Iterative Methods for Calculating Static Fields and Wave Scattering by Small Bodies

Iterative Methods for Calculating Static Fields and Wave Scattering by Small Bodies [electronic resource] / by Alexander G. Ramm.

Show other versions (1)

Iterative methods for calculating static fields are presented in this book. Static field boundary value problems are reduced to the boundary integral equations and these equations are solved by means of iterative processes. This is done for interior and exterior problems and for var­ ious boundary c...

Full description

Saved in:
Bibliographic Details
Online Access: Full Text (via Springer)
Main Author: Ramm, A. G. (Alexander G.)
Format: Electronic eBook
Language:English
Published: New York, NY : Springer New York, 1982.
Subjects:
Physics.
Quantum theory.
Table of Contents:
  • 1. Basic Problems
  • §1. Statement of the Electrostatic Problems for Perfect Conductors
  • §2. Statement of the Basic Problem for Dielectric Bodies
  • §3. Reduction of the Basic Problems to Fredholm's Integral Equations of the Second Kind
  • §4. Reduction of the Static Problems to Fredholm's Integral Equations of the First Kind
  • 2. Iterative Processes6 for Solving Fredholm's Integral Equations for the Static Problems
  • §1. An Iterative Process for Solving the Problem of Equilibrium Charge Distribution and Charge Distribution on a Conductor Placed in an Exterior Static Field
  • §2. An Iterative Process for Solving the Problem of Dielectric Bodies in an Exterior Static Field
  • §3. A Stable Iterative Process for Finding the Equilibrium Charge Distribution
  • §4. An Iterative Process for Calculating the Equilibrium Charge Distribution on the Surface of a Screen
  • 3. Calculating Electric Capacitance
  • §1. Capacitance of Solid Conductors and Screens
  • §2. Variational Principles and Two-Sided Estimates of Capacitance
  • §3. Capacitance of Conductors in an Anisotropic and Nonhomogeneous Medium
  • §4. Physical Analogues of Capacitance
  • §5. Calculating the Potential Coefficients
  • 4. Numerical Examples
  • §1. Introduction
  • §2. Capacitance of a Circular Cylinder
  • §3. Capacitance of a Parallelepiped of Arbitrary Shape
  • §4. Interaction Between Conductors
  • 5. Calculating the Polarizability Tensor
  • §1. Calculating the Polarizability Tensor of a Solid body
  • §2. The Polarizability Tensor of a Thin Metallic Screen
  • §3. The Polarizability Tensors of a Flaky-Homogeneous Body or a System of Bodies
  • §4. Variational Principles for Polarizability
  • 6. Iterative Methods of Solving some Integral Equations Basic in the Theory of Static Fields: Mathematical Results
  • §1. Iterative Methods of Solving the Fredholm Equations of the Second Kind at a Characteristic Value
  • §2. Iterative Processes for Solving Some Operator Equations
  • §3. Iterative Processes for Solving the Exterior and Interior Boundary Value Problems
  • §4. An Iterative Process for Solving the Fredholm Integral Equations of the First Kind with Pointwise Positive Kernel
  • 7. Wave Scattering by Small Bodies
  • §1. Introduction
  • §2. Scalar Wave Scattering: The Single-Body Problem
  • §3. Scalar Wave Scattering: The Many-Body Problem
  • §4. Electromagnetic Wave Scattering
  • §5. Radiation from Small Apertures and the Skin Effect for Thin Wires
  • §6. The Inverse Problem of Radiation Theory
  • Problems
  • Bibliographical Notes
  • List of Symbols.

Similar Items