4.3 Article

GENERALIZED FINITE ELEMENT METHODS - MAIN IDEAS, RESULTS AND PERSPECTIVE

Journal

INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS
Volume 1, Issue 1, Pages 67-103

Publisher

WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0219876204000083

Keywords

Meshless methods; approximation; finite element methods; Poincare constants

Funding

  1. NSF [DMS-0341982, DMS-0341899]
  2. ONR [N00014-99-1-0724]

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This paper is an overview of the main ideas of the Generalized Finite Element Method (GFEM). We present the basic results, experiences with, and potentials of this method. GFEM is a generalization of the classical Finite Element Method - in its h, p, and h-p versions - as well as of the various forms of meshless methods used in engineering.

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