6 papers
A predictor-corrector scheme for approximating signed distances using finite element methods
Amina El Bachari, Johann Rannou, Vladislav A. Yastrebov +2
In this article, we introduce a finite element method designed for the robust computation of approximate signed distance functions to arbitrary boundaries in two and three dimensio…
The Bayesian Finite Element Method in Inverse Problems: a Critical Comparison between Probabilistic Models for Discretization Error
Anne Poot, Iuri Rocha, Pierre Kerfriden +1
When using the finite element method (FEM) in inverse problems, its discretization error can produce parameter estimates that are inaccurate and overconfident. The Bayesian finite…
Effects of Interpolation Error and Bias on the Random Mesh Finite Element Method for Inverse Problems
Anne Poot, Iuri Rocha, Pierre Kerfriden +1
Bayesian inverse problems are an important application for probabilistic solvers of partial differential equations: when fully resolving numerical error is computationally infeasib…
A multi-scale probabilistic methodology to predict high-cycle fatigue lifetime for alloys with process-induced pores
Abhishek Palchoudhary, Cristian Ovalle, Vincent Maurel +1
A multi-scale methodology is developed in conjunction with a probabilistic fatigue lifetime model for structures with pores whose exact distribution, i.e. geometries and locations,…
A plastic correction algorithm for full-field elasto-plastic finite element simulations : critical assessment of predictive capabilities and improvement by machine learning
Abhishek Palchoudhary, Simone Peter, Vincent Maurel +2
This paper introduces a new local plastic correction algorithm that is aimed at accelerating elasto-plastic finite element (FE) simulations for structural problems exhibiting local…
A CutFEM method for Stefan-Signorini problems with application in pulsed laser ablation
Susanne Claus, Samuel Bigot, Pierre Kerfriden
In this article, we develop a cut finite element method for one-phase Stefan problems, with applications in laser manufacturing. The geometry of the workpiece is represented implic…