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A NITSCHE FINITE ELEMENT METHOD FOR DYNAMIC CONTACT: 1. SPACE SEMI-DISCRETIZATION AND TIME-MARCHING SCHEMES.
- Source :
- ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN); Mar2015, Vol. 49 Issue 2, p481-502, 22p
- Publication Year :
- 2015
-
Abstract
- This paper presents a new approximation of elastodynamic frictionless contact problems based both on the finite element method and on an adaptation of Nitsche's method which was initially designed for Dirichlet's condition. A main interesting characteristic is that this approximation produces well-posed space semi-discretizations contrary to standard finite element discretizations. This paper is then mainly devoted to present an analysis of the space semi-discretization in terms of consistency, well-posedness and energy conservation, and also to study the well-posedness of some time-marching schemes (θ-scheme, Newmark and a new hybrid scheme). The stability properties of the schemes and the corresponding numerical experiments can be found in a second paper [F. Chouly, P. Hild and Y. Renard, A Nitsche finite element method for dynamic contact. 2. Stability analysis and numerical experiments. ESAIM: M2AN 49 (2015) 503-528.]. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 28227840
- Volume :
- 49
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN)
- Publication Type :
- Academic Journal
- Accession number :
- 110645033
- Full Text :
- https://doi.org/10.1051/m2an/2014041