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Conforming and Nonconforming Virtual Element Methods for Signorini Problems
In this paper, we design and analyze the conforming and nonconforming virtual element methods for the Signorini problem. Under some regularity...
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Antonio Signorini and the proto-history of the non-linear theory of elasticity
Antonio Signorini’s contribution to the constitutive theory of non-linear elasticity is reconstructed and analyzed. Some uninformed opinions...
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Stability to Signorini Problem with Pointwise Dam**
We consider the Timoshenko beam model which can be in contact to two rigid obstacles and subject to a pointwise dam**. We analyze the existence in...
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A weak Galerkin method with rectangle partitions for the Signorini problem
A weak Galerkin method with rectangle partitions is built for solving the Signorini problem in two-dimensional space. In the method, we use a new...
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Finite Elements for Signorini
This chapter is devoted to the finite element approximation of the Signorini problem ( 3.12 )...
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Homogenization of quasilinear problems with semilinear terms and Signorini boundary conditions in perforated domains
This paper studies the upscaling of an elliptic problem with a highly oscillating quasilinear matrix coefficient, a quasilinear term, and a...
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Strange Operator in Homogenization of the Diffusion Equation in a Domain Perforated Along of a Manifold with Dynamic Signorini Condition on Perforation Boundary. Critical Case
We study the homogenization problem for the Poisson equation in a domain perforated along a manifold with the dynamic Signorini boundary condition on...
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Error analysis of the compliance model for the Signorini problem
The present paper is concerned with a class of penalized Signorini problems also called normal compliance models. These nonlinear models approximate...
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Signorini’s Problem
In this chapter, we present the Signorini problem in small strain elasticity, as a first step before going into its numerical approximation and into...
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Pointwise a Posteriori Error Analysis of a Finite Element Method for the Signorini Problem
In this article, we develop a posteriori error control of conforming finite element method in maximum norm for the one-body contact problem. The...
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The Problem of the Location of an Inclusion in a Two-Dimensional Elastic Body with Two Thin Rigid Inclusions
We study the optimal control problem for nonlinear mathematical models describing the equilibrium state of an inhomogeneous body, where the...
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Augmented Lagrangian Method for Thin Plates with Signorini Boundaries
We consider C 1-continuous approximations of the Kirchhoff plate problem in combination with a mesh dependent augmented Lagrangian method on a simply...
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Regularity of the Solution of the Scalar Signorini Problem in Polygonal Domains
The Signorini problem for the Laplace operator is considered in a general polygonal domain. It is proved that the coincidence set consists of a...
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Equilibrium Problem for an Inhomogeneous Kirchhoff–Love Plate Contacting with a Partially Delaminated Inclusion
AbstractA new mathematical model describing an equilibrium of an elastic Kirchhoff-Love plate is proposed. We suppose that the plate may come into...
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Correction to: Finite element error estimates in non-energy norms for the two-dimensional scalar Signorini problem
A correction to this paper has been published: https://doi.org/10.1007/s00211-021-01204-9
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Virtual Element Method for Control Constrained Dirichlet Boundary Control Problem Governed by the Diffusion Problem
This article develops a conforming virtual element method for a control-constrained Dirichlet boundary optimal control problem governed by the...
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Sensitivity Analysis of a Scalar Mechanical Contact Problem with Perturbation of the Tresca’s Friction Law
This paper investigates the sensitivity analysis of a scalar mechanical contact problem described by a boundary value problem involving the Tresca’s...
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Finite element error estimates in non-energy norms for the two-dimensional scalar Signorini problem
This paper is concerned with error estimates for the piecewise linear finite element approximation of the two-dimensional scalar Signorini problem on...
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Almost minimizers for the thin obstacle problem
We consider Anzellotti-type almost minimizers for the thin obstacle (or Signorini) problem with zero thin obstacle and establish their
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An Equilibrium Problem for a Kirchhoff–Love Plate, Contacting an Obstacle by Top and Bottom Edges
AbstractA new model describing the equilibrium of a Kirchhoff–Love plate which may come into mechanical contact with a rigid non-deformable obstacle...
