Accuracy of the Robin boundary condition iteration method for the finite element solution of scattering problems

International Journal of Numerical Modelling: Electronic Networks, Devices and Fields

Volumn 13, Issue 2-3, 2000, Pages 217-231

  Alfonzetti, S ^a   Borzi G ^b  

^a UNIVERSITY OF CATANIA   (Italy)

^b UNIVERSITY OF MESSINA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; ELECTROMAGNETIC WAVE SCATTERING; FINITE ELEMENT METHOD; ITERATIVE METHODS; RADAR CROSS SECTION;

CYLINDRICAL HARMONICS; ELECTROMAGNETIC SCATTERING; OPEN BOUNDARY PROBLEMS; ROBIN BOUNDARY CONDITION ITERATION;

MATHEMATICAL MODELS;

EID: 0034159334     PISSN: 08943370     EISSN: None     Source Type: Journal    
DOI: 10.1002/(sici)1099-1204(200003/06)13:2/3<217::aid-jnm357>3.0.co;2-p     Document Type: Article

References (22)

1. Zienkiewicz OC, Taylor RI. The Finite Element Method. McGraw-Hill: Maidenhead, 1991.
2. Silvester PP, Ferrari RL. Finite Elements for Electrical Engineers. Cambridge University Press: Cambridge, 1996.
3. Jin J. The Finite Element Method in Electromagnetics. Wiley: New York, 1993.
4. Engquist B, Majda A. Radiation boundary conditions for the numerical simulation of waves. Mathematics and Computation 1997; 31:629-651.
5. Bayliss A, Gunzburger M, Turkel E. Boundary conditions for the numerical solution of elliptic equations in exterior regions. SIAM Journal of Applied Mathematics 1982; 42(2):430-451.
6. Ramahi OM, Khebir A, Mittra R. Numerically derived absorbing boundary condition for the solution of open region scattering problems. IEEE Transactions on Antennas and Propagation 1991; 39(3):350-353.
7. Li Y, Cendes Z. High-accuracy absorbing boundary conditions. IEEE Transactions on Magnetics 1995; 31(3):1524-1529.
8. Yao Bi JL, Nicolas L, Nicolas A. Vector absorbing boundary conditions for nodal or mixed finite elements. IEEE Transactions on Magnetics 1996; 32:848-853.
9. Berenger JP. A perfectly matched layer for the absorption of electromagnetic waves. Journal of Computational Physics 1994; 114:185-200.
10. Harrington RF. Field Computation by Moment Methods. Macmillan: New York, 1968.
11. Ramahi OM, Mittra R. Finite element solution for a class of unbounded geometries. IEEE Transactions on Antennas and Propagation 1991; 39:244-250.
12. Alfonzetti S, Borzì G, Salerno N. FEM analysis of unbounded electromagnetic scattering by the Robin iteration procedure. Electronic Letters 1996; 32:1768-1769.
13. Alfonzetti S, Borzì, G, Salerno N. Iteratively-improved Robin boundary conditions for the finite element solution of scattering problems in unbounded domains. International Journal of Numerical Methods in Engineering 1998; 42(4):601-629.
14. Alfonzetti S, Borzì G. Three-dimensional electromagnetic scattering computation by means of the Robin boundary condition iteration method. CEFC'98, Tucson (U.S.A.), 1-3 June 1998.
15. Aiello G, Alfonzetti S, Coco S. Charge iteration: a procedure for the finite element computation of unbounded electrical fields. International Journal of Numerical Methods in Engineering 1994; 37:4147-4166.
16. Aiello G, Alfonzetti S, Coco S, Salerno N. A theoretical study of charge iteration. COMPEL 1996; 15:22-46.
17. Aiello G, Alfonzetti S, Coco S, Salerno N. Finite element iterative solution of skin effect problems in open boundaries. International Journal of Numerical Modelling: Electronic Networks, Devices and Fields (special issue on Computational Magnetics) 1996; 9:125-144.
18. Alfonzetti S, Borzì G. Scattering from cavity-backed apertures in an infinite ground plane by an iterative procedure. Numelec'97, Lyon, France, 19-21 March 1997.
19. Alfonzetti S, Borzì G, Salerno N. An iterative solution to scattering from cavity-backed apertures in a perfectly conducting wedge. IEEE Transactions on Magnetics 1998; 34(5);2704-2707.
20. Alfonzetti S, Borzì G, Salerno N. Accelerating the Robin iteration procedure by means of GMRES. COMPEL 1998; 17(1-3):49-54.
21. Bruno OP, Reitich F. Calculation of electromagnetic scattering via boundary variations and analytic continuation. Applied Computational Electromagnetic Society Journal (special issue on Applied Mathematics) 1996; 11(1):17-31.
22. Alfonzetti S, Coco S. ELFIN: an N-dimensional finite element code for the computation of electromagnetic fields. IEEE Transactions on Magnetics 1988; 24(1):362-365.