An efficient implementation of the finite-element time-domain algorithm on parallel computers using a finite-element tearing and interconnecting algorithm

Microwave and Optical Technology Letters

Volumn 16, Issue 4, 1997, Pages 204-208

  Navsariwala, Umesh D ^a   Gedney, Stephen D ^a  

^a UNIVERSITY OF KENTUCKY   (United States)

Author keywords

Domain decomposition; FEM; FETD; FETI; Parallel algorithm

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; FINITE ELEMENT METHOD; PARALLEL ALGORITHMS; TIME DOMAIN ANALYSIS;

FINITE ELEMENT TEARING AND INTERCONNECTING (FETI) METHOD; FINITE ELEMENT TIME DOMAIN (FETD) METHOD;

PARALLEL PROCESSING SYSTEMS;

EID: 0031276906     PISSN: 08952477     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1098-2760(199711)16:4<204::AID-MOP3>3.0.CO;2-P     Document Type: Article

References (12)

1. J.-F. Lee, "WETD - A Finite Element Time-Domain Approach for Solving Maxwell's Equations," IEEE Microwave Guided Wave Lett., Vol. 4, Jan. 1994, pp. 11-13.
2. S. Gedney and U. Navsariwala, "An Unconditionally Stable Finite Element Time-Domain Solution of the Vector Wave Equation," IEEE Microwave Guided Wave Lett., Vol. 5, Oct. 1995, pp. 332-334.
3. U. Navsariwala and S. Gedney, "An Unconditionally Stable Parallel Finite Element Time Domain Algorithm," presented at IEEE Antennas and Propagat. Soc. Int. Symp., Baltimore, MD, July 1996.
4. J.-F. Lee, "Time-Domain Finite-Element Methods," IEEE Trans. Antennas Propagat., Vol. 45, Mar. 1997, pp. 430-442.
5. J.-F. Lee, "Tangential Vector Finite Elements and Their Application to Solving Electromagnetic Scattering Problems," IEEE Microwave Guided Wave Lett., Vol. 4, Jan. 1994, pp. 11-13.
6. S. Savage and A. F. Peterson, "Higher-Order Vector Finite Elements for Tetrahedral Cells," IEEE Trans. Microwave Theory Tech., Vol. 44, June 1996, pp. 874-879.
7. C. Farhat, "A Method of Finite Element Tearing and Interconnecting and Its Parallel Solution Algorithm," Int. J. Numer. Methods Eng., Vol. 32, 1991, pp. 1205-1227.
8. J. Mandel and R. Tezaur, "Convergence of a Substructuring Method with Lagrange Multipliers," Numer. Math., Vol. 73, July 1996, pp. 473-487.
9. J. Jin, The Finite Element Method in Electromagnetics, John Wiley and Sons, New York, 1992.
10. N. M. Newmark, "A Method of Computation for Structural Dynamics," J. Eng. Mech. Div., ASCE, Vol. 85, July 1959, pp. 67-94.
11. C. Farhat and M. Lesoinne, "Automatic Partitioning of Unstructured Meshes for the Parallel Solution of Problems in Computational Mechanics," Int. J. Numer. Methods Eng., Vol. 36, 1993, pp. 745-764.
12. G. Karypis and V. Kumar, "A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs," Tech. Rep. TR 95-035, Department of Computer Science, University of Minnesota, 1995.