Adaptive numerical simulation of contact problems. Resolving local effects at the contact boundary in space and time.

Mirjam Walloth (1) , Rolf Krause (2) , Andreas Veeser (3)

1 Technische Universität Darmstadt, Fachbereich Mathematik, AG Numerik und Wissenschaftliches Rechnen
2 ICS - Institute of Computational Science
3 Dipartimento di Matematica "F. Brioschi"

This talk is concerned with the space discretization of static and the space and time discretization of dynamic contact problems. In particular, we derive a new efficient and reliable residual-type a posteriori error estimator for static contact problems and a new space-time connecting discretization scheme for dynamic contact problems in linear elasticity. The methods enable the efficient resolution of local effects at the contact boundary in space and time.

Mots clés: static and dynamic contact problems; residual type a posteriori error estimator; space; time connecting discretization

Domaines: Analyse numérique [math.NA]; Mécanique [physics]; Sciences de l'ingénieur [physics]

Mirjam Walloth, Rolf Krause, Andreas Veeser. Adaptive numerical simulation of contact problems. Resolving local effects at the contact boundary in space and time.. 2nd ECCOMAS Young Investigators Conference (YIC 2013), Sep 2013, Bordeaux, France. ⟨hal-00855850⟩