Analytic Potentials for Realistic Electrodes

Abstract

We show how LaPlace's equation can be accurately solved when the boundary conditions are not amenable to direct analytic treatment. This problem arises for nearly all real electrodes. Our approach systematically combines numerical relaxation techniques with analytic expansions to produce a provably unique solution.

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Document Details

Document Type
Technical Report
Publication Date
Jun 24, 2002
Accession Number
ADP012552

Entities

People

  • A. E. Taylor
  • K. Swanson
  • S. E. Barlow

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Bessel Functions
  • Boundaries
  • Boundary Value Problems
  • Coefficients
  • Coordinate Systems
  • Differential Equations
  • Electrodes
  • Equations
  • Geometry
  • Grids
  • Ion Traps
  • Partial Differential Equations
  • Symmetry
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  • World Wide Web

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Materials Science and Engineering.