Editors:
- Provides a snapshot of the latest research in unfitted finite element methods and extended finite element methods
- Presents core material, such as unfitted FEM for elasticity and augmented Lagrangian techniques for contact problems
- Explores applications of the presented methods to problems in continuum mechanics
Part of the book series: Lecture Notes in Computational Science and Engineering (LNCSE, volume 121)
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Table of contents (11 papers)
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Front Matter
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Back Matter
About this book
This book provides a snapshot of the state of the art of the rapidly evolving field of integration of geometric data in finite element computations.
The contributions to this volume, based on research presented at the UCL workshop on the topic in January 2016, include three review papers on core topics such as fictitious domain methods for elasticity, trace finite element methods for partial differential equations defined on surfaces, and Nitsche’s method for contact problems. Five chapters present original research articles on related theoretical topics, including Lagrange multiplier methods, interface problems, bulk-surface coupling, and approximation of partial differential equations on moving domains. Finally, two chapters discuss advanced applications such as crack propagation or flow in fractured poroelastic media.
This is the first volume that provides a comprehensive overview of the field of unfitted finite element methods, including recent techniques such as cutFEM, traceFEM, ghost penalty, and augmented Lagrangian techniques. It is aimed at researchers in applied mathematics, scientific computing or computational engineering.Keywords
- MSC 2010: 65N12, 65N15, 65N85, 65N30, 74G15, 74S05, 74M15
- geometrically unfitted finite element methods
- geometrically unfitted finite element methods applications
- fictitious domain methods
- contact problems
- finite element methods for PDEs on surfaces
- Nitsche’s method for interfaces and boundaries
- Lagrange multiplier methods
- incompressible flow
- linear elasticity problems
- extended finite element methods
- flow in poroelastic media
- flow in porous media
- discontinuous Galerkin method
- crack propagation
- cutFEM
- traceFEM
- ghost penalty
- augmented Lagrangian techniques
Editors and Affiliations
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Faculté des Sciences, de la Technologie et de la Communication, Université du Luxembourg, Luxembourg
Stéphane P. A. Bordas
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Department of Mathematics, University College London, United Kingdom
Erik Burman
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Department of Mathematics and Mathematical Statistics, Umeå University, Sweden
Mats G. Larson
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Department of Mathematics, University of Houston, USA
Maxim A. Olshanskii
Bibliographic Information
Book Title: Geometrically Unfitted Finite Element Methods and Applications
Book Subtitle: Proceedings of the UCL Workshop 2016
Editors: Stéphane P. A. Bordas, Erik Burman, Mats G. Larson, Maxim A. Olshanskii
Series Title: Lecture Notes in Computational Science and Engineering
DOI: https://doi.org/10.1007/978-3-319-71431-8
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2017
Hardcover ISBN: 978-3-319-71430-1Published: 14 March 2018
Softcover ISBN: 978-3-030-10055-1Published: 11 December 2018
eBook ISBN: 978-3-319-71431-8Published: 13 March 2018
Series ISSN: 1439-7358
Series E-ISSN: 2197-7100
Edition Number: 1
Number of Pages: XIII, 361
Topics: Computational Mathematics and Numerical Analysis, Mathematics of Computing, Mathematical and Computational Engineering