Error Control, Adaptive Discretizations, and Applications, Part 3

by Franz Chouly (Editor), Stéphane P.A. Bordas (Editor), Roland becker (Editor), Pascal Omnes (Editor)

Overview

Error Control, Adaptive Discretizations, and Applications, Volume 60, Part Three highlights new advances, with this volume presenting interesting chapters written by an international board of authors. Chapters in this release cover Higher order discontinuous Galerkin finite element methods for the contact problems, Anisotropic Recovery-Based Error Estimators and Mesh Adaptation Tailored for Real-Life Engineering Innovation, Adaptive mesh refinement on Cartesian meshes applied to the mixed finite element discretization of the multigroup neutron diffusion equations, A posteriori error analysis for Finite Element approximation of some groundwater models Part I: Linear models, A posteriori error estimates for low frequency electromagnetic computations, and more.Other sections delve into A posteriori error control for stochastic Galerkin FEM with high-dimensional random parametric PDEs and Recovery techniques for finite element methods. - Covers multi-scale modeling - Includes updates on data-driven modeling - Presents the latest information on large deformations of multi-scale materials

Product Details

ISBN-13:	9780443294532
Publisher:	Elsevier Science & Technology Books
Publication date:	06/16/2025
Series:	Advances in Applied Mechanics , #60
Sold by:	Barnes & Noble
Format:	eBook
Pages:	300
File size:	41 MB
Note:	This product may take a few minutes to download.

About the Author

Franz Chouly is professor at the University of Burgundy (Dijon, France). His research is focused on the numerical analysis of partial differential equations and variational inequalities, finite element methods, and applications in fluid and solid mechanics.
Stéphane is a multi-disciplinary computational and data science researcher, educator, mentor and coach. He was trained as an engineer and applied mathematician who has been teaching and researching in computational sciences since year 1999, in various capacities. He has been in the top 1% most cited in his field, worldwide since year 2015 (ISI Clarivate). Stéphane leads the Legato Team (legato-team.eu), a multi-disciplinary team of about 30 researchers of a dozen nationalities. He is focusing on bringing the rigour of mathematics to bring intuition into the behaviour of complex systems. In particular, he pioneered new approaches to guarantee the quality of surgical simulation devices. The philosophy that he has been following is to create methodologies which translate across discipline boundaries. For example, the methodological backbone of his PhD thesis supports applications in fracture mechanics, nanoscale heterogeneities, biofilm growth, cancer growth, astrocytic metabolism and many others. Recently, his team has become involved, through the Institute of Advanced Studies of the University of Luxembourg in the nascent field of Computational Archaeology. Currently, one of the main focus points of his Team is to bring machine learning tools to bear on mathematical models of physical phenomena. In particular, his group develops adaptive data assimilation, model selection and discretisation optimisation schemes for the deformation of soft matter under large deformation with applications to surgical simulations and robotics. His team has been applying such ideas to programmable matter, multi-scale material modelling, wind energy harvesting, chemical engineering process optimisation, among others. Stéphane has taught over 5,000 students directly and given short courses and research seminars reaching thousands of attendees. He has extensive experience in one-to-one tutoring, mentoring and coaching across various disciplines. He has directly worked with over four hundred collaborators and over fifty different companies, worldwide, as an R&D consultant. Stéphane and his students and collaborators received multiple international prizes for their research and mentorship. He has raised over 28 million euros in research funding from the private and public sector alike. He is Fellow of the Learned Society of Wales, and recipient of the 2022 Eugenio Beltrami Senior Scientist Prize. He is Editor in Chief of Advances in Applied Mechanics, Executive Editor of Data-Centric Engineering, and Subject Editor for Applied Mathematical Modelling.

Table of Contents

1. Chapter name yet to be determined.Jean-Marie Mirebeau2. Higher order discontinuous Galerkin finite element methods for the contact problemsKamana Porwal and Gudi Thirupathi3. Chapter name yet to be determined.Michel Duprez4. Anisotropic Recovery-Based Error Estimators and Mesh Adaptation Tailored for Real-Life Engineering InnovationSimona Perotto, Erika Temellini, Nicola Ferro, Luca Liverotti and Giacomo Speroni5. Chapter name yet to be determined.Ricardo Ruiz Baier and Nicolás Alejandro Barnafi6. Chapter name yet to be determined.Frederic Alauzet, Eloi Guilbert, Matthieu Maunoury and Cosimo Tarsia Morisco7. Chapter name yet to be determined.Weimin Han8. Chapter name yet to be determined.Raphaël Bulle9. Chapter name yet to be determined.Patrick Hild10. Chapter name yet to be determined.Sundararajan Natarajan11. Chapter name yet to be determined.Dr. Oden12. Chapter name yet to be determined.Tristan Pryer and Georgoulis Emmanuil13. Chapter name yet to be determined.Gudi Thirupathi14. Chapter name yet to be determined.Iain Smears15. Chapter name yet to be determined.Juan José Ródenas, Enrique Nadal Soriano and José Manuel16. Chapter name yet to be determined.Isabelle Ramière17. Chapter name yet to be determined.Yousef Soleiman and Martin Vohralik18. Chapter name yet to be determined.Rodolfo Araya19. Adaptive mesh refinement on Cartesian meshes applied to the mixed finite element discretization of the multigroup neutron diffusion equationsFrançois Madiot, Patrick Ciarlet and Minh-Hieu Do20. A posteriori error analysis for Finite Element approximation of some groundwater models Part I: Linear modelsZoubida Mghazli21. Chapter name yet to be determined.Andreas Veeser22. Chapter name yet to be determined.Hanen Amor23. Chapter name yet to be determined.Erik Burman24. A posteriori error estimates for low frequency electromagnetic computationsZuqi Tang25. Chapter name yet to be determined.Heiko Gimperlein26. Chapter name yet to be determined.Andrea Cangiani27. Chapter name yet to be determined.Michael Feischl28. A posteriori error control for stochastic Galerkin FEM with high-dimensional random parametric PDEsChristian Merdon and Martin Eigel29. Recovery techniques for finite element methodsHailong Guo

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From the Publisher

Provides results on the mechanics of multi-scale deformable media, along with applications in health and digital twinning