Convergence of mass redistribution method for the one-dimensional wave equation with a unilateral constraint at the boundary
From MaRDI portal
Publication:2877718
DOI10.1051/m2an/2013133zbMath1297.35148OpenAlexW2053670124MaRDI QIDQ2877718
Jérôme Pousin, Farshid Dabaghi, Adrien Petrov, Yves Renard
Publication date: 25 August 2014
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/m2an/2013133
Contact in solid mechanics (74M15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Wave equation (35L05) Unilateral problems for linear hyperbolic equations and variational inequalities with linear hyperbolic operators (35L85)
Related Items
Nitsche method for contact with Coulomb friction: existence results for the static and dynamic finite element formulations, Solvability of a pseudodifferential linear complementarity problem related to a viscoelastodynamic contact model, Elasto-plastic contact problems with heat exchange and fatigue, Energy conservative finite element semi-discretization for vibro-impacts of plates on rigid obstacles, A new heterogeneous asynchronous explicit-implicit time integrator for nonsmooth dynamics, Stable IMEX schemes for a Nitsche-based approximation of elastodynamic contact problems. Selective mass scaling interpretation, Elasto-plastic contact problems with heat exchange, A weighted finite element mass redistribution method for dynamic contact problems, A Nitsche finite element method for dynamic contact: 1. Space semi-discretization and time-marching schemes, A Nitsche finite element method for dynamic contact: 2. Stability of the schemes and numerical experiments, A robust finite element redistribution approach for elastodynamic contact problems
