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Conformal map has application in a lot of areas of science, e.g., fluid flow, heat conduction, solidification, electromagnetic, etc. Especially conformal map applied to elasticity theory can provide most simple and useful solution. But finding of conformal map for custom domain is not trivial problem. We used a numerical method for building a conformal map to solve torsion problem. The main idea of the method is to build a conformal map as a polynomial of a finite degree. In this case conformity is violated in the corner points, but this problem can be prevented by replacing of piecewise smooth boundary by curve with the continuously changing tangent. In addition it was considered an infinite system method to solve the same problem. Torsion problem for the cross-shaped prism was solved by numerical conformal maps method and infinite system method. Results are compared.

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Andriy Kushnarov
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Kushnarov AndriyAndriy Kushnarov: Studied in Middle East Technical University. Now postgraduate student in Taurida National V.I. Vernadsky UniversityConformal map has application in a lot of areas of science, e.g., fluid flow. Codice articolo 5415758

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Andriy Kushnarov
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Conformal map has application in a lot of areas of science, e.g., fluid flow, heat conduction, solidification, electromagnetic, etc. Especially conformal map applied to elasticity theory can provide most simple and useful solution. But finding of conformal map for custom domain is not trivial problem. We used a numerical method for building a conformal map to solve torsion problem. The main idea of the method is to build a conformal map as a polynomial of a finite degree. In this case conformity is violated in the corner points, but this problem can be prevented by replacing of piecewise smooth boundary by curve with the continuously changing tangent. In addition it was considered an infinite system method to solve the same problem. Torsion problem for the cross-shaped prism was solved by numerical conformal maps method and infinite system method. Results are compared. 76 pp. Englisch. Codice articolo 9783838353524

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Andriy Kushnarov
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Taschenbuch. Condizione: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Conformal map has application in a lot of areas of science, e.g., fluid flow, heat conduction, solidification, electromagnetic, etc. Especially conformal map applied to elasticity theory can provide most simple and useful solution. But finding of conformal map for custom domain is not trivial problem. We used a numerical method for building a conformal map to solve torsion problem. The main idea of the method is to build a conformal map as a polynomial of a finite degree. In this case conformity is violated in the corner points, but this problem can be prevented by replacing of piecewise smooth boundary by curve with the continuously changing tangent. In addition it was considered an infinite system method to solve the same problem. Torsion problem for the cross-shaped prism was solved by numerical conformal maps method and infinite system method. Results are compared. Codice articolo 9783838353524

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Andriy Kushnarov
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Taschenbuch. Condizione: Neu. Neuware -Conformal map has application in a lot of areas of science, e.g., fluid flow, heat conduction, solidification, electromagnetic, etc. Especially conformal map applied to elasticity theory can provide most simple and useful solution. But finding of conformal map for custom domain is not trivial problem. We used a numerical method for building a conformal map to solve torsion problem. The main idea of the method is to build a conformal map as a polynomial of a finite degree. In this case conformity is violated in the corner points, but this problem can be prevented by replacing of piecewise smooth boundary by curve with the continuously changing tangent. In addition it was considered an infinite system method to solve the same problem. Torsion problem for the cross-shaped prism was solved by numerical conformal maps method and infinite system method. Results are compared.Books on Demand GmbH, Überseering 33, 22297 Hamburg 76 pp. Englisch. Codice articolo 9783838353524

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