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A variational approach to boundary elements—two-dimensional Laplace problem

✍ Scribed by Y. Sun; Y. Kagawa; T. Murai

Publisher
John Wiley and Sons
Year
1994
Tongue
English
Weight
580 KB
Volume
7
Category
Article
ISSN
0894-3370

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✦ Synopsis

Abstract

Variational boundary element formulations are developed. Two functionals based on the dual and complementary energy approach are considered, which provide the upper and lower bound of the solution. Calculated examples of electrostatic fields are demonstrated for their field distributions and capacitances. Validity and the solution accuracy are discussed in comparison with the conventional boundary element solution.

📜 SIMILAR VOLUMES

A variational approach to boundary eleme
A variational approach to boundary elements—two dimensional Helmholtz problems
✍ Y. Kagawa; Y. Sun; L. Chai 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 269 KB

## Abstract The boundary element method is a discretized version of the boundary integral equation method. The variational formulation is presented for the boundary element approach to Helmholtz problems. The numerical calculation of the eigenvalues in association with hollow waveguides demonstrate

Regular boundary integral solution with
Regular boundary integral solution with dual and complementary variational formulations applied to two-dimensional Laplace problems
✍ Y. Sun; Y. Kagawa 📂 Article 📅 1995 🏛 John Wiley and Sons 🌐 English ⚖ 532 KB

Regular boundary integral elements are employed for the dual and complementary variational formulations of Laplace problems. The problems are defined only on the boundary as usual, but as in the manner of charge simulation method (CSM), the source terms are arranged outside the domain so that the si