A Bayesian extension to FEMU for identification of spatially varying stochastic elastic properties from digital image and volume correlation measurements.

Pierre Kerfriden

Armand Touminet Sabine Cantournet Victor Fabre Pierre Kerfriden A Bayesian extension to FEMU for identification of spatially varying stochastic elastic properties from digital image and volume correlation measurements. 113946 2025 531 J. Comput. Phys. https://doi.org/10.1016/j.jcp.2025.113946 db/journals/jcphy/jcphy531.html#TouminetCFK25 streams/journals/jcphy

Anne Poot Iuri Rocha Pierre Kerfriden Frans van der Meer Effects of Interpolation Error and Bias on the Random Mesh Finite Element Method for Inverse Problems. 2025 April abs/2504.03393 CoRR https://doi.org/10.48550/arXiv.2504.03393 db/journals/corr/corr2504.html#abs-2504-03393 streams/journals/corr

Anne Poot Iuri Rocha Pierre Kerfriden Frans van der Meer The Bayesian Finite Element Method in Inverse Problems: a Critical Comparison between Probabilistic Models for Discretization Error. 2025 June abs/2506.02815 CoRR https://doi.org/10.48550/arXiv.2506.02815 db/journals/corr/corr2506.html#abs-2506-02815 streams/journals/corr

Amina El Bachari Johann Rannou Vladislav A. Yastrebov Pierre Kerfriden Susanne Claus A predictor-corrector scheme for approximating signed distances using finite element methods. 2025 June abs/2506.17830 CoRR https://doi.org/10.48550/arXiv.2506.17830 db/journals/corr/corr2506.html#abs-2506-17830 streams/journals/corr

Anne Poot Pierre Kerfriden Iuri Rocha Frans Paul van der Meer A Bayesian approach to modeling finite element discretization error. 167 2024 October 34 Stat. Comput. 5 https://doi.org/10.1007/s11222-024-10463-z db/journals/sac/sac34.html#PootKRM24 streams/journals/sac

Abhishek Palchoudhary Simone Peter Vincent Maurel Cristian Ovalle Pierre Kerfriden A plastic correction algorithm for full-field elasto-plastic finite element simulations : critical assessment of predictive capabilities and improvement by machine learning. 2024 abs/2402.06313 CoRR https://doi.org/10.48550/arXiv.2402.06313 db/journals/corr/corr2402.html#abs-2402-06313

Abhishek Palchoudhary Cristian Ovalle Vincent Maurel Pierre Kerfriden A multi-scale probabilistic methodology to predict high-cycle fatigue lifetime for alloys with process-induced pores. 2024 abs/2409.16565 CoRR https://doi.org/10.48550/arXiv.2409.16565 db/journals/corr/corr2409.html#abs-2409-16565 streams/journals/corr

Evan John Ricketts Peter John Cleall Tony Jefferson Pierre Kerfriden Paul Lyons Near-boundary error reduction with an optimized weighted Dirichlet-Neumann boundary condition for stochastic PDE-based Gaussian random field generators. 3821-3833 2023 December 39 Eng. Comput. 6 https://doi.org/10.1007/s00366-023-01819-6 db/journals/ewc/ewc39.html#RickettsCJKL23

Antoine Perney Stéphane P. A. Bordas Pierre Kerfriden NURBS-based surface generation from 3D images: spectral construction and data-driven model selection. 1856-1867 2023 July 10 J. Comput. Des. Eng. 4 https://doi.org/10.1093/jcde/qwad082 db/journals/jcde/jcde10.html#PerneyBK23

Iuri B. C. M. Rocha Pierre Kerfriden F. P. van der Meer 0001 Machine learning of evolving physics-based material models for multiscale solid mechanics. 2023 abs/2301.13547 CoRR https://doi.org/10.48550/arXiv.2301.13547 db/journals/corr/corr2301.html#abs-2301-13547

Anne Poot Pierre Kerfriden Iuri Rocha rans Paul van der Meer A Bayesian Approach to Modeling Finite Element Discretization Error. 2023 abs/2306.05993 CoRR https://doi.org/10.48550/arXiv.2306.05993 db/journals/corr/corr2306.html#abs-2306-05993

Ehsan Mikaeili Susanne Claus Pierre Kerfriden A novel hierarchical multiresolution framework using CutFEM. 2022 abs/2201.04698 CoRR https://arxiv.org/abs/2201.04698 db/journals/corr/corr2201.html#abs-2201-04698

Vasilis Krokos Stéphane P. A. Bordas Pierre Kerfriden A Graph-based probabilistic geometric deep learning framework with online physics-based corrections to predict the criticality of defects in porous materials. 2022 abs/2205.06562 CoRR https://doi.org/10.48550/arXiv.2205.06562 db/journals/corr/corr2205.html#abs-2205-06562

