Conditional Optimization and One Inverse Boundary Value Problem

Here we construct different approximate solutions of the plane inverse boundary value problem of aerohydrodynamics. In order to do this we solve some conditional optimization problems in the norms ∥·∥2, ∥·∥∞, and ∥·∥1 and some of their generalizations. We present the example clarifying the mathemati...

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Bibliographic Details
Main Author: Pyotr N. Ivanshin
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2015/949703
Description
Summary:Here we construct different approximate solutions of the plane inverse boundary value problem of aerohydrodynamics. In order to do this we solve some conditional optimization problems in the norms ∥·∥2, ∥·∥∞, and ∥·∥1 and some of their generalizations. We present the example clarifying the mathematical constructions and show that the supremum norm generalization seems to be the optimal one of all the functionals considered in the paper.
ISSN:1024-123X
1563-5147