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Geometrically Unfitted Finite Element Methods and Applications - Proceedings of the UCL Workshop 2016 (Hardcover, 1st ed. 2017)
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Geometrically Unfitted Finite Element Methods and Applications - Proceedings of the UCL Workshop 2016 (Hardcover, 1st ed. 2017)
Series: Lecture Notes in Computational Science and Engineering, 121
Expected to ship within 12 - 17 working days
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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 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.
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