Finite element method; real-time error estimate; adaptive refinement; constraint-based interaction
Abstract :
[en] This paper presents the first real-time discretisation-error-driven adaptive finite element approach for corotational elasticity problems involving strain localisation. We propose a hexahedron-based finite element method combined with local oct-tree $h$-refinement, driven by a posteriori error estimation, for simulating soft tissue deformation. This enables to control the local error and global error level in the mechanical fields during the simulation. The local error level is used to refine the mesh only where it is needed, while maintaining a coarser mesh elsewhere. We investigate the convergence of the algorithm on academic examples, and demonstrate its practical usability on a percutaneous procedure involving needle insertion in a liver. For the latter case, we compare the force displacement curves obtained from the proposed adaptive algorithm with that obtained from a uniform refinement approach.
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
Bui, Huu Phuoc; University of Strasbourg, CNRS, ICube, F-67000 Strasbourg, France
Tomar, Satyendra ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit
Courtecuisse, Hadrien; University of Strasbourg, CNRS, ICube, F-67000 Strasbourg, France
Cotin, Stephane; Inria Nancy Grand Est, 54603 Villers-les-Nancy, France
Bordas, Stéphane ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit
External co-authors :
yes
Language :
English
Title :
Real-time error controlled adaptive mesh refinement in surgical simulation: Application to needle insertion simulation
FP7 - 279578 - REALTCUT - Towards real time multiscale simulation of cutting in non-linear materials with applications to surgical simulation and computer guided surgery
Funders :
University of Strasbourg, Institute for Advanced Study (BPC 14/Arc 10138) RASimAs (FP7 ICT-2013.5.2 No610425) ERC-StG RealTCut CE - Commission Européenne [BE]