Theory and applications of the Analytic Element Method

We present a review of the theory and applications of the Analytic Element Method as it exists today. The paper begins with a presentation of analytic elements used for modeling of divergence‐free and irrotational flow in both two and three dimensions, including a description of the superblock appro...

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Bibliographic Details
Published in:Reviews of geophysics (1985) 2003-06, Vol.41 (2), p.1005-n/a
Main Author: Strack, O. D. L.
Format: Article
Language:English
Subjects:
Analytic Element Method
complex variable method
Groundwater hydrology
groundwater modeling
Groundwater transport
Hydrology
Mathematical Geophysics
Modeling
Numerical solutions
regional groundwater modeling
three-dimensional groundwater flow
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Summary:We present a review of the theory and applications of the Analytic Element Method as it exists today. The paper begins with a presentation of analytic elements used for modeling of divergence‐free and irrotational flow in both two and three dimensions, including a description of the superblock approach, which makes it possible to deal effectively with very large models both in terms of accuracy and speed. We briefly discuss a particular application of the Analytic Element Method to multiaquifer problems, present the theory of the Analytic Element Method for general vector fields, and discuss the inclusion of source terms (irrotational vector fields with nonzero divergence). We finish the paper with a brief discussion of three major applications on a regional scale.
ISSN:8755-1209
1944-9208
DOI:10.1029/2002RG000111