Generalized finite element methods for three-dimensional structural mechanics problems

C. A. Duarte, I. Babuška, J. T. Oden

Research output: Contribution to journalArticlepeer-review

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 (3D) structural mechanics problems. The structure of the stiffness 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.

Original languageEnglish (US)
Pages (from-to)215-232
Number of pages18
JournalComputers and Structures
Volume77
Issue number2
DOIs
StatePublished - Jun 15 2000
Externally publishedYes

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Modeling and Simulation
  • Materials Science(all)
  • Mechanical Engineering
  • Computer Science Applications

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