and the boundary element method for a hemivariational inequality modelling a delamination problem N. Ovcharova

On Semicoercive Variational-Hemivariational Inequalities ...

Unilateral Contact Problems: Variational Methods and Existence Theorems a valuable resource for scientists involved in the analysis of contact problems and for engineers working on the numerical ...

Numerical Analysis of Elliptic Hemivariational ...

nonmonotone semicoercive contact problems in solid mechanics modelled by hemiv aria- tional inequalities, a class of variational inequalities (VIs) introduced and studied by Pana- giotopoulos [3 ...

Semicoercive Variational Inequalities: From Existence to ...

In this paper we consider a mathematical model describing a dynamic linear elastic contact problem with nonmonotone skin effects. The subdifferential …

On numerical approximation of a variational ...

Ovcharova, N.: Regularization Methods and Finite Element Approximation of Hemivariational Inequalities with Applications to Nonmonotone Contact Problems. Ph.D. thesis, Universität der Bundeswehr München, Cuvillier Verlag, Göttingen (2012) Google Scholar

(PDF) On penalty method for unilateral contact problem ...

In this paper, we take a unilateral contact problem with a non-monotone contact condition as an example to show the convergence of a penalty based finite element method as both the penalty parameter and the finite element mesh-size tend to zero.

On convergence of numerical methods for variational ...

By means of them, problems with nonmonotone, possibly multivalued, constitutive laws can be formulated, mathematically analyzed and finally numerically solved. The present book gives a rigorous analysis of finite element approximation for a class of hemivariational inequalities of elliptic and parabolic type.

Numerical analysis of an evolutionary variational ...

Math. 254 (2013) 175 -184 [2] N. Ovcharova and J.Gwinner, A study of regularization techniques of nondi erentiable optimization in view of application to hemivariational inequalities, J. Optim Theory Appl., DOI 10.1007/s10957-014-0521-y (2014) [3] N. Ovcharova, Regularization Methods and Finite Element Approximation of Some Hemivariational ...

Numerical treatment of hemivariational inequalities in ...

Finite Element Method for Hemivariational Inequalities - Theory, Methods and Applications (Nonconvex Optimization and Its Applications (35)) - Kindle edition by Haslinger, J., Miettinen, M., Panagiotopoulos, Panagiotis D., Miettinen, M., Panagiotopoulos, Panagiotis. Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and ...

ANALYSIS OF A CONTACT PROBLEM WITH NORMAL COMPLIANCE ...

Hemivariational inequalities arise in nonsmooth mechanics of solid involving nonmonotone and multi-valued mechanical relations. Typically, after the finite-element discretization, they lead to constrained nonsmooth nonconvex optimization problems with objective functions being the sum of quadratic functions and nonsmooth terms.

A class of hemivariational inequalities for nonstationary ...

Quasistatic Contact Problems in Viscoelasticity and Viscoplasticity American Mathematical Society Providence RI/International Press Sommerville MA. Haslinger J. Miettinen M. and Panagiotopoulos P.D. (1999). Finite Element Method for Hemivariational Inequalities. Theory Methods and Applications Kluwer Academic Publishers Boston MA/Dordrecht/London.

An analytical and numerical approach to a bilateral ...

We consider a contact process between a body and a foundation. The body is assumed to be viscoelastic and piezoelectric and the contact is dynamic. Unlike many related papers, the body is assumed to be non-clamped. The contact conditions has a form of inclusions involving the Clarke subdifferential of locally Lipschitz functionals and they have nonmonotone character.

Kisah Para Sahabat Rasulullah Saw Mdi Channel

C. Fang, K. Czuprynski, W. Han, X.L. Cheng, and X. Dai, Finite element method for a stationary Stokes hemivariational inequality with slip boundary condition, to appear in IMA Journal of Numerical Analysis. W. Han and M. Sofonea, Convergence of penalty based numerical methods for variational inequalities and hemivariational inequalities, Numer ...

Convergence Results for Elliptic Variational ...

and possibly multi-valued constitutive or interface laws for deformable bodies. Studies of hemivariational inequalities can be found in the comprehensive references [9–15]. The inequality problems from applications can only be solved by numerical methods. The book [16] is devoted to the finite element approximations of ∗ Corresponding author.

Nonconvex Optimization and Its Applications Ser.: Finite ...

[15] N. Kikuchi and J.T. Oden, Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods, SIAM, Philadelphia, 1988. [16] S. Migorski, A. Ochal and M. Sofonea, Nonlinear Inclusions and Hemivariational Inequalities. Models and Analysis of Contact Problems, Advances in Mechanics and Mathematics 26,

Variational inequalities - Lions - 1967 - Communications ...

This paper deals with an evolution inclusion which is an equivalent form of a variational-hemivariational inequality arising in quasistatic contact problems for viscoelastic materials. Existence of a weak solution is proved in a framework of evolution triple of spaces via the Rothe method and the theory of monotone operators.

Regularization Inertial Proximal Point Algorithm for ...

The introduction of resolution-consistent regularization may pave the way for adaptive finite element methods (FEM) to be used for solving inverse problems. Despite its many successes in reducing complexity and enhancing efficiency for solving PDE-based forward problems, adaptive FEM has not yet been widely applied to inverse problems.

Mathematics – Page 1/5 – Cuvillier Verlag

In this paper, the effect of the FE discretization density on the results of both convex and nonconvex‐nonsmooth frictional contact and adhesive contact interface problems is investigated. The tool for this study is a variational formulation leading to an iterative method for the numerical solution of the arising nonconvex‐nonsmooth optimization problems. Various cases of monotone and ...


Regularization Methods And Finite Element Approximation Of Hemivariational Inequalities With Applications To Nonmonotone Contact Problems



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Regularization Methods And Finite Element Approximation Of Hemivariational Inequalities With Applications To Nonmonotone Contact Problems