UID:
almafu_9960119347002883
Umfang:
1 online resource (xvi, 494 pages) :
,
digital, PDF file(s).
Ausgabe:
Third edition.
ISBN:
1-316-04375-4
,
1-139-17061-9
Inhalt:
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.
Anmerkung:
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
,
Cover -- Frontmatter -- Contents -- Preface to the third edition -- Preface to the first edition -- Finite elements in one dimension -- 1. Introduction -- 2. A direct-current transmission line -- 3. The finite element approach -- 4. Global minimization -- 5. A Fortran program -- 6. Further reading -- 7. Bibliography -- 8. Programs -- First-order triangular elements for potential problems -- 1. Introduction -- 2. Laplace's equation -- 3. Inhomogeneous sources and materials -- 4. Program construction issues -- 5. A sample program -- 6. Further reading -- 7. Bibliography -- 8. Programs -- Electromagnetics of finite elements -- 1. Introduction -- 2. Maxwell's equations -- 3. Waves and potentials -- 4. Functionals over potentials and fields -- 5. Projective solutions -- 6. Two-dimensional field problems -- 7. Magnetic scalar potentials -- 8. Further reading -- 9. Bibliography -- Simplex elements for the scalar Helmholtz equation -- 1. Introduction -- 2. Interpolation functions in simplex coordinates -- 3. General simplex elements -- 4. A high-order finite element computer program -- 5. Embeddings, projections, and their uses -- 6. Tetrahedral elements -- 7. Further reading -- 8. Bibliography -- 9. Programs -- Differential operators in ferromagnetic materials -- 1. Introduction -- 2. Functional minimization for magnetic fields -- 3. Solution by simple iteration -- 4. Solution by Newton iteration -- 5. A magnetic analysis program -- 6. Analysis of a DC machine -- 7. Anisotropic materials -- 8. Further reading -- 9. Bibliography -- 10. Programs -- Finite elements for integral operators -- 1. Introduction -- 2. One-dimensional finite elements for electrostatics -- 3. Green's function for a dielectric slab -- 4. A strip transmission-line program -- 5. Integral equations in magnetostatics -- 6. Integral operators in antenna theory.
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7. Surface-patch modelling for scattering and radiation -- 8. Further reading -- 9. Bibliography -- 10. Programs -- Curvilinear, vectorial and unbounded elements -- 1. Introduction -- 2. Rectangular elements -- 3. Quadrilaterals and hexahedra -- 4. Isoparametric elements -- 5. Vector-based simplexes -- 6. Vector-based hexahedra -- 7. Spurious modes -- 8. Corner singularity elements -- 9. Recursive methods for infinite finite elements -- 10. Exterior mappings -- 11. Further reading -- 12. Bibliography -- 13. Programs -- Time and frequency domain problems in bounded systems -- 1. Introduction -- 2. Eddy currents -- 3. Eddy-current analysis using vector potential -- 4. Weak formulation of the A, V-P problem -- 5. Eddy-current analysis using the field variables directly -- 6. Solution of transient eddy-current problems by time-stepping -- 7. Guided waves -- 8. TEM-mode waveguide analysis by finite elements -- 9. Analysis of the general waveguide by finite element methods -- 10. Spatially periodic waveguides -- 11. Cavity resonators -- 12. Further reading -- 13. Bibliography -- Unbounded radiation and scattering -- 1. Introduction -- 2. Finite element treatment of the inhomogeneous region -- 3. Boundary integral treatment of the exterior region -- 4. The hybrid FEM/BEM procedure -- 5. Absorbing boundary conditions for vector wavefields -- 6. Fictitious absorbers -- 7. Further reading -- 8. Bibliography -- Numerical solution of finite element equations -- 1. Introduction -- 2. Gaussian elimination methods -- 3. Compact storage of matrices -- 4. Iterative and semi-iterative solvers -- 5. Further reading -- 6. Bibliography -- Calculations on simplex elements -- 1. Integration in homogeneous coordinates -- 2. The cotangent identity -- Integration by parts, Green's theorems and Green's functions -- 1. Scalar one-dimensional formula.
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2. Vector integration by parts -- 3. Green's theorems -- 4. Green's functions for the free-space wave equations -- Simplex element tables -- 1. Introduction -- 2. Line-segment matrices -- 3. Triangle matrices -- 4. Tetrahedron matrices -- Utility programs and style notes -- 1. Introduction -- 2. Input-data arrangements -- 3. Utility programs -- Laboratory problems and exercises -- 1. Introduction -- 2. Laboratory working procedures -- 3. Laboratory exercises -- Index.
,
English
Weitere Ausg.:
ISBN 0-521-44953-7
Weitere Ausg.:
ISBN 0-521-44505-1
Sprache:
Englisch
URL:
https://doi.org/10.1017/CBO9781139170611
