An Introduction to the Locally Corrected Nyström Method - Brossura

Peterson, Andrew; Bibby, Malcolm

Brossura

ISBN 10: 1608452999 ISBN 13: 9781608452996

Casa editrice: Morgan and Claypool Publishers, 2010

Riassunto

This lecture provides a tutorial introduction to the Nyström and locally-corrected Nyström methods when used for the numerical solutions of the common integral equations of two-dimensional electromagnetic fields. These equations exhibit kernel singularities that complicate their numerical solution. Classical and generalized Gaussian quadrature rules are reviewed. The traditional Nyström method is summarized, and applied to the magnetic field equation for illustration. To obtain high order accuracy in the numerical results, the locally-corrected Nyström method is developed and applied to both the electric field and magnetic field equations. In the presence of target edges, where current or charge density singularities occur, the method must be extended through the use of appropriate singular basis functions and special quadrature rules. This extension is also described. Table of Contents: Introduction / Classical Quadrature Rules / The Classical Nyström Method / The Locally-Corrected Nyström Method / Generalized Gaussian Quadrature / LCN Treatment of Edge Singularities

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Product Description

Book by Peterson Andrew Bibby Malcolm

Dettagli dell'edizione

• Editore: Morgan and Claypool Publishers
• Data di pubblicazione: 2010
• Lingua: Inglese
• ISBN 10: 1608452999
• ISBN 13: 9781608452996
• Rilegatura: Copertina flessibile
• Numero di pagine: 116
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile