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Geometrically Unfitted Finite Element Methods and Applications

Proceedings of the UCL Workshop 2016

  • Stéphane P. A. Bordas
  • Erik Burman
  • Mats G. Larson
  • Maxim A. Olshanskii

Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 121)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Peter Hansbo, Mats G. Larson, Karl Larsson
    Pages 25-63
  3. Franz Chouly, Mathieu Fabre, Patrick Hild, Rabii Mlika, Jérôme Pousin, Yves Renard
    Pages 93-141
  4. Thomas Boiveau, Erik Burman, Susanne Claus
    Pages 183-210
  5. Maxim A. Olshanskii, Arnold Reusken
    Pages 211-258
  6. Konstantinos Agathos, Giulio Ventura, Eleni Chatzi, Stéphane P. A. Bordas
    Pages 307-329
  7. Bianca Giovanardi, Luca Formaggia, Anna Scotti, Paolo Zunino
    Pages 331-352
  8. Back Matter
    Pages 353-361

About these proceedings

Introduction

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

  • Stéphane P. A. Bordas
    • 1
  • Erik Burman
    • 2
  • Mats G. Larson
    • 3
  • Maxim A. Olshanskii
    • 4
  1. 1.Faculté des Sciences, de la Technologie et de la CommunicationUniversité du LuxembourgLuxembourg
  2. 2.Department of MathematicsUniversity College LondonUnited Kingdom
  3. 3.Department of Mathematics and Mathematical StatisticsUmeå UniversitySweden
  4. 4.Department of MathematicsUniversity of HoustonUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-71431-8
  • Copyright Information Springer International Publishing AG, part of Springer Nature 2017
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-71430-1
  • Online ISBN 978-3-319-71431-8
  • Series Print ISSN 1439-7358
  • Series Online ISSN 2197-7100
  • Buy this book on publisher's site
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