Mechanical Failure in Microstructural Heterogeneous Materials. - Stéphane P. A. Bordas; Ronald H. W. Hoppe; Svetozara Petrova (Numerical Methods and Applications, 2006)

A simulation-based design paradigm for complex cast components. - Stéphane P. A. Bordas; James G. Conley; Brian Moran; Joe Gray; Ed Nichols (Eng. Comput., 2007)

Meshless methods: A review and computer implementation aspects. - Vinh Phu Nguyen; Timon Rabczuk; Stéphane P. A. Bordas; Marc Duflot (Math. Comput. Simul., 2008)

An alternative alpha finite element method (AαFEM) for free and forced structural vibration using triangular meshes. - Nhon Nguyen-Thanh; Timon Rabczuk; Hung Nguyen-Xuan 001; Stéphane P. A. Bordas (J. Comput. Appl. Math., 2010)

On the approximation in the smoothed finite element method (SFEM) - Stéphane P. A. Bordas; Sundararajan Natarajan (CoRR, 2011)

On the role of enrichment and statical admissibility of recovered fields in a-posteriori error estimation for enriched finite element methods. - Octavio A. González-Estrada; Juan José Ródenas; Stéphane P. A. Bordas; Marc Duflot; Pierre Kerfriden; Eugenio Giner (CoRR, 2011)

Efficient recovery-based error estimation for the smoothed finite element method for smooth and singular linear elasticity - Octavio A. González-Estrada; Sundararajan Natarajan; Juan José Ródenas; Hung Nguyen-Xuan 001; Stéphane P. A. Bordas (CoRR, 2012)

Isogeometric analysis: an overview and computer implementation aspects. - Vinh Phu Nguyen; Robert N. Simpson; Stéphane P. A. Bordas; Timon Rabczuk (CoRR, 2012)

Locally equilibrated superconvergent patch recovery for efficient error estimation in quantities of interest - Octavio A. González-Estrada; Juan José Ródenas; Stéphane Pierre-Alain Bordas; Enrique Nadal; Francisco Javier Fuenmayor Fernández (CoRR, 2012)

Locally equilibrated stress recovery for goal oriented error estimation in the extended finite element method. - Octavio Andrés González-Estrada; Juan José Ródenas García; Stéphane P. A. Bordas; Enrique Nadal; Pierre Kerfriden; Francisco Javier Fuenmayor Fernández (CoRR, 2013)

Isogeometric finite element analysis of functionally graded plates using a refined plate theory. - Hung Nguyen-Xuan 001; Loc V. Tran; Chien H. Thai; S. Kulasegaram; Stéphane P. A. Bordas (CoRR, 2013)

Certification of projection-based reduced order modelling in computational homogenisation by the Constitutive Relation Error - Pierre Kerfriden; Juan José Ródenas García; Stéphane Pierre-Alain Bordas (CoRR, 2013)

Isogeometric cohesive elements for two and three dimensional composite delamination analysis - Vinh Phu Nguyen; Pierre Kerfriden; Stéphane P. A. Bordas (CoRR, 2013)

Isogeometric analysis suitable trivariate NURBS representation of composite panels with a new offset algorithm. - Vinh Phu Nguyen; Pierre Kerfriden; Stéphane P. A. Bordas; Timon Rabczuk (Comput. Aided Des., 2014)

Real-time simulation of contact and cutting of heterogeneous soft-tissues. - Hadrien Courtecuisse; Jérémie Allard; Pierre Kerfriden; Stéphane P. A. Bordas; Stephane Cotin; Christian Duriez (Medical Image Anal., 2014)

Isogeometric analysis: An overview and computer implementation aspects. - Vinh Phu Nguyen; Cosmin Anitescu; Stéphane P. A. Bordas; Timon Rabczuk (Math. Comput. Simul., 2015)

A Staggered Cell-Centered Finite Element Method for Compressible and Nearly-Incompressible Linear Elasticity on General Meshes. - Thanh Hai Ong; Thi Thao Phuong Hoang; Stéphane P. A. Bordas; Hung Nguyen-Xuan 001 (SIAM J. Numer. Anal., 2015)

Real-time error controlled adaptive mesh refinement: Application to needle insertion simulation. - Huu Phuoc Bui; Satyendra Tomar; Rémi Bessard-Duparc; Hadrien Courtecuisse; Stéphane Cotin; Stéphane P. A. Bordas (CoRR, 2016)

