Mixed finite element methods for two-body contact problems

• Andreas Schröder ^[1] ; Heiko Kleemann ^[3] ; Heribert Blum ^[2]
  1. [1] University of Salzburg

     University of Salzburg

     Salzburg, Austria

     
  2. [2] Technical University of Dortmund

     Technical University of Dortmund

     Kreisfreie Stadt Dortmund, Alemania

     
  3. [3] echnische Universität Dortmund, Germany

  Mostrar afiliaciones +
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 283, Nº 1 (1 August 2015), 2015, págs. 58-70
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • This paper presents mixed finite element methods of higher-order for two-body contact problems of linear elasticity. The discretization is based on a mixed variational formulation proposed by Haslinger et al. which is extended to higher-order finite elements. The main focus is on the convergence of the scheme and on a priori estimates for the hh- and the pp-method. For this purpose, a discrete inf–sup condition is proven which guarantees the stability of the mixed method. Numerical results confirm the theoretical findings.