Open AccessA Prototype Four-Dimensional Galerkin-Type Integral
Author(s) -
J. N. Lyness
Publication year - 2005
Publication title -
publications of the research institute for mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.786
H-Index - 39
eISSN - 1663-4926
pISSN - 0034-5318
DOI - 10.2977/prims/1145474597
Subject(s) - mathematics , type (biology) , galerkin method , mathematical analysis , calculus (dental) , finite element method , medicine , structural engineering , orthodontics , geology , engineering , paleontology
An error functional expansion is constructed for a four-dimensional integral over [0, 1] 4 whose integrand function has a singularity structure of a type that occurs in integrals in the Galerkin boundary element method. We show with an example how extrapolation may be used to evaluate this integral.
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