Book description
Readers are guided step by step through numerous specific problems and challenges, covering all aspects of electrostatics with an emphasis on numerical procedures. The author focuses on practical examples, derives mathematical equations, and addresses common issues with algorithms. Introduction to Numerical Electrostatics contains problem sets, an accompanying web site with simulations, and a complete list of computer codes.
Computer source code listings on accompanying web site
Problem sets included with book
Readers using MATLAB or other simulation packages will gain insight as to the inner workings of these packages, and how to account for their limitations
Example computer code is provided in MATLAB
Solutions Manual
The first book of its kind uniquely devoted to the field of computational electrostatics
Table of contents
- Cover
- Title page
- Copyright page
- Preface
- Introduction
- Acknowledgments
-
1 A Review of Basic Electrostatics
- 1.1 Charge, Force, and the Electric Field
- 1.2 Electric Flux Density and Gauss’s Law
- 1.3 Conductors
- 1.4 Potential, Gradient, and Capacitance
- 1.5 Energy in the Electric Field
- 1.6 Poisson’s and Laplace’s Equations
- 1.7 Dielectric Interfaces
- 1.8 Electric Dipoles
- 1.9 The Case for Approximate Numerical Analysis
- Problems
- 2 The Uses of Electrostatics
- 3 Introduction to the Method of Moments Technique for Electrostatics
- 4 Examples Using the Method of Moments
- 5 Symmetries, Images, and Dielectrics
-
6 Triangles
- 6.1 Introduction to Triangular Cells
- 6.2 Right Triangles
- 6.3 Calculating Li,i (Self) Coefficients
- 6.4 Calculating Li,j FOR i ≠j
- 6.5 Basic Meshing and Data Formats for Triangular Cell MoM Programs
- 6.6 Using MATLAB to Generate Triangular Meshings
- 6.7 Calculating Voltages
- 6.8 Calculating the Electric Field
- 6.9 Three-Dimensional Structures
- 6.10 Charge Profiles
- Problems
- 7 Summary and Overview
- 8 The Finite Difference Method
-
9 Refining the Finite Difference Method
- 9.1 Refined Grids
- 9.2 Arbitrary Conductor Shapes
- 9.3 Mixed Dielectric Regions and a New Derivation of the Finite Difference Equation
- 9.4 Example: Structure with a Dielectric Interface
- 9.5 Axisymmetric Cylindrical Coordinates
- 9.6 Symmetry Boundary Condition
- 9.7 Duality, and Upper and Lower Bounds to Solutions for Transmission Lines
- 9.8 Extrapolation
- 9.9 Three-Dimensional Grids
- Problems
- 10 Multielectrode Systems
- 11 Probabilistic Potential Theory
-
12 The Finite Element Method (FEM)
- 12.1 Introduction
- 12.2 Solving Laplace’s Equation by Minimizing Stored Energy
- 12.3 A Simple One-Dimensional Example
- 12.4 A Very Simple Finite Element Approximation
- 12.5 Arbitrary Number of Lines Approximation
- 12.6 Mixed Dielectrics
- 12.7 A Quadratic Approximation
- 12.8 A Simple Two-Dimensional FEM Program
- Problems
- 13 Triangles and Two-Dimensional Unstructured Grids
- 14 A Zoning System and Some Examples
- 15 Some FEM Topics
- 16 FEM in Three Dimensions
- 17 Electrostatic Forces
- A Interfacing with Other Languages
- Index
- Eula
Product information
- Title: Introduction to Numerical Electrostatics Using MATLAB
- Author(s):
- Release date: April 2014
- Publisher(s): Wiley-IEEE Press
- ISBN: 9781118449745
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