8/9/2023 0 Comments Gmsh define dirichletbc fenicsWells Oslo and Cambridge, October 2011 This document ( The FEniCS Manual ) contains excerpts from the book Automated Solution of Differential Equations by the Finite Element Method ( The FEniCS Book ). These code examples can be downloaded from Anders Logg, Kent-Andre Mardal and Garth N. For more information about the FEniCS Project, access to the software presented in this book, documentation, articles and presentations, visit the FEniCS Project web site at Some of the chapters in this book are accompanied by supplementary material in the form of code examples. Feedback on this book is welcome, and can be given at Use the Launchpad system to file bug reports if you find errors in the text. New users of FEniCS may find the tutorial included as the opening chapter particularly useful. The mathematical framework is outlined in Part I, the implementation of central components is described in Part II, while Part III concerns a wide range of applications. The presentation spans mathematical background, software design and the use of FEniCS in applications. This book is written by researchers and developers behind the FEniCS Project. ![]() Other FEniCS components and applications described in this book are SyFi/SFC, FErari, ASCoT, Unicorn, CBC.Block, CBC.RANS, CBC.Solve and DOLFWAVE. Since then, the project has grown and now consists of the core components DOLFIN, FFC, FIAT, Instant, UFC and UFL. Initially, the FEniCS Project consisted of two libraries: DOLFIN and FIAT. ![]() Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.3 or any later version published by the Free Software Foundation with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts.ģ Contents 1 A FEniCS tutorial Fundamentals Nonlinear problems Time-dependent problems Creating more complex domains Handling domains with different materials More examples Miscellaneous topics The finite element method A simple model problem Finite element discretization Finite element abstract formalism Finite element function spaces Finite element solvers Finite element error estimation and adaptivity Automating the finite element method Historical notes DOLFIN: a C++/Python finite element library Overview User interfaces Functionality Implementation notes Historical notes UFL: a finite element form language Overview Defining finite element spaces Defining forms Defining expressions Form operators Expression representation Computing derivatives Algorithms Implementation issues Conclusions and future directions Acknowledgements The FEniCS book 177 References 185 iiiĥ Preface The FEniCS Project set out in 2003 with an idea to automate the solution of mathematical models based on differential equations. Wells Version October 31, 2011Ģ Copyright 2011 The FEniCS Project. Kirby Hans Petter Langtangen Anders Logg Garth N. ![]() 1 The FEniCS Manual Excerpts from the FEniCS Book With contributions from Martin Sandve Alnæs Johan Hake Robert C.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |