The FEniCS Project
Description
This open access book provides the reader with a snapshot of the cutting-edge research being undertaken by the members of the FEniCS community, as presented at the FEniCS Conference at Simula Research Laboratory, Oslo, Norway, in June 2024. The conference-and this book-features contributions from both the developers and users of the library, and includes applications of the software to a wide range of application areas spread throughout engineering, physics and biology. This book highlights topics in all these areas, many of which could not be simulated as efficiently-or even simulated at all-until recently. The FEniCS Project is an open-source finite element library developed by an international network of researchers. FEniCS gives its users easy access to powerful and scalable numerical tools for solving a great number of problems based on partial differential equations. Its contributions from academia and cutting-edge research mean that many recent algorithmic advances in the area are available in the library. Its open-source nature allows users to freely build their own developments into and on top of the core library, leading to some truly remarkable research. The topics presented in this book are backed up by openly available code examples, to enhance the reproducibility of the results presented within and further development. The target audience of this book is the researcher with an interest in numerical methods, their implementation and application, and the latest up-and-coming areas in which they are being applied.
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Persons
Jørgen S. Dokken is a Senior Research Engineer in the Department of Scientific Computing and Numerical Analysis at Simula Research Laboratory, Oslo, Norway. He is an active developer and forum administrator (2019-) of the FEniCS Project and has been a member of the FEniCS Project Steering Council since 2022.
Henrik Nicolay Finsberg is Chief Research Engineer in the Department of Computational Physiology at Simula Research Laboratory, Oslo, Norway. His work comprises various aspects of cardiac modeling including mechanics and electrophysiology, and he is the maintainer of several software projects that use FEniCS for modeling and simulation of the heart.
Jack S. Hale is a Research Scientist at the University of Luxembourg, Luxembourg. His research focuses on fundamental and applied developments in numerical methods and scientific computing. He is a member of the FEniCS Project Steering Council (2016-)and an active maintainer and contributor to the project.
Marie E. Rognes is Chief Research Scientist in Scientific Computing and Numerical Analysis at Simula Research Laboratory, Oslo, Norway, focusing on fundamental research in computational mathematics and brain multiphysics. She is an author of one and editor of additional two previous Simula SpringerBriefs on Computing.
Matthew W. Scroggs is a Research Software Engineer in the Advanced Research Computing Centre at University College London. His research focuses on numerical methods and their efficient implementation. He is a member of the FEniCS Project Steering Council (2022-) and an active developer of various components of FEniCS.
Content
Adaptive Finite Element Methods Based on Flux Equilibration Using FEniCSx.- The FEniCS Project on AWS Graviton3.- cuDOLFINx: A CUDA Extension for FEniCSx.- Implementation of the Lam-Bremhorst k-9 Turbulence Model in FEniCS.- Growth and Remodelling Package in FEniCSx.- Blood Flow in the Beating Heart: Coupling Fluid Dynamics to Reduced Wall and Circulation Models for Data-Driven Cardiac FSI.- Estimation of Optimal Inlet Boundary Conditions for Blood Flow Assessment in Abdominal Aortic Aneurysm Using Variational Data Assimilation.- Thermal Analysis of Brake Discs in Rail Vehicles.- Function Scaling and Adaptive Boundary Condition Throttling for Convergence Control in Highly Nonlinear Poisson-Boltzmann Electrolyte Models.