Isogeometric finite element analysis of time-harmonic exterior acoustic scattering problems. - Tahsin Khajah; Xavier Antoine; Stéphane P. A. Bordas (CoRR, 2016)

Isogeometric analysis for functionally graded microplates based on modified couple stress theory. - Hoang X. Nguyen; Tuan N. Nguyen; Magd Abdel Wahab; Stéphane P. A. Bordas; Hung Nguyen-Xuan 001; Thuc P. Vo (CoRR, 2016)

Bayesian inference for the stochastic identification of elastoplastic material parameters: Introduction, misconceptions and additional insight. - Hussein Rappel; Lars A. A. Beex; Jack S. Hale; Stéphane P. A. Bordas (CoRR, 2016)

Programming the material point method in Julia. - Sina Sinaie; Vinh Phu Nguyen; Chi Thanh Nguyen; Stéphane P. A. Bordas (Adv. Eng. Softw., 2017)

Controlling the Error on Target Motion through Real-time Mesh Adaptation: Applications to Deep Brain Stimulation. - Huu Phuoc Bui; Satyendra Tomar; Hadrien Courtecuisse; Michel A. Audette; Stéphane Cotin; Stéphane P. A. Bordas (CoRR, 2017)

Constructing IGA-suitable planar parameterization from complex CAD boundary by domain partition and global/local optimization. - Gang Xu 001; Ming Li; Bernard Mourrain; Timon Rabczuk; Jinlan Xu; Stéphane P. A. Bordas (CoRR, 2017)

Isogeometric analysis of thin Reissner-Mindlin plates and shells: Locking phenomena and generalized local $ bar{B}$ method. - Qingyuan Hu; Yang Xia; Sundararajan Natarajan; Andreas Zilian; Ping Hu; Stéphane P. A. Bordas (CoRR, 2017)

Corotational Cut Finite Element Method for real-time surgical simulation: application to needle insertion simulation. - Huu Phuoc Bui; Satyendra Tomar; Stéphane P. A. Bordas (CoRR, 2017)

Quantifying discretization errors for soft-tissue simulation in computer assisted surgery: a preliminary study. - Michel Duprez; Stéphane P. A. Bordas; Marek Bucki; Huu Phuoc Bui; Franz Chouly; Vanessa Lleras; Claudio Lobos; Alexei Lozinski; Pierre-Yves Rohan; Satyendra Tomar (CoRR, 2018)

Mathematical Modelling and Artificial Intelligence in Luxembourg: Twenty PhD Students to be Trained in Data-Driven Modelling. - Stéphane P. A. Bordas; Sundararajan Natarajan; Andreas Zilian (ERCIM News, 2018)

What makes Data Science different? A discussion involving Statistics2.0 and Computational Sciences. - Christophe Ley; Stéphane P. A. Bordas (Int. J. Data Sci. Anal., 2018)

Real-Time Error Control for Surgical Simulation. - Huu Phuoc Bui; Satyendra Tomar; Hadrien Courtecuisse; Stephane Cotin; Stéphane P. A. Bordas (IEEE Trans. Biomed. Eng., 2018)

Deep neural network with high-order neuron for the prediction of foamed concrete strength. - Tuan Nguyen; Alireza Kashani; Tuan N. Nguyen; Stéphane P. A. Bordas (Comput. Aided Civ. Infrastructure Eng., 2019)

Classification of states and model order reduction of large scale Chemical Vapor Deposition processes with solution multiplicity. - E. D. Koronaki; Pavlos A. Gkinis; Lars A. A. Beex; Stéphane P. A. Bordas; Constantinos Theodoropoulos; Andreas G. Boudouvis (Comput. Chem. Eng., 2019)

h- and p-adaptivity driven by recovery and residual-based error estimators for PHT-splines applied to time-harmonic acoustics. - Javier Videla; Cosmin Anitescu; Tahsin Khajah; Stéphane P. A. Bordas; Elena Atroshchenko (Comput. Math. Appl., 2019)

An implicit boundary approach for viscous compressible high Reynolds flows using a hybrid remeshed particle hydrodynamics method. - Anas Obeidat; Stéphane P. A. Bordas (J. Comput. Phys., 2019)

Autonomous model-based assessment of mechanical failures of reconfigurable modular robots with a Conjugate Gradient solver. - Pawel Holobut; Stéphane P. A. Bordas; Jakub Lengiewicz (IROS, 2020)

