This is a pre-publication version of our paper:
Duarte, C.A.M., Babuska, I and Oden, J.T., "Generalized
Finite Element Method for Three-Dimensional Structural Mechanics Problems'',
to appear in Computers and Structures, 1999.
Generalized
Finite Element Method for Three-Dimensional Structural Mechanics Problems
Duarte, C.A.M. Babuska, I and Oden,
J.T.
Abstract
The present paper summarizes
the generalized finite element method formulation and demonstrates some
of its advantages over traditional finite element methods to solve complex,
three-dimensional structural mechanics problems. The structure of the stifness
matrix in the GFEM is compared to the corresponding FEM matrix. The performance
of the GFEM and FEM in the solution of a three-dimensional 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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© 1999 Computational Mechanics Company Inc.
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