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.NA2026
A penalized Ï-FEM scheme for the Poisson Dirichlet problem
Raphaël Bulle, Michel Duprez, Vanessa Lleras +1
In this work, we analyze a penalized variant of the Ï-FEM scheme for the Poisson equation with Dirichlet boundary conditions. The Ï-FEM is a recently introduced unfitted finite e…
math.NA2026
An adaptive multimesh rational approximation scheme for the spectral fractional Laplacian
Alex Bespalov, Raphaël Bulle
We propose a novel multimesh rational approximation scheme for the numerical solution of the (homogeneous) Dirichlet problem for the spectral fractional Laplacian. The scheme combi…