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For the case of the flow domain described by a semi- circular closed contours, the numerical values of the velocity are computed and compared with those obtained only analytically. Conclusions on the analytical and numerical context are drawn.<\/jats:p>","DOI":"10.3390\/axioms12070654","type":"journal-article","created":{"date-parts":[[2023,7,3]],"date-time":"2023-07-03T00:53:16Z","timestamp":1688345596000},"page":"654","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Analysis of Water Infiltration under Impermeable Dams by Analytical and Boundary Element Methods in Complex"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2244-8928","authenticated-orcid":false,"given":"Elena Corina","family":"Cipu","sequence":"first","affiliation":[{"name":"Department of Applied Mathematics, Centre for Research and Training in Innovative Techniques of Applied Mathematics in Engineering \u201cTraian Lalescu\u201d (CiTi), Faculty of Applied Sciences, University Politehnica of Bucharest, 313 Splaiul Independentei, 060042 Bucharest, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,6,30]]},"reference":[{"key":"ref_1","unstructured":"Fetter, C.W. 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(2007). Hidrogeologie General\u0103, General Hydrogeology, Bucharest University Press."},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Song, Z., Zhao, F., Cui, Q.H., and Wang, J. (2015, January 28\u201329). Stability Analysis of Tailings Dam under Muddy Water Infiltration. Proceedings of the 2015 International Conference on Architectural, Civil and Hydraulics Engineering (ICACHE 2015), Guangzhou, China.","DOI":"10.2991\/icache-15.2015.54"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.aej.2020.03.041","article-title":"Research on seepage field of concrete dam foundation based on artificial neural network","volume":"60","author":"Zhang","year":"2021","journal-title":"Alex. Eng. J."},{"key":"ref_19","first-page":"601","article-title":"The study of the incompressible flow past a smooth obstacle in a channel by the boundary element method","volume":"38","author":"Carabineanu","year":"1993","journal-title":"Rev. Roum. Sci. Techn. Mec. 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