Implementation of an a posteriori error indicator for non-linear problems in soft-tissue biomechanics

Pierre-Yves Rohan (1) , Mohammad Ali Nazari (2) , Claudio Lobos (3) , Pascal Perrier (4) , Yohan Payan (5)

1 Arts et Métiers ParisTech
2 University of Tehran
3 Computer Science Department
4 GIPSA-MAGIC - GIPSA - Machines parlantes, Gestes oro-faciaux, Interaction Face-à-face, Communication augmentée
5 TIMC-IMAG-GMCAO - Gestes Medico-chirurgicaux Assistés par Ordinateur

Error estimators for Finite Element (FE) solutions are well developed for linear problems. They are very useful for determining the accuracy and the reliability of numerical solutions. For non-linear problems however, often encountered in soft-tissue biomechanics, very few investigations have been made and this issue is an ongoing subject of research. In this contribution, we focus on the implementation of a recovery-based error indicator developed by for linear problems. Our motivation is to extend this technique for non-linear problems.

Mots clés: Finite Element Modeling; Error estimators; Biomechanics

Domaines: Biomécanique [physics.med-ph]; Modélisation et simulation

Pierre-Yves Rohan, Mohammad Ali Nazari, Claudio Lobos, Pascal Perrier, Yohan Payan. Implementation of an a posteriori error indicator for non-linear problems in soft-tissue biomechanics. 12th International Symposium on Computer Methods in Biomechanics and Biomedical Engineering, Biomedical Engineering Department of Eindhoven University of Technology, Oct 2014, Amsterdam, Netherlands. pp.5-6. ⟨hal-01205719v1⟩