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An Introduction to the Locally Corrected Nystrom Method
  • Language: en
  • Pages: 103

An Introduction to the Locally Corrected Nystrom Method

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

Mapped Vector Basis Functions for Electromagnetic Integral Equations
  • Language: en
  • Pages: 115

Mapped Vector Basis Functions for Electromagnetic Integral Equations

The method-of-moments solution of the electric field and magnetic field integral equations (EFIE and MFIE) is extended to conducting objects modeled with curved cells. These techniques are important for electromagnetic scattering, antenna, radar signature, and wireless communication applications. Vector basis functions of the divergence-conforming and curl-conforming types are explained, and specific interpolatory and hierarchical basis functions are reviewed. Procedures for mapping these basis functions from a reference domain to a curved cell, while preserving the desired continuity properties on curved cells, are discussed in detail. For illustration, results are presented for examples that employ divergence-conforming basis functions with the EFIE and curl-conforming basis functions with the MFIE. The intended audience includes electromagnetic engineers with some previous familiarity with numerical techniques.

Scientific and Technical Aerospace Reports
  • Language: en
  • Pages: 496

Scientific and Technical Aerospace Reports

  • Type: Book
  • -
  • Published: 1987
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  • Publisher: Unknown

None

Supreme Court, State of New York  Appellate Division-Third Department
  • Language: en
  • Pages: 876

Supreme Court, State of New York Appellate Division-Third Department

  • Type: Book
  • -
  • Published: Unknown
  • -
  • Publisher: Unknown

None

Descendants of Elisha Hulce
  • Language: en
  • Pages: 404

Descendants of Elisha Hulce

Contains the researched history of the Hulce surname in America and is designed to be the comprehensive genealolgy on the Hulces in America.

New York Court of Appeals. Records and Briefs.
  • Language: en
  • Pages: 1060

New York Court of Appeals. Records and Briefs.

  • Categories: Law
  • Type: Book
  • -
  • Published: 1952
  • -
  • Publisher: Unknown

Volume contains: need index past index 6 (Matter of Lipschutz) need index past index 6 (Matter of Lipschutz) need index past index 6 (Lynes v. Debenedictus) need index past index 6 (Lynes v. Debenedictus) need index past index 6 (Lynes v. Debenedictus) need index past index 6 (Mahar v. City of Albany) need index past index 6 (Mahar v. City of Albany) need index past index 6 (Mahar v. City of Albany) need index past index 6 (Meadow Brook Nat'l Bank of Freeport v. Ferkin) need index past index 6 (Meadow Brook Nat'l Bank of Freeport v. Ferkin) need index past index 6 (Meadow Brook Nat'l Bank of Freeport v. Ferkin) need index past index 6 (Matter of Metropole Somerset Café v. O'Connell) need in...

Accurate Computation of Mathieu Functions
  • Language: en
  • Pages: 123

Accurate Computation of Mathieu Functions

This lecture presents a modern approach for the computation of Mathieu functions. These functions find application in boundary value analysis such as electromagnetic scattering from elliptic cylinders and flat strips, as well as the analogous acoustic and optical problems, and many other applications in science and engineering. The authors review the traditional approach used for these functions, show its limitations, and provide an alternative "tuned" approach enabling improved accuracy and convergence. The performance of this approach is investigated for a wide range of parameters and machine precision. Examples from electromagnetic scattering are provided for illustration and to show the convergence of the typical series that employ Mathieu functions for boundary value analysis.

Proceedings
  • Language: en
  • Pages: 1572

Proceedings

  • Type: Book
  • -
  • Published: 1994
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  • Publisher: Unknown

None

SAMPE Quarterly
  • Language: en
  • Pages: 396

SAMPE Quarterly

  • Type: Book
  • -
  • Published: 1978
  • -
  • Publisher: Unknown

None

Transactions
  • Language: en
  • Pages: 1002

Transactions

  • Type: Book
  • -
  • Published: 1964
  • -
  • Publisher: Unknown

None