Plane Strain Finite Elements with Wachspress-Type Functions

Research output: Contribution to conferencePresentation

Abstract

For the numerical analysis of two-dimensional elasticity problems triangular and quadrilateral finite elements are popular for a long time. Considering the generation of meshes for domains with complicated boundaries, it easier to produce a high quality mesh with triangles than constructing a good mesh with quadrilateral finite elements. For triangles, shape functions can easily be obtained using barycentric coordinates. For quadrilateral elements traditional shape functions are constructed in a mapped bi-unit square. In this paper we consider the use of Wachspress-type rational functions for polygonal elements with four or more corner nodes. A special feature of the Wachspress rational functions is that they are linear on the finite element boundary between two neighboring corner nodes. The performance of the elements will be illustrated in a series of test examples.
Original languageAmerican English
StatePublished - Oct 1 2011
EventSoutheastern Atlantic Regional Conference on Differential Equations (SEARCDE) - Statesboro, GA
Duration: Oct 1 2011 → …

Conference

ConferenceSoutheastern Atlantic Regional Conference on Differential Equations (SEARCDE)
Period10/1/11 → …

Disciplines

  • Mathematics

Keywords

  • Plane strain finite elements
  • Triangles
  • Wachspress-type functions

Fingerprint

Dive into the research topics of 'Plane Strain Finite Elements with Wachspress-Type Functions'. Together they form a unique fingerprint.

Cite this