EAN: 9783031005824

SYNTHESIS LECTURES ON COMPUTATIONAL ELECTROMAGN...

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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