Seamless integration of computer-aided geometric modeling and acoustic simulation: Isogeometric boundary element methods based on Catmull-Clark subdivision surfaces. - L. L. Chen; Yongjie Jessica Zhang; Haojie Lian; Elena Atroshchenko; Chensen Ding; Stéphane P. A. Bordas (Adv. Eng. Softw., 2020)

An nth high order perturbation-based stochastic isogeometric method and implementation for quantifying geometric uncertainty in shell structures. - Chensen Ding; Kumar K. Tamma; Xiangyang Cui; Yanjun Ding; Guangyao Li; Stéphane P. A. Bordas (Adv. Eng. Softw., 2020)

Isogeometric shape optimization of an acoustic horn using the teaching-learning-based optimization (TLBO) algorithm. - Vinay K. Ummidivarapu; Hari K. Voruganti; Tahsin Khajah; Stéphane Pierre-Alain Bordas (Comput. Aided Geom. Des., 2020)

Taylor-series expansion based numerical methods: a primer, performance benchmarking and new approaches for problems with non-smooth solutions. - Thibault Jacquemin; Satyendra Tomar; Konstantinos Agathos; Shoya Mohseni-Mofidi; Stéphane P. A. Bordas (CoRR, 2020)

Bayesian Convolutional Neural Networks as probabilistic surrogates for the fast prediction of stress fields in structures with microscale features. - Vasilis Krokos; Viet Bui Xuan; Stéphane P. A. Bordas; Philippe Young; Pierre Kerfriden (CoRR, 2020)

A cut finite element method for spatially resolved energy metabolism models in complex neuro-cell morphologies with minimal remeshing. - Sofia Farina; Susanne Claus; Jack S. Hale; Alexander Skupin; Stéphane P. A. Bordas (Adv. Model. Simul. Eng. Sci., 2021)

Investigation of the chemical vapor deposition of Cu from copper amidinate through data driven efficient CFD modelling. - Rowan Spencer; Pavlos A. Gkinis; E. D. Koronaki; Dimitrios I. Gerogiorgis; Stéphane P. A. Bordas; Andreas G. Boudouvis (Comput. Chem. Eng., 2021)

Error estimation for the polygonal finite element method for smooth and singular linear elasticity. - Octavio A. González-Estrada; Sundararajan Natarajan; Juan José Ródenas; Stéphane P. A. Bordas (Comput. Math. Appl., 2021)

On the finite element analysis of functionally graded sandwich curved beams via a new refined higher shear deformation theory. - Mohamed-Ouejdi Belarbi; Mohammed Sid Ahmed Houari; Hicham Hirane; Ahmed Amine Daikh; Stéphane Pierre-Alain Bordas (CoRR, 2021)

A rigged model of the breast for preoperative surgical planning. - Arnaud Mazier; Sophie Ribes; Romain Testylier; Frédéric Van Meer; Benjamin Gilles; François Faure; Stéphane P. A. Bordas (CoRR, 2021)

Circumferential Crack Modeling of Thin Cylindrical Shells in Modal Deformation. - Ali Alijani; Olga Barrera; Stéphane P. A. Bordas (CoRR, 2021)

Machine learning in the social and health sciences. - Anja K. Leist; Matthias Klee; Jung Hyun Kim; David H. Rehkopf; Stéphane P. A. Bordas; Graciela Muniz-Terrera; Sara Wade (CoRR, 2021)

Neural-network acceleration of projection-based model-order-reduction for finite plasticity: Application to RVEs. - Soumianarayanan Vijayaraghavan; Ling Wu; Ludovic Noels; Stéphane P. A. Bordas; Sundar Natarajan; Lars A. A. Beex (CoRR, 2021)

FEM-based Real-Time Simulations of Large Deformations with Probabilistic Deep Learning. - Saurabh Deshpande; Jakub Lengiewicz; Stéphane P. A. Bordas (CoRR, 2021)

An adapted deflated conjugate gradient solver for robust extended/generalised finite element solutions of large scale, 3D crack propagation problems. - Konstantinos Agathos; Tim J. Dodwel; Eleni N. Chatzi; Stéphane P. A. Bordas (CoRR, 2021)

Distributed Prediction of Unsafe Reconfiguration Scenarios of Modular Robotic Programmable Matter. - Benoît Piranda; Pawel Chodkiewicz; Pawel Holobut; Stéphane P. A. Bordas; Julien Bourgeois; Jakub Lengiewicz (IEEE Trans. Robotics, 2021)

