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Computational Mechanics

, Volume 44, Issue 4, pp 481–491 | Cite as

Space adaptive finite element methods for dynamic Signorini problems

  • Heribert Blum
  • Andreas RademacherEmail author
  • Andreas Schröder
Original Paper

Abstract

Space adaptive techniques for dynamic Signorini problems are discussed. For discretisation, the Newmark method in time and low order finite elements in space are used. For the global discretisation error in space, an a posteriori error estimate is derived on the basis of the semi-discrete problem in mixed form. This approach relies on an auxiliary problem, which takes the form of a variational equation. An adaptive method based on the estimate is applied to improve the finite element approximation. Numerical results illustrate the performance of the presented method.

Keywords

Dynamic Signorini problem A posteriori error estimation Mesh refinement Finite element method 

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Copyright information

© Springer-Verlag 2009

Authors and Affiliations

  • Heribert Blum
    • 1
  • Andreas Rademacher
    • 1
    Email author
  • Andreas Schröder
    • 2
  1. 1.Institute of Applied MathematicsTechnische Universität DortmundDortmundGermany
  2. 2.Department of MathematicsHumboldt-Universität zu BerlinBerlinGermany

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