A note on the singular linear system of the generalized finite element methods

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Abstract

We characterize the kernel of the global stiffness matrix in the singular linear system of the generalized finite element methods (GFEM) which uses the classical finite element (FE) shape functions and local approximation space of harmonic polynomials.

Original languageEnglish
Pages (from-to)6691-6699
Number of pages9
JournalApplied Mathematics and Computation
Volume217
Issue number15
DOIs
StatePublished - 1 Apr 2011

Keywords

  • Generalized finite element methods
  • Multilinear operator
  • Singular linear system

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