Author(s): G. S. Gipson & B. W. Yeigh
This paper amplifies upon a previously presented BEM formulation where the
two-dimensional logarithmic fundamental solution is transformed so as to
automatically accommodate rectangular boundaries with fixed boundary
Explicit derivations are presented using conformal mapping.
Computational examples and comparisons with the standard procedure illustrate
the advantages of the method.
Greenís function, fundamental solution, boundary elements,
conformal mapping, explicit formulations.
In 1986, Gipson et al.
 presented boundary element results for phreatic surface
and subsurface flow using an advanced Greenís function that inherently
accounted for certain boundary conditions common to such analyses.
Due to the
nature of that presentation and space limitations in the proceedings, the details of
the Greenís function derivation were relegated to a reference in what has since
become a difficult-to-obtain technical report .
In the years since the
publication , there have been numerous requests made of the original authors
to provide more substantive details of how the advanced Greenís function was
Also during this time, the global scope of boundary element
technology has been expanded to more directly embrace the meshless
methodology, which was a primary theme in the original work.
represents an attempt to fill the gap in the archival literature left by the omission
Size: 530 kb
Paper DOI: 10.2495/BEM060011
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