A theoretical study of the stability criteria for hybridized FDTD algorithms for multiscale analysis

被引：8

作者：

Marrone, M ^{[1
]}

Mittra, R ^{[1
]}

机构：

[1] Penn State Univ, Electromagnet Commun Lab, University Pk, PA 16802 USA

来源：

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION | 2004年 / 52卷 / 08期

关键词：

cell method (CM); generalized finite-difference time-domain (FDTD) method; hybrid algorithms; stability; subgridding;

D O I：

10.1109/TAP.2004.832332

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：

In this paper, we propose two new hybrid, two-dimensional, generalized finite-difference time-domain algorithms-formulated by using the cell method-and designed to analyze objects with fine details, without using very small time steps dictated by the Courant condition. A detailed analysis of the stability of the proposed algorithms is presented, with special attention devoted to the phenomenon of late time instabilities. Finally, some rules are provided that would ensure the stability of the proposed algorithms.

引用

页码：2158 / 2167

页数：10

共 17 条

[1]

[Anonymous], 1975, FORMAL STRUCTURE PHY

[2] An unconditionally stable 3-D ADI-MRTD method free of the CFL stability condition [J].

Chen, ZZ ;

Zhang, JZ .

IEEE MICROWAVE AND WIRELESS COMPONENTS LETTERS, 2001, 11 (08) :349-351

[3] FDTD local grid with material traverse [J].

Chevalier, MW ;

Luebbers, RJ ;

Cable, VP .

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1997, 45 (03) :411-421

[4] Mixed finite-difference/Whitney-elements time domain (FD/WE-TD) method [J].

Feliziani, M ;

Maradei, F .

IEEE TRANSACTIONS ON MAGNETICS, 1998, 34 (05) :3222-3227

[5] AN UNCONDITIONALLY STABLE FINITE-ELEMENT TIME-DOMAIN SOLUTION OF THE VECTOR WAVE-EQUATION [J].

GEDNEY, SD ;

NAVSARIWALA, U .

IEEE MICROWAVE AND GUIDED WAVE LETTERS, 1995, 5 (10) :332-334

[6]

Golub G. H., 1996, MATRIX COMPUTATIONS

[7]

Henrici P., 1963, Error Propagation for Difference Methods

[8] Novel numerical method for the analysis of 2D photonic crystals:: the cell method [J].

Marrone, M ;

Rodríguez-Esquerre, VF ;

Hernández-Figueroa, HE .

OPTICS EXPRESS, 2002, 10 (22) :1299-1304

[9]

MARRONE M, 2003, P IEEE AP S URSI COL

[10]

MARRONE M, 2002, P IEEE AP S URSI SAN, V1, P160

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