Table of Content

Open Access iconOpen Access

ARTICLE

The Method of Fundamental Solutions Applied to the Calculation of Eigenfrequencies and Eigenmodes of 2D Simply Connected Shapes

Carlos J. S. Alves, Pedro R. S. Antunes1

CEMAT, Department of Mathematics, Instituto Superior Técnico, Av.Rovisco Pais 1, 1049-001 Lisboa, Portugal.

* Corresponding Authors:Email: email; email

Computers, Materials & Continua 2005, 2(4), 251-266. https://doi.org/10.3970/cmc.2005.002.251

Abstract

In this work we show the application of the Method of Fundamental Solutions(MFS) in the determination of eigenfrequencies and eigenmodes associated to wave scattering problems. This meshless method was already applied to simple geometry domains with Dirichlet boundary conditions (cf. Karageorghis (2001)) and to multiply connected domains (cf. Chen, Chang, Chen, and Chen (2005)). Here we show that a particular choice of point-sourcescan lead to very good results for a fairly general type of domains. Simulations with Neumann boundary conditionare also considered.

Keywords


Cite This Article

APA Style
Alves, C.J.S., Antunes, P.R.S. (2005). The method of fundamental solutions applied to the calculation of eigenfrequencies and eigenmodes of 2D simply connected shapes. Computers, Materials & Continua, 2(4), 251-266. https://doi.org/10.3970/cmc.2005.002.251
Vancouver Style
Alves CJS, Antunes PRS. The method of fundamental solutions applied to the calculation of eigenfrequencies and eigenmodes of 2D simply connected shapes. Comput Mater Contin. 2005;2(4):251-266 https://doi.org/10.3970/cmc.2005.002.251
IEEE Style
C.J.S. Alves and P.R.S. Antunes, "The Method of Fundamental Solutions Applied to the Calculation of Eigenfrequencies and Eigenmodes of 2D Simply Connected Shapes," Comput. Mater. Contin., vol. 2, no. 4, pp. 251-266. 2005. https://doi.org/10.3970/cmc.2005.002.251



cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
  • 2059

    View

  • 1665

    Download

  • 0

    Like

Share Link