Finite elements for electrical engineers

This third edition of the principal text on the finite element method for electrical engineers and electronics specialists presents the method in a mathematically undemanding style, accessible to undergraduates who may be encountering it for the first time. Like the earlier editions, it begins by deriving finite elements for the simplest familiar potential fields, then advances to formulate finite elements for a wide range of applied electromagnetics problems. These include wave propagation, diffusion, and static fields; open-boundary problems and nonlinear materials; axisymmetric, planar and fully three-dimensional geometries; scalar and vector fields. This new edition is more than half as long again as its predecessor, with original material extensively revised and much new material added. As well as providing all that is needed for the beginning undergraduate student, this textbook is also a valuable reference text for professional engineers and research students. A wide selection of demonstration programs allows the reader to follow the practical use of the methods. Frontmatter......Page 1 Contents......Page 7 Preface to the third edition......Page 17 Preface to the first edition......Page 18 1 - Finite elements in one dimension......Page 19 2 - First-order triangular elements for potential problems......Page 46 3 - Electromagnetics of finite elements......Page 86 4 - Simplex elements for the scalar Helmholtz equation......Page 144 5 - Differential operators in ferromagnetic materials......Page 201 6 - Finite elements for integral operators......Page 240 7 - Curvilinear, vectorial and unbounded elements......Page 287 8 - Time and frequency domain problems in bounded systems......Page 362 9 - Unbounded radiation and scattering......Page 422 10 - Numerical solution of finite element equations......Page 448 Appendix 1 - Calculations on simplex elements......Page 474 Appendix 2 - Integration by parts, Green's theorems and Green's functions......Page 477 Appendix 3 - Simplex element tables......Page 482 Appendix 4 - Utility programs and style notes......Page 490 Appendix 5 - Laboratory problems and exercises......Page 496 Index......Page 507 This third edition of the principal text on the finite element method for electrical engineers and electronics specialists presents the method in a mathematically undemanding style, accessible to undergraduates who may be encountering it for the first time. Like the earlier editions, it begins by deriving finite elements for the simplest familiar potential fields, and then formulates finite elements for a wide range of applied electromagnetics problems. These include wave propagation, diffusion, and static fields; open-boundary problems and nonlinear materials; axisymmetric, planar and fully three-dimensional geometries; and scalar and vector fields. A wide selection of demonstration programs allows the reader to follow the practical use of the methods. Besides providing all that is needed for the beginning undergraduate student, this textbook is also a valuable reference text for professional engineers and research students. This is the third edition of the principal text on the finite element method, which has become a major solution technique for problems of engineering electromagnetics. It presents the method in a mathematically undemanding style, accessible to undergraduates who may be encountering it for the first time, but the scope is sufficiently broad as to be equally suitable for use by graduate and professional engineers. The finite element method has become a major numerical solution technique for electrical engineers and electronics specialists. This book presents the method in a mathematically easy-going style accessible to undergraduates, but also reaches out toward the research forefront far enough to be highly suitable for professional engineers and research students. Like the earlier editions, this text begins by deriving finite elements for the simplest familiar potential fields, then advances to formulate finite elements for a wide range of applied electromagnetics problems. A wide selection of demonstration programs allows the reader to follow the practical use of the methods.