Geometrically Unfitted Finite Element Methods and Applications Ebook

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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 Nitsches 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 engineeringGeometrically Unfitted Finite Element Methods and Applications EbookProceedings of the UCL Workshop 2016 By Stphane P A Bordas Publisher Springer Print ISBN 9783319714301 3319714309 eText ISBN 9783319714318 3319714317 Copyright year 2017 Format EPUB Available from 20900 USD SKU 9783319714318

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9783319714301

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 Nitsches 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 engineeringGeometrically Unfitted Finite Element Methods and Applications EbookProceedings of the UCL Workshop 2016 By Stphane P A Bordas Publisher Springer Print ISBN 9783319714301 3319714309 eText ISBN 9783319714318 3319714317 Copyright year 2017 Format EPUB Available from 20900 USD SKU 9783319714318