A Nitsche finite element method for dynamic contact: 1. Space semi-discretization and time-marching schemes
نویسندگان
چکیده
منابع مشابه
A Nitsche finite element method for dynamic contact : 2. Stability of the schemes and numerical experiments
In a previous paper [4], we adapted Nitsche’s method for the approximation of the linear elastodynamic unilateral contact problem. The space semi-discrete problem was analyzed and some schemes (θ-scheme, Newmark and a new hybrid scheme) were proposed and proved to be well-posed under appropriate CFL conditons. In the present paper we look at the stability properties of the above-mentioned schem...
متن کاملNitsche finite element method for parabolic problems
This paper deals with a method for the numerical solution of parabolic initialboundary value problems in two-dimensional polygonal domains Ω which are allowed to be non-convex. The Nitsche finite element method (as a mortar method) is applied for the discretization in space, i.e. non-matching meshes are used. For the discretization in time, the backward Euler method is employed. The rate of con...
متن کاملSpace-Time Finite Element Methods for Dynamic Frictional Contact Problems
Space-time finite element methods for dynamic frictional contact problems are discussed in this article. The discretization scheme is based on a mixed formulation of the continuous problem, where the Lagrange multipliers represent the contact and frictional stresses. Using piecewise d-linear and globally continuous basis functions in space and time to construct the trial space for the displacem...
متن کاملTime-Integration Schemes for the Finite Element Dynamic Signorini Problem
The discretization of the dynamic Signorini problem with finite elements in space and a time-stepping scheme is not straightforward. Consequently a large variety of methods for this problem have been designed over the last two decades. Up to date, no systematic comparison of such methods has been performed. The aim of the present work is to classify and compare them. For each method, we discuss...
متن کاملA Unified Topological Layer for Finite Element Space Discretization
A unified topological layer for mesh generation has been created to benefit from current development, to reuse existing, well tested and reliable methods, such as the Delaunay or the Advancing Front mesh generation approach, and to combine them to be able to interchange these methods, without taking a detour using file formats. In addition, by modularizing existing meshing kernels, this approac...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: ESAIM: Mathematical Modelling and Numerical Analysis
سال: 2015
ISSN: 0764-583X,1290-3841
DOI: 10.1051/m2an/2014041