The analytic element method (AEM) is a numerical method used for the solution of partial differential equations.[1][2][3] It was initially developed by O.D.L. Strack at the University of Minnesota. It is similar in nature to the boundary element method (BEM), as it does not rely upon the discretization of volumes or areas in the modeled system; only internal and external boundaries are discretized. One of the primary distinctions between AEM and BEMs is that the boundary integrals are calculated analytically. Although originally developed to model groundwater flow,[4] AEM has subsequently been applied to other fields of study including studies of heat flow and conduction, periodic waves, and deformation by force.[5]
Flow around impermeable cylinders. Solved with the AEM using 20 coefficients in the series expansions.
^Strack, Otto D. L., 1943- (1989). Groundwater mechanics. Englewood Cliffs, N.J.: Prentice Hall. ISBN 0-13-365412-5. OCLC 16276592.{{cite book}}: CS1 maint: multiple names: authors list (link) CS1 maint: numeric names: authors list (link)
^Strack, Otto D. L. (August 2017). Analytical Groundwater Mechanics. doi:10.1017/9781316563144. ISBN 9781316563144. Retrieved 2020-04-20. {{cite book}}: |website= ignored (help)
^Haitjema, H. M. (Henk M.) (1995). Analytic element modeling of groundwater flow. San Diego: Academic Press. ISBN 978-0-08-049910-9. OCLC 162129095.
^Haitjema, H.M. (1995), "Analytic Element Modeling", Analytic Element Modeling of Groundwater Flow, Elsevier, pp. 203–305, retrieved 2023-09-11
^Steward, David R. (2020-09-17). Analytic Element Method. Oxford University PressOxford. ISBN 0-19-885678-4.
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