On the finite element approximation of the obstacle problem of a Naghdi shell
DOI10.1016/j.cam.2023.115670OpenAlexW4388599488MaRDI QIDQ6145191
Serge Nicaise, Ismail Merabet, Sokina Khenfar
Publication date: 30 January 2024
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2023.115670
Variational inequalities (49J40) Contact in solid mechanics (74M15) Shells (74K25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) A priori estimates in context of PDEs (35B45) Iterative numerical methods for linear systems (65F10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with mechanics of deformable solids (35Q74) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Unnamed Item
- On the obstacle problem for a Naghdi shell
- On the convergence factor of Uzawa's algorithm
- Error estimates for the finite element solution of variational inequalities. Part II. Mixed methods
- Solution of variational inequalities in mechanics
- Error estimates for the finite element solution of variational inequalities. Part I. primal theory
- Regularity and a priori error analysis on anisotropic meshes of a Dirichlet problem in polyhedral domains
- Nagdhi's shell model: Existence, uniqueness and continuous dependence on the midsurface
- On the improved interior regularity of a boundary value problem modelling the displacement of a linearly elastic elliptic membrane shell subject to an obstacle
- An Introduction to the Regularity Theory for Elliptic Systems, Harmonic Maps and Minimal Graphs
- Remarks on strongly elliptic partial differential equations
- Numerical solution of saddle point problems
- On the rates of convergence of the finite element method
- Error Estimates for the Approximation of a Class of Variational Inequalities
- Edge Residuals Dominate A Posteriori Error Estimates for Low Order Finite Element Methods
- Existence et unicité pour le modéle de Nagdhi pour une coque peu réguliére
- The Primal-Dual Active Set Strategy as a Semismooth Newton Method
- Iterative Methods for Double Saddle Point Systems
- Mixed and Stabilized Finite Element Methods for the Obstacle Problem
- The Construction of Preconditioners for Elliptic Problems by Substructuring. I
- New development in freefem++
- On the improved interior regularity of the solution of a fourth order elliptic problem modelling the displacement of a linearly elastic shallow shell lying subject to an obstacle
- An obstacle problem for Koiter’s shells
- Mixed formulations for a class of variational inequalities
- A Unified Approach for Uzawa Algorithms
- Two Finite Element Approximations of Naghdi's Shell Model in Cartesian Coordinates
- Sur la régularité de la solution d'inéquations elliptiques
This page was built for publication: On the finite element approximation of the obstacle problem of a Naghdi shell
