WIT Press
Trefftz and Collocation Methods




Trefftz and Collocation Methods

Authors: Z-C. Li, National Sun Yat-sen University, Taiwan, T-T. Lu, National Center for Theoretical Science, Taiwan, H-Y. Hu, Tunghai University, Taiwan and A. H-D. Cheng, University of Mississippi, USA

Price

$326.00 (free shipping)

ISBN

978-1-84564-153-5

eISBN

978-1-84564-303-4

Pages

432

Published

2008

Format

Hardback

This book covers a class of numerical methods that are generally referred to as “Collocation methods”. Different from the Finite Element and the Finite Difference methods, the discretization and approximation of the collocation method is based on a set of unstructured points in space. This “meshless” feature is attractive because it eliminates the bookkeeping requirements of the “element” based methods. This text discusses several types of collocation methods including the radial basis function method, the Trefftz method, and the coupled collocation and finite element method. Governing equations investigated include Laplace, Poisson, Helmholtz and biharmonic equations. Regular boundary value problems, boundary value problems with singularity, and Eigenvalue problems are also examined. Rigorous mathematical proofs are contained in these chapters, and many numerical experiments are also provided to support the algorithms and to verify the theory. A tutorial on the applications of these methods is also provided.
 

The Trefftz Finite and Boundary Element Method
Boundary Collocation Techniques and their Application in Engineering
Mathematical Methods with Applications