I-BIEM. An Iterative Boundary Integral Equation Method for Computer Solutions of Current Distribution Problems with Complex Boundaries—A New Algorithm I. Theoretical

B. D. Cahan; Daniel Alberto Scherson

doi:10.1149/1.2095602

I-BIEM. An Iterative Boundary Integral Equation Method for Computer Solutions of Current Distribution Problems with Complex Boundaries—A New Algorithm I. Theoretical

B. D. Cahan, Daniel Alberto Scherson

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

A new algorithm for an iterative computation of solutions of Laplace's or Poisson's equations in two dimensions using Green's second identity is presented. This algorithm converges strongly and geometrically and can be applied to curved, irregular, or moving boundaries with nonlinear and/or discontinuous boundary conditions. It has been implemented in Pascal on a number of micro-and minicomputers and applied to several geometries. Cases with known analytic solutions have been tested. Convergence to within 0.1% to 0.01% of the theoretical values are obtained in a few minutes on a microcomputer.

Original language	English
Pages (from-to)	285-293
Number of pages	9
Journal	Journal of the Electrochemical Society
Volume	135
Issue number	2
DOIs	https://doi.org/10.1149/1.2095602
Publication status	Published - 1988 Jan 1
Externally published	Yes

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Renewable Energy, Sustainability and the Environment
Surfaces, Coatings and Films
Electrochemistry
Materials Chemistry

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

Access to Document

10.1149/1.2095602

Cite this

@article{a7f7536d16d343adbf577f25b6fefb47,

title = "I-BIEM. An Iterative Boundary Integral Equation Method for Computer Solutions of Current Distribution Problems with Complex Boundaries—A New Algorithm I. Theoretical",

abstract = "A new algorithm for an iterative computation of solutions of Laplace's or Poisson's equations in two dimensions using Green's second identity is presented. This algorithm converges strongly and geometrically and can be applied to curved, irregular, or moving boundaries with nonlinear and/or discontinuous boundary conditions. It has been implemented in Pascal on a number of micro-and minicomputers and applied to several geometries. Cases with known analytic solutions have been tested. Convergence to within 0.1% to 0.01% of the theoretical values are obtained in a few minutes on a microcomputer.",

author = "Cahan, {B. D.} and Scherson, {Daniel Alberto}",

year = "1988",

month = jan,

day = "1",

doi = "10.1149/1.2095602",

language = "English",

volume = "135",

pages = "285--293",

journal = "Journal of the Electrochemical Society",

issn = "0013-4651",

publisher = "Electrochemical Society, Inc.",

number = "2",

}

TY - JOUR

T1 - I-BIEM. An Iterative Boundary Integral Equation Method for Computer Solutions of Current Distribution Problems with Complex Boundaries—A New Algorithm I. Theoretical

AU - Cahan, B. D.

AU - Scherson, Daniel Alberto

PY - 1988/1/1

Y1 - 1988/1/1

N2 - A new algorithm for an iterative computation of solutions of Laplace's or Poisson's equations in two dimensions using Green's second identity is presented. This algorithm converges strongly and geometrically and can be applied to curved, irregular, or moving boundaries with nonlinear and/or discontinuous boundary conditions. It has been implemented in Pascal on a number of micro-and minicomputers and applied to several geometries. Cases with known analytic solutions have been tested. Convergence to within 0.1% to 0.01% of the theoretical values are obtained in a few minutes on a microcomputer.

AB - A new algorithm for an iterative computation of solutions of Laplace's or Poisson's equations in two dimensions using Green's second identity is presented. This algorithm converges strongly and geometrically and can be applied to curved, irregular, or moving boundaries with nonlinear and/or discontinuous boundary conditions. It has been implemented in Pascal on a number of micro-and minicomputers and applied to several geometries. Cases with known analytic solutions have been tested. Convergence to within 0.1% to 0.01% of the theoretical values are obtained in a few minutes on a microcomputer.

UR - http://www.scopus.com/inward/record.url?scp=0023962607&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0023962607&partnerID=8YFLogxK

U2 - 10.1149/1.2095602

DO - 10.1149/1.2095602

M3 - Article

AN - SCOPUS:0023962607

SN - 0013-4651

VL - 135

SP - 285

EP - 293

JO - Journal of the Electrochemical Society

JF - Journal of the Electrochemical Society

IS - 2

ER -

I-BIEM. An Iterative Boundary Integral Equation Method for Computer Solutions of Current Distribution Problems with Complex Boundaries—A New Algorithm I. Theoretical

Abstract

ASJC Scopus subject areas

UN SDGs

Access to Document

Other files and links

Fingerprint

Cite this