NDLI: Unified boundary integral equation and unified boundary element equation

Content Provider	IEEE Xplore Digital Library
Author	Yuan Jiansheng Xie Xi Shao Hanguang
Copyright Year	1965
Abstract	Using functional analysis, a generalized operator equation is devised to describe almost all the boundary-value problems of various physical disciplines such as electrodynamics, solid mechanics, fluid mechanics, thermodynamics, etc. From the generalized operator equation, a unique unified boundary integral equation is developed which represents almost all the boundary integral equations of these various physical discipline. From the unified boundary integral equation, by discretization, follows a unique boundary-element equation which represents almost all the boundary-element equations of the various physical disciplines. A number of practical examples in electrodynamics, solid mechanics, fluid mechanics, and thermodynamics are worked out in detail to illustrate this powerful tool of the unified theory, which can be used to study various disciplines by the BEM (boundary-element method) systematically and to develop a BEM expert system.<>
Sponsorship	IEEE Magnetics Society
Starting Page	599
Ending Page	602
Page Count	4
File Size	368393
File Format	PDF
ISSN	00189464
Volume Number	26
Issue Number	2
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1990-03-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Integral equations Physics computing Computer aided instruction Functional analysis Thermodynamics Boundary value problems Electrodynamics Solids Expert systems Artificial intelligence
Content Type	Text
Resource Type	Article
Subject	Electronic, Optical and Magnetic Materials Electrical and Electronic Engineering

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Accuracy limit due to discretization in the boundary element method

Efficient techniques for boundary integral equation methods

Nonlinear shape design sensitivity analysis of magnetostatic problems using boundary element method

Accuracy Improvement of Inner-Point Formula in Three-Dimensional BEM

Application of boundary integral equation methods to electromagnetics

Improvement of Unified Boundary Integral Equation Method in Magnetostatic Shielding Analysis

Performance Improvement of Extended Boundary Node Method

Efficient integral equation method for the solution of 3-D magnetostatic problems

Boundary-Integral method for calculating poloidal axisymmetric AC magnetic fields

Unified boundary integral equation and unified boundary element equation

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Efficient techniques for boundary integral equation methods

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Accuracy Improvement of Inner-Point Formula in Three-Dimensional BEM

Application of boundary integral equation methods to electromagnetics

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