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Boundary elements in zoned media: Direct and indirect methods
Author(s) -
Medina Daniel E.,
Lean Meng H.,
Liggett James A.
Publication year - 1990
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620290808
Subject(s) - boundary element method , singularity , collocation (remote sensing) , gravitational singularity , galerkin method , context (archaeology) , boundary (topology) , mathematics , field (mathematics) , mathematical analysis , geometry , finite element method , computer science , engineering , structural engineering , geology , machine learning , pure mathematics , paleontology
Several formulations of the Boundary Element Method (BEM) are examined herein in the context of heterogeneous media. A strong singularity develops at re‐entrant interzonal corners and its effect is made more acute by large differences in the material properties. The effects of this singularity on the performance of the various BEM formulations are illustrated with examples. It is concluded that the direct BEM, either in the collocation or Galerkin formulations, is unable to give good results in zones of low conductivity. On the other hand the indirect BEM does not adequately reproduce the behaviour of the flow field near boundaries. A multi‐step version of the direct BEM is formulated to eliminate the difficulties introduced by the interzonal singularities.