Authors:
- Suitable for a graduate level textbook as well as a self-learning tutorial in the field
- Provides Symbolic codes using Maple® for singular-type integrations
- Includes a user-friendly adaptive computer code
- Includes supplementary material: sn.pub/extras
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Table of contents (11 chapters)
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Front Matter
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Back Matter
About this book
Symmetric Galerkin Boundary Element Method presents an introduction as well as recent developments of this accurate, powerful, and versatile method. The formulation possesses the attractive feature of producing a symmetric coefficient matrix. In addition, the Galerkin approximation allows standard continuous elements to be used for evaluation of hypersingular integrals.
FEATURES
• Written in a form suitable for a graduate level textbook as well as a self-learning tutorial in the field.
• Covers applications in two-dimensional and three-dimensional problems of potential theory and elasticity. Additional basic topics involve axisymmetry, multi-zone and interface formulations. More advanced topics include fluid flow (wave breaking over a sloping beach), non-homogeneous media, functionally graded materials (FGMs), anisotropic elasticity, error estimation, adaptivity, and fracture mechanics.
• Presents integral equations as a basis for the formulation of general symmetric Galerkin boundary element methods and their corresponding numerical implementation.
• Designed to convey effective unified procedures for the treatment of singular and hypersingular integrals that naturally arise in the method. Symbolic codes using Maple® for singular-type integrations are provided and discussed in detail.
• The user-friendly adaptive computer code BEAN (Boundary Element ANalysis), fully written in Matlab®, is available as a companion to the text. The complete source code, including the graphical user-interface (GUI), can be downloaded from the web site http://www.ghpaulino.com/SGBEM_book. The source code can be used as the basis for building new applications, and should also function as an effective teaching tool. To facilitate the use of BEAN, a video tutorial and a library of practical examples are provided.
Authors and Affiliations
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Department of Surgery, Ohio State University, USA
Alok Sutradhar
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Newmark Laboratory, University of Illinois at Urbana-Champaign, USA
Glaucio H. Paulino
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Oak Ridge National Laboratory, Oak Ridge
Leonard J. Gray
Bibliographic Information
Book Title: Symmetric Galerkin Boundary Element Method
Authors: Alok Sutradhar, Glaucio H. Paulino, Leonard J. Gray
DOI: https://doi.org/10.1007/978-3-540-68772-6
Publisher: Springer Berlin, Heidelberg
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2008
Hardcover ISBN: 978-3-540-68770-2Published: 15 October 2008
Softcover ISBN: 978-3-642-08829-2Published: 14 October 2010
eBook ISBN: 978-3-540-68772-6Published: 26 September 2008
Edition Number: 1
Number of Pages: XVIII, 276
Number of Illustrations: 84 b/w illustrations, 22 illustrations in colour
Topics: Mathematical and Computational Engineering, Computational Intelligence, Numerical Analysis, Solid Mechanics, Solid Mechanics, Engineering Fluid Dynamics