Extracting edge flux intensity functions for the Laplacian

Zohar Yosibash, Ricardo Actis, Barna Szabó

Research output: Contribution to journalArticlepeer-review


The solution to the Laplace operator in three-dimensional domains in the vicinity of straight edges is presented as an asymptotic expansion involving eigenpairs with their coefficients called edge flux intensity functions (EFIFs). The eigenpairs are identical to their two-dimensional counterparts over a plane perpendicular to the edge. Extraction of EFIFs however, cannot be obtained in a straightforward manner over this two-dimensional plane. A method based on L2 projection and Richardson extrapolation is presented for point-wise extraction of EFIFs from p-finite element solutions and illustrated by examples. A similar but more efficient method, based on 'energy projection', for extracting EFIFs is proposed.

Original languageEnglish
Pages (from-to)225-242
Number of pages18
JournalInternational Journal for Numerical Methods in Engineering
Issue number1
StatePublished - 10 Jan 2002
Externally publishedYes


  • Generalized stress intensity functions
  • Linear elasticity
  • Singularities
  • p-version FEM


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