Search
Search Results
-
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...
-
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...
-
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...
-
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...
-
Finite Elements for Signorini
This chapter is devoted to the finite element approximation of the Signorini problem ( 3.12 )... -
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...
-
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...
-
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...
-
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... -
Existence and Exponential Decay for a Contact Problem Between Two Dissipative Beams
We deal with the Signorini contact problem between two Timoshenko beams. In this work we use the theory of semigroups to show the existence of...
-
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...
-
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...
-
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... -
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...
-
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...
-
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
-
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...
-
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...
-
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...