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9783838353524: Conformal map building: Numerical methods for conformal map building

Sinopsis

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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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
ISBN 10: 3838353528 ISBN 13: 9783838353524
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Taschenbuch. Condición: 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. Nº de ref. del artículo: 9783838353524

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Andriy Kushnarov
Publicado por LAP LAMBERT Academic Publishing, 2010
ISBN 10: 3838353528 ISBN 13: 9783838353524
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Condición: 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. Nº de ref. del artículo: 5415758

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Andriy Kushnarov
ISBN 10: 3838353528 ISBN 13: 9783838353524
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Taschenbuch. Condición: 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. Nº de ref. del artículo: 9783838353524

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Andriy Kushnarov
Publicado por LAP LAMBERT Academic Publishing, 2010
ISBN 10: 3838353528 ISBN 13: 9783838353524
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Librería: AHA-BUCH GmbH, Einbeck, Alemania

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Taschenbuch. Condición: 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. Nº de ref. del artículo: 9783838353524

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