An a posteriori error estimator for the spectral fractional power of the Laplacian. - Raphaël Bulle; Olga Barrera; Stéphane P. A. Bordas; Franz Chouly; Jack S. Hale (CoRR, 2022)

A Graph-based probabilistic geometric deep learning framework with online physics-based corrections to predict the criticality of defects in porous materials. - Vasilis Krokos; Stéphane P. A. Bordas; Pierre Kerfriden (CoRR, 2022)

Design of metamaterial-based heat manipulators by isogeometric shape optimization. - Chintan Jansari; Stéphane P. A. Bordas; Elena Atroshchenko (CoRR, 2022)

Oncology and mechanics: landmark studies and promising clinical applications. - Stéphane Urcun; Guillermo Lorenzo; Davide Baroli; Pierre-Yves Rohan; Giuseppe Sciumè; Wafa Skalli; Vincent Lubrano; Stéphane P. A. Bordas (CoRR, 2022)

Convolution, aggregation and attention based deep neural networks for accelerating simulations in mechanics. - Saurabh Deshpande; Raúl I. Sosa; Stéphane P. A. Bordas; Jakub Lengiewicz (CoRR, 2022)

Inverse deformation analysis: an experimental and numerical assessment using the FEniCS Project. - Arnaud Mazier; Alexandre Bilger; Antonio Elia Forte; Igor Peterlík; Jack S. Hale; Stéphane P. A. Bordas (Eng. Comput., 2022)

Smart Cloud Collocation: Geometry-Aware Adaptivity Directly From CAD. - Thibault Jacquemin; Pratik Suchde; Stéphane P. A. Bordas (Comput. Aided Des., 2023)

Level set topology optimization of metamaterial-based heat manipulators using isogeometric analysis. - Chintan Jansari; Stéphane P. A. Bordas; Elena Atroshchenko (CoRR, 2023)

Breast simulation pipeline: from medical imaging to patient-specific simulations. - Arnaud Mazier; Stéphane P. A. Bordas (CoRR, 2023)

Volume and Mass Conservation in Lagrangian Meshfree Methods. - Pratik Suchde; Christian Leithäuser; Jörg Kuhnert; Stéphane P. A. Bordas (CoRR, 2023)

Mechanistic multiscale modelling of energy metabolism in human astrocytes reveals the impact of morphology changes in Alzheimer's Disease. - Sofia Farina; Valérie Voorsluijs; Sonja Fixemer; David S. Bouvier; Susanne Claus; Mark H. Ellisman; Stéphane P. A. Bordas; Alexander Skupin (PLoS Comput. Biol., 2023)

Hierarchical a posteriori error estimation of Bank-Weiser type in the FEniCS Project. - Raphaël Bulle; Jack S. Hale; Alexei Lozinski; Stéphane P. A. Bordas; Franz Chouly (Comput. Math. Appl., 2023)

NURBS-based surface generation from 3D images: spectral construction and data-driven model selection. - Antoine Perney; Stéphane P. A. Bordas; Pierre Kerfriden (J. Comput. Des. Eng., 2023)

Equation-based and data-driven modeling strategies for industrial coating processes. - Paris Papavasileiou; Eleni D. Koronaki; Gabriele Pozzetti; Martin Kathrein; Christoph Czettl; Andreas G. Boudouvis; Stéphane P. A. Bordas (Comput. Ind., 2023)

Isogeometric dual reciprocity BEM for solving time-domain acoustic wave problems. - Senlin Zhang; Bo Yu; Leilei Chen; Haojie Lian; Stéphane P. A. Bordas (Comput. Math. Appl., 2024)

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; Arnaud Lejeune; Stéphane P. A. Bordas; Marek Bucki; Franz Chouly (CoRR, 2024)

Quantum-informed simulations for mechanics of materials: DFTB+MBD framework. - Zhaoxiang Shen; Raúl I. Sosa; Stéphane P. A. Bordas; Alexandre Tkatchenko; Jakub Lengiewicz (CoRR, 2024)

Discovering deposition process regimes: leveraging unsupervised learning for process insights, surrogate modeling, and sensitivity analysis. - Geremy Loachamín Suntaxi; Paris Papavasileiou; Eleni D. Koronaki; Dimitrios G. Giovanis; Georgios Gakis; Ioannis G. Aviziotis; Martin Kathrein; Gabriele Pozzetti; Christoph Czettl; Stéphane P. A. Bordas; Andreas G. Boudouvis (CoRR, 2024)