Marina A. Maia Iuri B. C. M. Rocha Pierre Kerfriden F. P. van der Meer 0001 Physically recurrent neural networks for path-dependent heterogeneous materials: embedding constitutive models in a data-driven surrogate. 2022 abs/2209.07320 CoRR https://doi.org/10.48550/arXiv.2209.07320 db/journals/corr/corr2209.html#abs-2209-07320

Matthew S. Bonney Richard Evans James Rouse Arthur Jones Pierre Kerfriden Maxime Hamadi Goal oriented error estimation in multi-scale shell element finite element problems. 3 2021 8 Adv. Model. Simul. Eng. Sci. 1 https://doi.org/10.1186/s40323-021-00189-2 db/journals/amses/amses8.html#BonneyERJKH21

Susanne Claus Pierre Kerfriden Faezeh Moshfeghifar Sune Darkner Kenny Erleben Christian Wong Contact modeling from images using cut finite element solvers. 13 2021 8 Adv. Model. Simul. Eng. Sci. 1 https://doi.org/10.1186/s40323-021-00197-2 db/journals/amses/amses8.html#ClausKMDEW21

Iuri B. C. M. Rocha Pierre Kerfriden F. P. van der Meer 0001 On-the-fly construction of surrogate constitutive models for concurrent multiscale mechanical analysis through probabilistic machine learning. 100083 2021 9 J. Comput. Phys. X https://doi.org/10.1016/j.jcpx.2020.100083 db/journals/jcphyx/jcphyx9.html#RochaKM21

Aurèle Goetz Ali Riza Durmaz Martin Müller Akhil Thomas Dominik Britz Pierre Kerfriden Chris Eberl Addressing materials' microstructure diversity using transfer learning. 2021 abs/2107.13841 CoRR https://arxiv.org/abs/2107.13841 db/journals/corr/corr2107.html#abs-2107-13841

Ehsan Mikaeili Susanne Claus Pierre Kerfriden A mixed concurrent multiscale method via CutFEM technology. 2021 abs/2111.03199 CoRR https://arxiv.org/abs/2111.03199 db/journals/corr/corr2111.html#abs-2111-03199

Pierre Kerfriden Susanne Claus Iulia Mihai A mixed-dimensional CutFEM methodology for the simulation of fibre-reinforced composites. 18 2020 7 Adv. Model. Simul. Eng. Sci. 1 https://doi.org/10.1186/s40323-020-00154-5 db/journals/amses/amses7.html#KerfridenCM20

Anthony Surleraux Romain Lepert Jean-Philippe Pernot Pierre Kerfriden Samuel Bigot Machine Learning-Based Reverse Modeling Approach for Rapid Tool Shape Optimization in Die-Sinking Micro Electro Discharge Machining. 2020 20 J. Comput. Inf. Sci. Eng. 3 https://doi.org/10.1115/1.4045956 db/journals/jcise/jcise20.html#SurlerauxLPKB20

Chao Liu 0031 Léopold Le Roux Ze Ji Pierre Kerfriden Franck Lacan Samuel Bigot Machine Learning-enabled feedback loops for metal powder bed fusion additive manufacturing. 2586-2595 2020 KES https://doi.org/10.1016/j.procs.2020.09.314 conf/kes/2020 db/conf/kes/kes2020.html#LiuRJKLB20

Iuri B. C. M. Rocha Pierre Kerfriden F. P. van der Meer 0001 On-the-fly construction of surrogate constitutive models for concurrent multiscale mechanical analysis through probabilistic machine learning. 2020 abs/2007.07749 CoRR https://arxiv.org/abs/2007.07749 db/journals/corr/corr2007.html#abs-2007-07749

Vasilis Krokos Viet Bui Xuan Stéphane P. A. Bordas Philippe Young Pierre Kerfriden Bayesian Convolutional Neural Networks as probabilistic surrogates for the fast prediction of stress fields in structures with microscale features. 2020 abs/2012.11330 CoRR https://arxiv.org/abs/2012.11330 db/journals/corr/corr2012.html#abs-2012-11330

Navid Rahimi Pierre Kerfriden Frank C. Langbein Ralph R. Martin CAD Model Simplification Error Estimation for Electrostatics Problems. 2018 40 SIAM J. Sci. Comput. 1 https://doi.org/10.1137/16M1078641 db/journals/siamsc/siamsc40.html#RahimiKLM18

Susanne Claus Samuel Bigot Pierre Kerfriden CutFEM Method for Stefan-Signorini Problems with Application in Pulsed Laser Ablation. B1444-B1469 2018 40 SIAM J. Sci. Comput. 5 https://doi.org/10.1137/18M1185697 https://www.wikidata.org/entity/Q129044221 db/journals/siamsc/siamsc40.html#ClausBK18

Susanne Claus Pierre Kerfriden A CutFEM method for two-phase flow problems. 2018 abs/1806.10156 CoRR http://arxiv.org/abs/1806.10156 db/journals/corr/corr1806.html#abs-1806-10156

