Skip to main content
Log in

Eigenmodes computation on quadrilateral meshes

  • Regular article
  • Published:
Computing and Visualization in Science

Abstract.

We approximate a fluid-structure interaction eigenvalue problem by means of finite elements on quadrilateral meshes. The problem under consideration looks simple and has been the object of a wide investigation: actually, no standard numerical scheme achieves acceptable results in presence of field singularities. We consider a three-field mixed method introduced by Bathe et al. and based on rectangular meshes (see [3, 12]). Recent results show that particular care has to be taken into account when dealing with finite element approximation on general quadrilateral meshes. We present numerical experiments on several sequences of meshes which definitely show how the “local” approach has to be discarded, while the “global” approach gives reasonable results.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

Authors

Additional information

Received: 30 January 2001 / Accepted: 30 May 2001

Rights and permissions

Reprints and permissions

About this article

Cite this article

Boffi, D., Gastaldi, L. Eigenmodes computation on quadrilateral meshes. Comput Visual Sci 4, 87–92 (2001). https://doi.org/10.1007/s007910100059

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s007910100059

Keywords

Navigation