The finite element method in electromagnetics / Jianming Jin.

Format:

Book

Author/Creator:

Jin, Jian-Ming, 1962-

Language:

English

Subjects (All):

Electromagnetism.

Finite element method.

Physical Description:

xix, 442 pages : illustrations ; 24 cm

Place of Publication:

New York : Wiley, [1993]

Summary:

While the finite element method has been used to analyze electromagnetic problems for nearly three decades, practicing engineers have been without a comprehensive reference that could provide guidance on its application to the full range of problems they will confront in the course of their work, including those in the area of electromagnetic scattering and radiation. Jianming Jin's new book answers the need for such thorough, one-stop coverage, offering engineers a methodical way to quickly master this very powerful technique for solving practical, often complicated engineering problems. The Finite Element Method in Electronmagnetics provides the first systematic treatment of this numerical analysis technique for electromagnetics, including a brief review of the two classic methods - the Ritz variational method and Galerkin's method - which form the foundation of the finite element method. The book employs an example to introduce the concept of the finite element method and describes the essential steps of the technique without reference to any specific problem, laying the groundwork for a broad-based understanding of the finite element method's usefulness. The book goes on to describe the finite element analysis of one-, two-, and three-dimensional problems. For each class of problems, a rigorous finite element solution is developed in general form, from which the solution to specific problems can be deduced. In presenting these problems in this unique way, engineers clearly see that the method developed can be applied to a variety of different problems, rather than just to specific ones. The Finite Element Method in Electromagnetics is also the only book of its kind to discuss: . Thelatest recent developments of the finite element method in electromagnetics - included is coverage of finite element-absorbing boundary condition methods, finite element-boundary integral methods, and finite element-eigenfunction expansion methods. In dealing with these hybrid methods, the book becomes the first reference to clearly address one of the most difficult aspects of electromagnetic scattering and radiation problems - open regions or open boundaries. Variational principles - the book devotes an entire chapter to the variational principles used to establish the functionals required for variational finite element formulations. It shows how simple and useful these principles can be when applied to electromagnetic problems. Vector finite elements - included are various two- and three-dimensional edge elements, a new type of finite element that will lead to a new era in the finite element analysis of electromagnetics. The application of the finite element method to the full range of electromagnetic problems - the book encompasses scalar and vector fields as well as static and time-harmonic cases. It addresses problems such as electro- and magnetostatic field computations, waveguide and cavity characterization. and scattering and radiation analysis. Coverage is aided by numerous examples - most of which were carried out by the author - that help to underscore the accuracy and capability of various methods. More current and wide-ranging in its coverage, more accessible in its treatment of traditionally difficult material, and more systematic in its presentation of this major analytical tool than any other book of its kind on the market today, The Finite Element Method inElectromanetics is an essential tool for electrical engineers and invaluable reading for researchers in the field of computational electromagnetics.

Notes:

Includes bibliographical references and index.

ISBN:

0471586277

OCLC:

26504797