The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
Copyrights notice
The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
Satu rumusan baru untuk pendekatan medan skalar bagi rumusan Persamaan Kamiran bagi Persamaan Invarian Terukur (SIE-MEI) diperoleh daripada hubungan timbal balik skalar untuk menyelesaikan persamaan Helmholtz skalar. Asas formulasi ini adalah serupa dengan kaedah IE-MEI untuk masalah elektromagnet (EM). Persamaan kamiran permukaan diperoleh daripada hubungan timbal balik dan postulat MEI pada permukaan digunakan. Akibatnya ia menghasilkan sistem linear yang jarang dengan bilangan yang tidak diketahui yang sama seperti Kaedah Elemen Sempadan (BEM) dan mengekalkan merit dalam keperluan memori storan minimum dan penggunaan masa CPU untuk pengiraan matriks akhir. Kaedah IE-MEI telah dicadangkan untuk masalah elektromagnet dua dimensi (2D), tetapi masalah tiga dimensi (3D) adalah sangat sukar untuk dilanjutkan. Pendekatan medan skalar kaedah IE-MEI adalah sama dengan elektromagnet dalam 2D, tetapi mudah dilanjutkan kepada masalah serakan medan skalar 3D yang bertentangan dengan masalah EM. Keputusan berangka sfera dan kubus disahkan dengan beberapa penyelesaian yang ketat atau berangka, yang memberikan persetujuan yang sangat baik.
The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.
Salinan
N. M. Alam CHOWDHURY, Jun-ichi TAKADA, Masanobu HIROSE, "Novel Formulation for the Scalar-Field Approach of IE-MEI Method to Solve the Three-Dimensional Scattering Problem" in IEICE TRANSACTIONS on Fundamentals,
vol. E85-A, no. 8, pp. 1905-1912, August 2002, doi: .
Abstract: A novel formulation for the Scalar-field approach of Integral Equation formulation of the Measured Equation of Invariance (SIE-MEI) is derived from the scalar reciprocity relation to solve the scalar Helmholtz equation. The basics of this formulation are similar to IE-MEI method for the electromagnetic (EM) problem. The surface integral equation is derived from reciprocity relation and on-surface MEI postulates are used. As a result it generates a sparse linear system with the same number of unknowns as of Boundary Element Method (BEM) and keeps the merits in minimum storage memory requirements and CPU time consumption for computing the final matrix. IE-MEI method has been proposed for two-dimensional (2D) electromagnetic problem, but three-dimensional (3D) problem is very difficult to be extend. This scalar-field approach of IE-MEI method is identical to electromagnetic in 2D, but easily extended to the 3D scalar-field scattering problem contrary to EM problem. The numerical results of sphere and cube are verified with some rigorous or numerical solutions, which give excellent agreement.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e85-a_8_1905/_p
Salinan
@ARTICLE{e85-a_8_1905,
author={N. M. Alam CHOWDHURY, Jun-ichi TAKADA, Masanobu HIROSE, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Novel Formulation for the Scalar-Field Approach of IE-MEI Method to Solve the Three-Dimensional Scattering Problem},
year={2002},
volume={E85-A},
number={8},
pages={1905-1912},
abstract={A novel formulation for the Scalar-field approach of Integral Equation formulation of the Measured Equation of Invariance (SIE-MEI) is derived from the scalar reciprocity relation to solve the scalar Helmholtz equation. The basics of this formulation are similar to IE-MEI method for the electromagnetic (EM) problem. The surface integral equation is derived from reciprocity relation and on-surface MEI postulates are used. As a result it generates a sparse linear system with the same number of unknowns as of Boundary Element Method (BEM) and keeps the merits in minimum storage memory requirements and CPU time consumption for computing the final matrix. IE-MEI method has been proposed for two-dimensional (2D) electromagnetic problem, but three-dimensional (3D) problem is very difficult to be extend. This scalar-field approach of IE-MEI method is identical to electromagnetic in 2D, but easily extended to the 3D scalar-field scattering problem contrary to EM problem. The numerical results of sphere and cube are verified with some rigorous or numerical solutions, which give excellent agreement.},
keywords={},
doi={},
ISSN={},
month={August},}
Salinan
TY - JOUR
TI - Novel Formulation for the Scalar-Field Approach of IE-MEI Method to Solve the Three-Dimensional Scattering Problem
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1905
EP - 1912
AU - N. M. Alam CHOWDHURY
AU - Jun-ichi TAKADA
AU - Masanobu HIROSE
PY - 2002
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E85-A
IS - 8
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - August 2002
AB - A novel formulation for the Scalar-field approach of Integral Equation formulation of the Measured Equation of Invariance (SIE-MEI) is derived from the scalar reciprocity relation to solve the scalar Helmholtz equation. The basics of this formulation are similar to IE-MEI method for the electromagnetic (EM) problem. The surface integral equation is derived from reciprocity relation and on-surface MEI postulates are used. As a result it generates a sparse linear system with the same number of unknowns as of Boundary Element Method (BEM) and keeps the merits in minimum storage memory requirements and CPU time consumption for computing the final matrix. IE-MEI method has been proposed for two-dimensional (2D) electromagnetic problem, but three-dimensional (3D) problem is very difficult to be extend. This scalar-field approach of IE-MEI method is identical to electromagnetic in 2D, but easily extended to the 3D scalar-field scattering problem contrary to EM problem. The numerical results of sphere and cube are verified with some rigorous or numerical solutions, which give excellent agreement.
ER -