D-PANA: a convergent block-relaxation solution method for the discretized dual formulation of the Signorini–Coulomb contact problem†

2001 ◽  
Vol 333 (11) ◽  
pp. 1053-1058 ◽  
Author(s):  
Paolo Bisegna ◽  
Frédéric Lebon ◽  
Franco Maceri
Keyword(s):  
Contact Problem ◽  
Solution Method ◽  
Dual Formulation ◽  
Relaxation Solution ◽  
Block Relaxation

scholarly journals Realistic And Efficient Brain-Skull Interaction Model For Brain Shift Computation

2008 ◽  
Author(s):  
Grand roman Joldes ◽  
Adam Wittek ◽  
Karol Miller ◽  
Leith Morriss
Keyword(s):  
Degrees Of Freedom ◽  
Solution Method ◽  
Large Deformations ◽  
Interaction Model ◽  
Brain Shift ◽  
Dynamic Relaxation ◽  
Contact Algorithm ◽  
Biomechanical Models ◽  
Relaxation Solution ◽  
The Brain

In this paper we propose the usage of a very efficient contact implementation for modeling the brain-skull interaction. This contact algorithm is specially design for our Dynamic Relaxation solution method for solving soft-tissue registration problems. It makes possible the use of complex biomechanical models which include different nonlin-ear materials, large deformations and contacts for image registration. The computational examples prove the accuracy and the computational efficiency of our methods. For a model having more than 50000 degrees of freedom, a complete simulation can be done in less than a minute.

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