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Generalized finite element methods for three-dimensional structural mechanics problems

✍ Scribed by C.A. Duarte; I. Babuška; J.T. Oden

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
851 KB
Volume
77
Category
Article
ISSN
0045-7949

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✦ Synopsis

The present paper summarizes the generalized ®nite element method formulation and demonstrates some of its advantages over traditional ®nite element methods to solve complex, three-dimensional (3D) structural mechanics problems. The structure of the stiness matrix in the GFEM is compared to the corresponding FEM matrix. The performance of the GFEM and FEM in the solution of a 3D elasticity problem is also compared. The construction of p-orthotropic approximations on tetrahedral meshes and the use of a-priori knowledge about the solution of elasticity equations in three-dimensions are also presented.

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