Numerical Analysis

Rolf Krause
Facolta di Lugano
Scienze informatiche
Universita della Svizzara Italiana

Presenter at Delft Symposium on Mathematical Modeling of Wound Healing

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Date: October 15, 2009. Location Pegasuszaal (Pegasus Lecture Room), Kluyverweg 6, Delft University of Technology, Delft, the Netherlands.

Abstract

Multiscale Simulation Techniques for Biomechanical and Mechanobiological Processes: From Phase Field Models to Secondary Bone Fracture Healing

S. Joerres, R. Krause, J, Steiner

In this talk, we discuss the role of efficient solution techniques for the simulation of biomechanical and mechanobiological processes. First, a recently developed model for the modeling of secondary bone fracture healing is presented. This model is based on the coupling of a phase-filed equation, i.e. Allen-Cahn, with elasticity. We discuss the derivation of this model, its properties and give numerical results illustrating its behaviour. For the numerical simulations, special multilevel methods have been developed, which will be discussed in the second part of the talk. As it turns out,  methods of this type can also be used for the efficient solution of large problems in biomechanics, thus opening new perspectives for the computationally demanding simulation of complex processes.

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Last modified: August 9, 2009, by Fred Vermolen