A new nonconforming finite element method for the computation of electromagnetic guided waves .1. Mathematical analysis

被引：14

作者：

Joly, P ^{[1
]}

Poirier, C ^{[1
]}

Roberts, JE ^{[1
]}

Trouve, P ^{[1
]}

机构：

[1] THOMSON CSF,CENT RECH LAB,F-91401 ORSAY,FRANCE

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1996年 / 33卷 / 04期

关键词：

electromagnetic guided waves; nonconforming finite elements; mixed finite elements; eigenvalue problems;

D O I：

10.1137/S0036142993256817

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We are concerned with the problem of computing electromagnetic guided waves in a closed, inhomogeneous, cylindrical wave guide. These waves correspond to solutions of an eigenvalue problem, and classical methods produce, in addition to approximations to the solutions, spurious modes which are particularly troublesome because they correspond to nonzero approximations of the 0 eigenvalue. A nonconforming finite element method for the calculation of guided waves without spurious modes is introduced and analyzed.

引用

页码：1494 / 1525

页数：32

共 26 条

[1]

AGMON S, 1965, LECTURES ELLIPTIC BO

[2]

[Anonymous], 1957, LINEAR OPERATORS 1

[3]

[Anonymous], THESIS U NANTES NANT

[4]

[Anonymous], 1985, ANAL MATH CALCUL NUM

[5]

Anselone P. M., 1971, Collectively compact operator approximation theory and applications to integral equations

[6] MATHEMATICAL-ANALYSIS OF THE GUIDED MODES OF AN OPTICAL FIBER [J].

BAMBERGER, A ;

BONNET, AS .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1990, 21 (06) :1487-1510

[7] MATHEMATICAL-ANALYSIS OF A FINITE-ELEMENT METHOD WITHOUT SPURIOUS SOLUTIONS FOR COMPUTATION OF DIELECTRIC WAVE-GUIDES [J].

BERMUDEZ, A ;

GOMEZ, D .

NUMERISCHE MATHEMATIK, 1992, 61 (01) :39-57

[8]

BREZZI F, 1974, REV FR AUTOMAT INFOR, V8, P129

[9]

Ciarlet P., 1991, HDB NUMERICAL ANAL

[10]

Ciarlet PG., 1978, The Finite Element Method for Elliptic Problems

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