OBJECTIVE: To present the first a posteriori error-driven adaptive finite element approach for real-time simulation, and to demonstrate the method on a needle insertion problem. METHODS: We use corotational elasticity and a frictional needle/tissue interaction model. The problem is solved using finite elements within SOFA.1 For simulating soft tissue deformation, the refinement strategy relies upon a hexahedron-based finite element method, combined with a posteriori error estimation driven local -refinement. RESULTS: We control the local and global error level in the mechanical fields (e.g., displacement or stresses) during the simulation. We show 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. CONCLUSIONS: Error control guarantees that a tolerable error level is not exceeded during the simulations. Local mesh refinement accelerates simulations. SIGNIFICANCE: Our work provides a first step to discriminate between discretization error and modeling error by providing a robust quantification of discretization error during simulations.
OBJECTIVE: To present the first a posteriori error-driven adaptive finite element approach for real-time simulation, and to demonstrate the method on a needle insertion problem. METHODS: We use corotational elasticity and a frictional needle/tissue interaction model. The problem is solved using finite elements within SOFA.1 For simulating soft tissue deformation, the refinement strategy relies upon a hexahedron-based finite element method, combined with a posteriori error estimation driven local -refinement. RESULTS: We control the local and global error level in the mechanical fields (e.g., displacement or stresses) during the simulation. We show 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. CONCLUSIONS: Error control guarantees that a tolerable error level is not exceeded during the simulations. Local mesh refinement accelerates simulations. SIGNIFICANCE: Our work provides a first step to discriminate between discretization error and modeling error by providing a robust quantification of discretization error during simulations.
Authors: Patricia Alcañiz; César Vivo de Catarina; Alessandro Gutiérrez; Jesús Pérez; Carlos Illana; Beatriz Pinar; Miguel A Otaduy Journal: Front Bioeng Biotechnol Date: 2022-09-28
Authors: Michele Terzano; Daniele Dini; Ferdinando Rodriguez Y Baena; Andrea Spagnoli; Matthew Oldfield Journal: Biomech Model Mechanobiol Date: 2020-03-09