Alok Sutradhar, Glaucio Paulino, Leonard J. Gray

Symmetric Galerkin Boundary Element Method (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 276
• Erscheinungstermin: 26. September 2008
• Englisch
• ISBN-13: 9783540687726
• Artikelnr.: 37368232

Inhaltsangabe

Boundary Integral Equations.- Two Dimensional Analysis.- Three Dimensional Analysis.- Surface Gradient.- Axisymmetry.- Interface and Multizone.- Error Estimation and Adaptivity.- Fracture Mechanics.- Nonhomogenous Media.- Bean: Boundary Element Analysis Program.