output
20162022
most citedReal-time Error Control for Surgical Simulation

64 citations

6 papers

math.OC2022

Modeling the impact of rainfall and temperature on sterile insect control strategies in a Tropical environment

Yves Dumont, Michel Duprez

The sterile insect technique (SIT) is a biological control technique that can be used either to eliminate or decay a wild mosquito population under a given threshold to reduce the…

math.AP2020★ 2 cited

Optimization of spatial control strategies for population replacement, application to Wolbachia

Michel Duprez, Romane Hélie, Yannick Privat +1

In this article, we are interested in the analysis and simulation of solutions to an optimal control problem motivated by population dynamics issues. In order to control the spread…

math.AP2020

Optimal control strategies for the sterile mosquitoes technique

Luís Almeida, Michel Duprez, Yannick Privat +1

Mosquitoes are responsible for the transmission of many diseases such as dengue fever, zika or chigungunya. One way to control the spread of these diseases is to use the sterile in…

math.NA2020

A new -FEM approach for problems with natural boundary conditions

Michel Duprez, Vanessa Lleras, Alexei Lozinski

We present a new finite element method, called -FEM, to solve numerically elliptic partial differential equations with natural (Neumann or Robin) boundary conditions using simpl…

cs.CE2018★ 54 cited

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…

math.NA2016★ 64 cited

Real-time Error Control for Surgical Simulation

Huu Phuoc Bui, Satyendra Tomar, Hadrien Courtecuisse +2

Objective: To present the first real-time a posteriori error-driven adaptive finite element approach for real-time simulation and to demonstrate the method on a needle insertion pr…