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Titlebook: Geometrically Unfitted Finite Element Methods and Applications; Proceedings of the U Stéphane P. A. Bordas,Erik Burman,Maxim A. Olshans Con

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发表于 2025-3-21 19:35:41 | 显示全部楼层 |阅读模式
书目名称Geometrically Unfitted Finite Element Methods and Applications
副标题Proceedings of the U
编辑Stéphane P. A. Bordas,Erik Burman,Maxim A. Olshans
视频video
概述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 t
丛书名称Lecture Notes in Computational Science and Engineering
图书封面Titlebook: Geometrically Unfitted Finite Element Methods and Applications; Proceedings of the U Stéphane P. A. Bordas,Erik Burman,Maxim A. Olshans Con
描述.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..
出版日期Conference proceedings 2017
关键词MSC 2010: 65N12, 65N15, 65N85, 65N30, 74G15, 74S05, 74M15; geometrically unfitted finite element met
版次1
doihttps://doi.org/10.1007/978-3-319-71431-8
isbn_softcover978-3-030-10055-1
isbn_ebook978-3-319-71431-8Series ISSN 1439-7358 Series E-ISSN 2197-7100
issn_series 1439-7358
copyrightSpringer International Publishing AG, part of Springer Nature 2017
The information of publication is updating

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1439-7358 ch as unfitted FEM for elasticity and augmented Lagrangian t.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
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Palgrave Studies in Educational Futuresblem of numerical integration to problems on domains which are described by piecewise linear level set functions. The combination of this strategy for the numerical integration and the stabilized Nitsche formulation results in an accurate and robust method. We introduce and analyze it and give numerical examples.
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Education and Division of Labourroperties as demonstrated by numerical experiments. We also show both theoretically and numerically that the system matrix is well-conditioned, irrespective of the relative position of the bulk domain in the background mesh.
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A Higher Order Isoparametric Fictitious Domain Method for Level Set Domains,blem of numerical integration to problems on domains which are described by piecewise linear level set functions. The combination of this strategy for the numerical integration and the stabilized Nitsche formulation results in an accurate and robust method. We introduce and analyze it and give numerical examples.
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