SPARSE-MATRIX EIGENVALUE SOLVER FOR FINITE-ELEMENT SOLUTION OF DIELECTRIC WAVE-GUIDES

被引：28

作者：

FERNANDEZ, FA

DAVIES, JB

ZHU, S

LU, Y

机构：

[1] Department of Electronic and Electrical Engineering, University College London, London WC1E 7JE, Torrington Place

来源：

ELECTRONICS LETTERS | 1991年 / 27卷 / 20期

关键词：

MATRIX ALGEBRA; MATHEMATICAL TECHNIQUES; DIELECTRIC WAVE-GUIDES; WAVE-GUIDES;

D O I：

10.1049/el:19911133

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

A method is presented to find a selected set of eigenvalues and the respective eigenvectors of the generalised eigenvalue problem Ax = lambda-Bx for large, sparse, real or complex, non-Hermitian matrices. Although the method is clearly applicable to other problems, results are given of application to the vectorial finite element analysis of dielectric waveguides.

引用

页码：1824 / 1826

页数：3

共 12 条

[1] Bathe K.J., 1976, NUMERICAL METHODS FI
[2] A VARIATIONAL ANALYSIS OF ANISOTROPIC, INHOMOGENEOUS DIELECTRIC WAVE-GUIDES
CHEW, WC
NASIR, MA
[J]. IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 1989, 37 (04) : 661 - 668
[3] Clint M., 1971, J I MATH APPL, V8, P111, DOI 10.1093/imamat/8.1.111
[4] FINITE-ELEMENT ANALYSIS OF ALL MODES IN CAVITIES WITH CIRCULAR SYMMETRY
DAVIES, JB
FERNANDEZ, FA
PHILIPPOU, GY
[J]. IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 1982, 30 (11) : 1975 - 1980
[5] BLOCK-STODOLA EIGENSOLUTION TECHNIQUE FOR LARGE ALGEBRAIC SYSTEMS WITH NON-SYMMETRICAL MATRICES
DONG, SB
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1977, 11 (02) : 247 - 267
[6] ME28 - A SPARSE UNSYMMETRIC LINEAR-EQUATION SOLVER FOR COMPLEX EQUATIONS
DUFF, IS
[J]. ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 1981, 7 (04): : 505 - 511
[7] VECTOR FINITE-ELEMENT SOLUTION OF SATURABLE NONLINEAR STRIP-LOADED OPTICAL WAVE-GUIDES
ETTINGER, RD
FERNANDEZ, FA
RAHMAN, BMA
DAVIES, JB
[J]. IEEE PHOTONICS TECHNOLOGY LETTERS, 1991, 3 (02) : 147 - 149
[8] VARIATIONAL FINITE-ELEMENT ANALYSIS OF DIELECTRIC WAVE-GUIDES WITH NO SPURIOUS SOLUTIONS
FERNANDEZ, FA
LU, Y
[J]. ELECTRONICS LETTERS, 1990, 26 (25) : 2125 - 2126
[9] FERNANDEZ FA, 1991, IN PRESS IEEE T MAGN
[10] JENNINGS A, 1975, J I MATH APPL, V15, P351

← 1 2 →