Analytical solutions of seepage theory problems. Inverse method, variational theorems, optimization and estimates (a review)
type: Item
instance of: scholarly article
title: Analytical solutions of seepage theory problems. Inverse method, variational theorems, optimization and estimates (a review)
zbMATH Open document ID: 0938.76100
DOI: 10.1007/BF02698697
author: N. B. Il'inskij
author: N. D. Yakimov
author: Aslan R. Kasimov
published in: Fluid Dynamics
publication date: 2000-06-27T00:00:00Z
review text: This paper presents a review of analytical methods in seepage theory of civil engineering, hydrogeology and irrigation engineering. According to the authors, these methods are necessary not only to develop and test numerical algorithms, but also to gain a deeper understanding of the underlying physics, as well as for the parametric analysis of complex flow patterns and the optimization of the seepage field properties. In particular, under consideration are methods of inverse boundary value problems, variational-topological methods (M. A. Lavrent'ev, G. N. Polozhij) and optimization methods.
reviewed by: Ibrahim Aganović
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76M30
Mathematics Subject Classification ID: 76-02
Mathematics Subject Classification ID: 86A05
zbMATH DE Number: 1293061
zbMATH Keywords: dam problem
zbMATH Keywords: seepage theory
zbMATH Keywords: parametric analysis
zbMATH Keywords: methods of inverse boundary value problems
zbMATH Keywords: variational-topological methods
zbMATH Keywords: optimization methods
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02698697
OpenAlex ID: W2039044122
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description: scientific article; zbMATH DE number 1293061