Joint vector and scalar potential formulation for driven high frequency problems using hybrid edge and nodal finite elements

IEEE Transactions on Microwave Theory and Techniques

Volumn 44, Issue 1, 1996, Pages 15-23

  Dyczij Edlinger, Romanus ^a   Biro, Oszkar ^a  

^a MOTOROLA INC   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; ELECTROMAGNETIC FIELDS; FINITE ELEMENT METHOD; GRAPH THEORY; ITERATIVE METHODS; MATHEMATICAL OPERATORS; MATRIX ALGEBRA; MAXWELL EQUATIONS; PROBLEM SOLVING; VECTORS;

CONJUGATE GRADIENT METHOD; EDGE BASED FINITE ELEMENTS; NODAL SHAPE FUNCTIONS; SCALAR POTENTIAL; VECTOR POTENTIAL;

ELECTROMAGNETIC FIELD THEORY;

EID: 0029755153     PISSN: 00189480     EISSN: None     Source Type: Journal    
DOI: 10.1109/22.481380     Document Type: Article

References (21)

1. A. Bossavit A rationale for ̶edge elements̶ in 3-D fields computations IEEE Trans. Magn. 24 74 79 Jan. 1988
2. A. Bossavit Solving Maxwell equations in a closed cavity, and the question of `spurious modes,' $\\thinspace $ IEEE Trans. Magn. 26 702 705 Mar. 1990 20 3251 106414
3. J. F. Lee D. K. Sun Z. J. Cendes Full-Wave Analysis of Dielectric Waveguides Using Tangential Vector Finite Elements IEEE Trans. Microwave Theory Tech. 39 1262 1271 Aug. 1991 22 2793 85399
4. J. F. Lee D. K. Sun Z. J. Cendes Tangential vector finite elements for electromagnetic field computation IEEE Trans. Magn. 27 4032 4035 Sept. 1991 20 3222 104986
5. S. L. Foo P. P. Silvester Boundary-marching method for discontinuity analysis in waveguides of arbitrary cross section IEEE Trans. Microwave Theory Tech. 40 1889 1893 Oct. 1992 22 4182 159625
6. R. Albanese A. Rubinacci Solution of three dimensional eddy current problems by integral and differential methods IEEE Trans. Magn. 24 98 101 Jan. 1988 20 1675 43865
7. J. H. Wilkinson {\it The Algebraic Eigenvalue Problem.\quad } 1965 Clarendon Press Oxford
8. C. C. Paige M. A. Saunders Solution of sparse indefinite systems of linear equations SIAM J. Num. Anal. 12 617 629 Sept. 1975
9. J. K. Reid On the method of conjugate gradients for the solution of large sparse systems of equations Large Sparse Sets of Linear Equations 1971 Academic Press London
10. K. R. Richter W. M. Rucker O. Biro Study on 3-D Eddy Current Analysis Using FEM Proc. 4th International IGTE Symp. and European TEAM Workshop 91 99 Oct. 1990 Graz
11. A. George J. W. H. Liu The evolution of the minimum degree ordering algorithm SIAM Review 31 1 19 Mar. 1989
12. K. Ise K. Inoue M. Koshiba Three-dimensional finite-element solution of dielectric scattering obstacles in a rectangular waveguide IEEE Trans. Microwave Theory Tech. 38 1352 1359 Sept. 1990 22 2130 58664
13. R. Dyczij-Edlinger I. Bardi O. Biro K. Preis K. R. Richter A deterministic approach to the analysis of three-dimensional waveguide configurations by finite elements and mode matching IEEE Trans. Magn. 28 1235 1238 Mar. 1992 20 3500 123910
14. M. Hano Finite-element solution of three-dimensional resonator problems̵Novel rectangular parallelepiped elements Trans. IEICE J70-C 791 796 1987
15. I. Bardi O. Biro K. Preis G. Vrisk K. R. Richter Nodal and edge element analysis of inhomogeneously loaded 3-D cavities IEEE Trans. Magn. 28 1142 1145 Mar. 1992 20 3500 123886
16. Z. J. Cendes J. F. Lee The transfinite Element Method for Modeling MMIC Devices IEEE Trans. Microwave Theory Tech. 36 1639 1649 Dec. 1988 22 632 17395
17. H. Kanayama H. Motoyama K. Endo F. Kikuchi Three-dimensional magnetostatic analysis using Nedelec's elements IEEE Trans. Magn. 26 682 685 Mar. 1990 20 3251 106409
18. J. R. Bunch B. N. Parlett Direct methods for solving symmetric indefinite systems of linear equations SIAM J. Numer. Anal. 8 639 655 Dec. 1971
19. A. Kameari Calculation of transient 3-D eddy current using edge-elements IEEE Trans. Magn. 26 466 469 Mar. 1990 20 3251 106354
20. R. W. Freund Conjugate gradient-type methods for linear systems with complex symmetric coefficient matrices SIAM J. Sci. Stat. Comput. 13 425 448 Jan. 1992
21. A. G. Williamson Coaxially fed hollow probe in a rectangular waveguide Proc. Inst. Elec. Eng. 132 5 273 285 Aug. 1985