Symmetric Galerkin Boundary Element Method - Paulino, Glaucio

. .

Résumé :
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....

Sommaire:
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.