3 papers
math.NA2026
A multigrid and neural network approach to reduce the computational cost of phi-FEM
Raphaël Bulle, Michel Duprez, Vanessa Lleras +1
In this work, we present a combination of a multigrid approach and the phi-FEM immersed boundary finite element method to reduce its computational cost while preserving its accurac…
math.NA2025
Dual Weighted Residual-driven adaptive mesh refinement to enhance biomechanical simulations
Roland Becker, Franz Chouly, Michel Duprez +3
This chapter describes how a posteriori error estimates targeting a user-defined quantity of interest, using the Dual Weighted Residual (DWR) technique, can be easily applied for b…
math.NA2024
Enhancing Biomechanical Simulations Based on A Posteriori Error Estimates: The Potential of Dual Weighted Residual-Driven Adaptive Mesh Refinement
Huu Phuoc Bui, Michel Duprez, Pierre-Yves Rohan +4
The Finite Element Method (FEM) is a well-established procedure for computing approximate solutions to deterministic engineering problems described by partial differential equation…