Susanne Claus Pierre Kerfriden A stable and optimally convergent LaTIn-Cut Finite Element Method for multiple unilateral contact problems. 2017 abs/1704.01977 CoRR http://arxiv.org/abs/1704.01977 db/journals/corr/corr1704.html#ClausK17

Vinh Phu Nguyen Pierre Kerfriden Stéphane P. A. Bordas Timon Rabczuk Isogeometric analysis suitable trivariate NURBS representation of composite panels with a new offset algorithm. 49-63 2014 55 Comput. Aided Des. https://doi.org/10.1016/j.cad.2014.05.004 db/journals/cad/cad55.html#NguyenKBR14

Hadrien Courtecuisse Jérémie Allard Pierre Kerfriden Stéphane P. A. Bordas Stephane Cotin Christian Duriez Real-time simulation of contact and cutting of heterogeneous soft-tissues. 394-410 2014 18 Medical Image Anal. 2 https://doi.org/10.1016/j.media.2013.11.001 https://www.wikidata.org/entity/Q51122069 db/journals/mia/mia18.html#CourtecuisseAKBCD14

Pierre Kerfriden Juan José Ródenas García Stéphane Pierre-Alain Bordas Certification of projection-based reduced order modelling in computational homogenisation by the Constitutive Relation Error http://arxiv.org/abs/1301.6330 2013 CoRR abs/1301.6330 db/journals/corr/corr1301.html#abs-1301-6330

Olivier Allix Pierre Gosselet Pierre Kerfriden Karin Saavedra Virtual Delamination Testing through Non-Linear Multi-Scale Computational Methods: Some Recent Progress http://arxiv.org/abs/1304.6996 2013 CoRR abs/1304.6996 db/journals/corr/corr1304.html#abs-1304-6996

Vinh Phu Nguyen Pierre Kerfriden Stéphane P. A. Bordas Isogeometric cohesive elements for two and three dimensional composite delamination analysis http://arxiv.org/abs/1305.2738 2013 CoRR abs/1305.2738 db/journals/corr/corr1305.html#abs-1305-2738

Octavio Andrés González-Estrada Juan José Ródenas García Stéphane P. A. Bordas Enrique Nadal Pierre Kerfriden Francisco Javier Fuenmayor Fernández Locally equilibrated stress recovery for goal oriented error estimation in the extended finite element method. 2013 CoRR http://arxiv.org/abs/1308.1941 abs/1308.1941 db/journals/corr/corr1308.html#Gonzalez-EstradaGBNKF13

Olivier Allix Pierre Kerfriden Pierre Gosselet On the control of the load increments for a proper description of multiple delamination in a domain decomposition framework http://arxiv.org/abs/1109.5913 2011 CoRR abs/1109.5913 db/journals/corr/corr1109.html#abs-1109-5913

Octavio A. González-Estrada Juan José Ródenas Stéphane P. A. Bordas Marc Duflot Pierre Kerfriden Eugenio Giner On the role of enrichment and statical admissibility of recovered fields in a-posteriori error estimation for enriched finite element methods. http://arxiv.org/abs/1112.2160 2011 CoRR abs/1112.2160 db/journals/corr/corr1112.html#abs-1112-2160

Jérémie Allard Olivier Allix Amina El Bachari Samuel Bigot Matthew S. Bonney Stéphane P. A. BordasStéphane Pierre-Alain Bordas Dominik Britz Sabine Cantournet Susanne Claus Peter John Cleall Stephane Cotin Hadrien Courtecuisse Sune Darkner Marc Duflot Christian Duriez Ali Riza Durmaz Chris Eberl Kenny Erleben Richard Evans Victor Fabre Francisco Javier Fuenmayor Fernández Eugenio Giner Aurèle Goetz Octavio A. González-EstradaOctavio Andrés González-Estrada Pierre Gosselet Maxime Hamadi Tony Jefferson Ze Ji Arthur Jones Vasilis Krokos Franck Lacan Frank C. Langbein Romain Lepert Chao Liu 0031 Paul Lyons Marina A. Maia Ralph R. Martin Vincent Maurel F. P. van der Meer 0001Frans Paul van der MeerFrans van der Meer rans Paul van der Meer Iulia Mihai Ehsan Mikaeili Faezeh Moshfeghifar Martin Müller Enrique Nadal Vinh Phu Nguyen Cristian Ovalle Abhishek Palchoudhary Antoine Perney Jean-Philippe Pernot Simone Peter Anne Poot Timon Rabczuk Navid Rahimi Johann Rannou Evan John Ricketts Iuri B. C. M. RochaIuri Rocha Juan José RódenasJuan José Ródenas García James Rouse Léopold Le Roux Karin Saavedra Anthony Surleraux Akhil Thomas Armand Touminet Christian Wong Viet Bui Xuan Vladislav A. Yastrebov Philippe Young