64 citations · 278 across the 10 of their papers we have counts for
11 papers
Taylor-series expansion based numerical methods: a primer, performance benchmarking and new approaches for problems with non-smooth solutions
Thibault Jacquemin, Satyendra Tomar, Konstantinos Agathos +2
We provide a primer to numerical methods based on Taylor series expansions such as generalized finite difference methods and collocation methods. We provide a detailed benchmarking…
Quantifying discretization errors for soft-tissue simulation in computer assisted surgery: a preliminary study
Michel Duprez, Stéphane P. A. Bordas, Marek Bucki +7
Errors in biomechanics simulations arise from modeling and discretization. Modeling errors are due to the choice of the mathematical model whilst discretization errors measure the…
Isogeometric analysis with local adaptivity based on a posterior error estimation for elastodynamics
Peng Yu, Cosmin Anitescu, Satyendra Tomar +2
This paper presents a novel methodology of local adaptivity for the frequency-domain analysis of the vibrations of Reissner-Mindlin plates. The adaptive discretization is based on…
Corotational Cut Finite Element Method for real-time surgical simulation: application to needle insertion simulation
Huu Phuoc Bui, Satyendra Tomar, Stéphane P. A. Bordas
This paper describes the use of the corotational cut Finite Element Method (FEM) for real-time surgical simulation. Users only need to provide a background mesh which is not necess…
Weakening the tight coupling between geometry and simulation in isogeometric analysis: from sub- and super- geometric analysis to Geometry Independent Field approximaTion (GIFT)
Elena Atroshchenko, Gang Xu, Satyendra Tomar +1
This paper presents an approach to generalize the concept of isogeometric analysis (IGA) by allowing different spaces for parameterization of the computational domain and for appro…
Controlling the Error on Target Motion through Real-time Mesh Adaptation: Applications to Deep Brain Stimulation
Huu Phuoc Bui, Satyendra Tomar, Hadrien Courtecuisse +3
We present an error-controlled mesh refinement procedure for needle insertion simulation and apply it to the simulation of electrode implantation for deep brain stimulation, includ…