Geometrically Unfitted Finite Element Methods and Applications

Stéphane P. A. Bordas

ISBN 10: 3319714309 / ISBN 13: 9783319714301

Published by Springer International Publishing, Springer International Publishing Mär 2018, 2018

About this Item

Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 376 pp. Englisch.

Seller Inventory # 9783319714301

Bibliographic Details

• Title: Geometrically Unfitted Finite Element Methods and Applications
• Publisher: Springer International Publishing, Springer International Publishing Mär 2018
• Publication Date: 2018
• Language: English
• ISBN 10: 3319714309
• ISBN 13: 9783319714301
• Binding: Buch
• Condition: Neu
• Dimensions: 241W x 160H x 26D millimeters 241 millimeters width by 160 millimeters height by 26 millimeters depth
• Weight: 729 grams

About this title

Synopsis

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.