Graph Representation Learning Strategies for Omics Data: A Case Study on Parkinson's Disease. - Elisa Gómez de Lope; Saurabh Deshpande; Ramón Viñas Torné 001; Pietro Liò; Enrico Glaab; Stéphane P. A. Bordas (CoRR, 2024)

A short perspective on a posteriori error control and adaptive discretizations. - Roland Becker; Stéphane P. A. Bordas; Franz Chouly; Pascal Omnes (CoRR, 2024)

Gaussian process regression + deep neural network autoencoder for probabilistic surrogate modeling in nonlinear mechanics of solids. - Saurabh Deshpande; Hussein Rappel; Mark Hobbs; Stéphane P. A. Bordas; Jakub Lengiewicz (CoRR, 2024)

Intrinsic mixed-dimensional beam-shell-solid couplings in linear Cosserat continua via tangential differential calculus. - Adam Sky; Jack S. Hale; Andreas Zilian; Stéphane P. A. Bordas; Patrizio Neff (CoRR, 2024)

Implementing LLMs in industrial process modeling: Addressing Categorical Variables. - Eleni D. Koronaki; Geremy Loachamín Suntaxi; Paris Papavasileiou; Dimitrios G. Giovanis; Martin Kathrein; Andreas G. Boudouvis; Stéphane P. A. Bordas (CoRR, 2024)

Design of thermal meta-structures made of functionally graded materials using isogeometric density-based topology optimization. - Chintan Jansari; Stéphane P. A. Bordas; Marco Montemurro; Elena Atroshchenko (CoRR, 2024)

MAgNET: A graph U-Net architecture for mesh-based simulations. - Saurabh Deshpande; Stéphane P. A. Bordas; Jakub Lengiewicz (Eng. Appl. Artif. Intell., 2024)

Broadband topology optimization of three-dimensional structural-acoustic interaction with reduced order isogeometric FEM/BEM. - Leilei Chen; Haojie Lian; Hao-Wen Dong; Peng Yu; Shujie Jiang; Stéphane P. A. Bordas (J. Comput. Phys., 2024)

A non-boundary-fitted-grid method, based on compact integrated-RBF approximations, for solving differential problems in multiply-connected domains. - T. T. V. Le; Nam Mai-Duy; K. Le-Cao; Stéphane P. A. Bordas; D. P. Vu; Thanh Tran-Cong (J. Comput. Sci., 2024)

Sonics: develop intuition on biomechanical systems through interactive error controlled simulations. - Arnaud Mazier; Sidaty El Hadramy; Jean-Nicolas Brunet; Jack S. Hale; Stéphane Cotin; Stéphane P. A. Bordas (Eng. Comput., 2024)

Uncertainty analysis in acoustics: perturbation methods and isogeometric boundary element methods. - Leilei Chen; Haojie Lian; Ruijin Huo; Jing Du; Weisong Liu; Zhuxuan Meng; Stéphane P. A. Bordas (Eng. Comput., 2024)

Implementing NLP in industrial process modeling: Addressing categorical variables. - Eleni D. Koronaki; Geremy Loachamín Suntaxi; Paris Papavasileiou; Dimitrios G. Giovanis; Martin Kathrein; Christoph Czettl; Andreas G. Boudouvis; Stéphane P. A. Bordas (Comput. Chem. Eng., 2025)

Integrating supervised and unsupervised learning approaches to unveil critical process inputs. - Paris Papavasileiou; Dimitrios G. Giovanis; Gabriele Pozzetti; Martin Kathrein; Christoph Czettl; Ioannis G. Kevrekidis; Andreas G. Boudouvis; Stéphane P. A. Bordas; Eleni D. Koronaki (Comput. Chem. Eng., 2025)

Hierarchical poromechanical approach to investigate the impact of mechanical loading on human skin micro-circulation. - Thomas Lavigne; Stéphane Urcun; Bérengère Fromy; Audrey Josset-Lamaugarny; Alexandre Lagache; Camilo A. Suarez-Afanador; Stéphane P. A. Bordas; Pierre-Yves Rohan; Giuseppe Sciumè (CoRR, 2025)

Machine learning surrogate models of many-body dispersion interactions in polymer melts. - Zhaoxiang Shen; Raúl I. Sosa; Jakub Lengiewicz; Alexandre Tkatchenko; Stéphane P. A. Bordas (CoRR, 2025)