https://arxiv.org/submit/1687902
Title: Real-time error controlled adaptive mesh refinement: Application to
needle insertion simulation
Authors: Huu Phuoc Bui (1 and 2), Satyendra Tomar (2), R\’emi Bessard-Duparc
(3), Hadrien Courtecuisse (1), St\’ephane Cotin (3), St\’ephane Bordas (2 and
4) ((1) University of Strasbourg, CNRS, ICube, Strasbourg, France, (2)
University of Luxembourg, Luxembourg, (3) Inria Nancy Grand Est,
Villers-les-Nancy, France, (4) Cardiff University, Wales, UK)
Categories: cs.NA
Comments: 20 pages, 15 figures
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
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This paper presents the first real-time discretization-error-driven adaptive
finite element approach for corotational elasticity problems involving strain
localization. We propose a hexahedron-based finite element method, combined
with a posteriori error estimation driven local h-refinement, for simulating
soft tissue deformation. This enables to control the local error and global
error level in the mechanical fields (e.g. displacement or gradient) 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.
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