• Home
• Register an Account
• New Title Information Alerts
• Contact Us
• Overview of the Wessex Institute of Technology

Adobe PDF Reader is required to view our papers:

Matrix decomposition MFS algorithms

Author(s): A. Karageorghis & Y.-S. Smyrlis Abstract: We describe the application of the Method of Fundamental Solutions (MFS) to elliptic boundary value problems in rotationally symmetric problems. In particular, we show how efficient matrix decomposition MFS algorithms can be developed for such problems. The efficiency of these algorithms is optimized by using Fast Fourier Transforms (FFTs). 1 Introduction: The Method of Fundamental Solutions (MFS) is a meshless boundary method which has become popular in recent years primarily because of its simplicity. Implementational details as well as a wide range of applications of theMFS can be found in the survey papers [1–3]. The MFS has recently been used for the solution of several elliptic boundary value problems in rotationally symmetric problems. At first, the MFS was used to solve the axisymmetric version of the governing equations [4–6]. However, the fundamental solutions of these equations involve the potentially troublesome evaluation of complete elliptic integrals. Further, when the boundary conditions of the problem under consideration are not axisymmetric, this approach requires the solution of a sequence of problems in order to approximate a finite Fourier sum. More recently, a different approach has been suggested, in which the three dimensional version of the governing equations is considered. In this work, matrix decomposition algorithms are developed for the efficient solution of the resulting systems. (An overview of matrix decomposition algorithms can be found in [7]). The algorithms proposed in this approach make use of Fast Fourier Transforms (FFTs). The basic ideas for the solution of two-dimensional harmonic problems in a disk subject to Dirichlet boundary conditions can be found in [8] while the numerical analysis of these problems is carried out in [9]. The implemen- ... Pages: 8 Size: 383 kb Paper DOI: 10.2495/BEM060071

Download the Full Article Price: US$ 0.00 This article is part of the WIT OpenView scheme and you can download the full text Adobe PDF article for FREE by clicking the 'Openview' icon below. Send this page to a colleague. This paper can be found in the following book Boundary Elements and Other Mesh Reduction Methods XXVIII Buy Book from Witpress.com

---

Download the Full Article This article is part of the WIT OpenView scheme and you can download the full text Adobe PDF article for FREE by clicking the 'Openview' icon to the right.