Field Solutions on Computers [With Windows 95 Application]

ISBN-13: 9780849316685 / Angielski / Twarda / 1997 / 304 str.

JR. Stanley Humphries

Opis

Field Solutions on Computers covers a broad range of practical applications involving electric and magnetic fields. The text emphasizes finite-element techniques to solve real-world problems in research and industry. After introducing numerical methods with a thorough treatment of electrostatics, the book moves in a structured sequence to advanced topics. These include magnetostatics with non-linear materials, permanent magnet devices, RF heating, eddy current analysis, electromagnetic pulses, microwave structures, and wave scattering. The mathematical derivations are supplemented with chapter exercises and comprehensive reviews of the underlying physics. The book also covers essential supporting techniques such as mesh generation, interpolation, sparse matrix inversions, and advanced plotting routines.

Spis treści

IntroductionOverviewThe Load AheadSome PrecautionsFinite-Element Electrostatic EquationsCoulomb's LawGauss's Law and Charge DensityDifferential Equations for Electrostatic FieldsCharge Density Distributions and Dielectric MaterialsFinite ElementsCoordinate Relationships for TrianglesGauss's Law for Elements at a Vertex PointSolution Procedure and Boundary ConditionsElectrostatics in Cylindrical CoordinatesExercisesMinimum-Energy Principles in ElectrostaticsElectrostatic Field EnergyElements of the Calculus of VariationsPoisson Equation As a Condition of Minimum EnergyFinite-Element Equations for Two-Dimensional ElectrostaticsThree-Dimensional Finite-Element Electrostatics on Arbitrary MeshesHigher-Order Finite-Element FormulationsExercisesFinite-Difference Solutions and Regular MeshesDifference OperatorsInitial Value Solutions of Ordinary Differential EquationsOne-Dimensional Poisson EquationSolution of the Poisson Equation by Back-SubstitutionTwo-Dimensional Electrostatic Solutions on a Regular MeshThree-Dimensional Electrostatic Solutions on a Regular MeshExercisesTechniques for Numerical Field SolutionsRegular Meshes in Three DimensionsTwo-Dimensional Conformal Triangular MeshesFitting Triangular Elements to Physical BoundariesNeumann Boundaries in Resistive MediaBoundary Value solutions by Successive Over-RelaxationExercisesMatrix Methods for Field SolutionsIntroductionGauss-Jordan EliminationSolving Tridiagonal MatricesMatrix Solutions for One-Dimensional ElectrostaticsMatrices for Two-Dimensional Finite-Element SolutionsSolving Tridiagonal Block Matrix ProblemsExercisesAnalyzing Numerical SolutionsLocating ElementsGeneralized Least-Square FitsField Calculations on a Two-Dimensional Triangular MeshMesh and Boundary PlotsContour, Element, Elevation, and Field Line PlotsExercisesNonlinear and Anisotropic MaterialsIterative Solutions to Boundary Value ProblemsNumerical Data for Material PropertiesFinite-Element Equations for Anisotropic MaterialsSteady-State Gas FlowExercisesFinite-Element Magnetostatic SolutionsDifferential and Integral Magnetostatic EquationsVector Potential and Field Equations in Two DimensionsIsotropic Magnetic MaterialsFinite-Element Magnetostatic EquationsMagnetic Field SolutionsProperties of Permanent Magnet MaterialsMagnetostatic Solutions with Permanent MagnetsExercisesStatic Field Analysis and ApplicationsVolume and Surface Integrals on a Finite-Element MeshElectric and Magnetic Field EnergyCapacitance CalculationsInductance CalculationsElectric and Magnetic Forces on MaterialsCharged-Particle OrbitsElectron and Ion GunsGeneralized Neumann Boundaries - Hall Effect DevicesExercisesLow-Frequency Electric and Magnetic FieldsMaxwell EquationsComplex Numbers for Harmonic QuantitiesElectric Field Equations in Resistive MediaElectric Field Solutions with Complex Number PotentialsMagnetic Fields with Eddy CurrentsExercisesThermal Transport and Magnetic Field DiffusionThermal Transport EquationFinite-Difference Solution of the Diffusion EquationFinite-Element Diffusion SolutionsInstabilities in Finite-Element Diffusion SolutionsMagnetic Field DiffusionExercisesElectromagnetic Fields in One DimensionPlanar Electromagnetic WavesTime-Domain Electromagnetism in One DimensionElectromagnetic Pulse SolutionsFrequency-Domain EquationsScattering SolutionsOne-Dimensional Resonant ModesExercisesTwo- and Three-Dimensional Electromagnetic SimulationsIntroductionTime-Domain Equations on a Conformal MeshElectromagnetic Pulse SolutionsFrequency-Domain EquationsMethods for Scattering SolutionsWaveguides and Resonant CavitiesPower Losses and Q FactorsFinite-Difference Time-Domain Method in Three DimensionsThree-Dimensional Element-Based Time-Domain EquationsExercisesBibliographyIndex

O autorze

Humphries\, Jr.\, Stanley