Electromagnetic Field Boundary Value Problems Research Articles

Improved iterative algorithm for 3D edge FEM analysis of electromagnetic field boundary value problems

In this article, an improved iterative arithmetic of the symmetric successive over-relaxation preconditioning biconjugate-gradient algorithm (ISSOR-PBCG) is utilized to solve the 3D edge FEM equations derived from the time-harmonic electromagnetic-field boundary value problems. Several typical structures have been analyzed, and the computation time is compared with that of other algorithms such as biconjugate-gradient (BCG) algorithm and the conventional symmetric successive over-relaxation preconditioning biconjugate- gradient algorithm (SSOR-PBCG). The CPU time saved using the ISSOR-PBCG algorithm is nearly 27% and 65.5%, as compared with that using the SSOR-PBCG and the BCG algorithm. It can be seen that the ISSOR-PBCG algorithm is efficient for edge FEM equation sets derived from large-scale time-harmonic electromagnetic-field problems. © 2006 Wiley Periodicals, Inc. Int J RF and Microwave CAE, 2006.

A Field Theoretical Method for Analyzing Microwave Cavity with Arbitrary Cross-Section

In this paper a microwave cavity with an arbitrary cross-section is analyzed using the method of lines, and the correctness of the analytic method is demonstrated. A novel truncated circular microwave cavity is presented and its electromagnetic field distribution and resonances are calculated and analyzed. The analytic model in this paper has some advantages including less computational quantity, easy formulation, and extensive application. It can be used for researching electromagnetic field boundary value problems.

Analysis of Method of Lines for a Novel Open Truncated Circular-Groove Guide

Groove guide is a millimeter wave and sub-millimeter wave transmission line. It has some characteristics that are superior to the other transmission lines such as simple structure, easy manufacture for its large size, low loss, low dispersion and wide bandwidth etc., when operational frequency is higher than 100 GHz. The groove guide with arbitrary cross-section is analyzed by using the method of lines in this paper. The correctness of the analytic model for solving this guide is demonstrated. A novel truncated circular-groove guide is presented and its transmission characteristics are numerically calculated and analyzed. It can be consulted for theoretical researching of groove guide and disposing electromagnetic field boundary value problems. The analytic method in this paper has some virtues such as easy formulation, less computation and universal application etc.

Generalised method of lines for Helmholz equations by using discretisation technique of pseudospectral method

A novel semi-analytical higher-order numerical approach to solve electromagnetic field boundary-value problems is described. This pseudospectral-based method of lines is developed by combining a pseudospectral technique with the method of lines so that its solution is not only analytical along the line direction but also maintains high accuracy in the discrete direction. The pseudospectral-based discretisation strategy, distribution of collocation nodes, the global Fourier series interpolation of differential quadrature, a second-order difference matrix for various homogeneous boundary conditions, and the decoupling of coupled ordinary differential equations are all discussed in detail. Numerical results demonstrate that this pseudospectral method of lines can efficiently solve the boundary-value problems with higher accuracy when compared with the conventional method of lines. This method should be a competitive technique for modelling time-harmonic complex electromagnetic problems.

The generalized method of lines based on the discretization technique of the pseudospectral method

In this paper, a novel semianalytical higher order numerical approach to solve electromagnetic field boundary value problems is described. This pseudospectral-based method of lines is developed by combining the pseudospectral technique and the method of lines so that it not only has a high accuracy of the semianalytical technique in the line direction, but also maintains high accuracy in the discrete direction. The pseudospectral-based discretization technique, distribution of collocation nodes, global interpolation of the differential quadrature, second-order difference matrix for various homogeneous boundary conditions, and decoupling of coupled ordinary differential equations are discussed in detail. Our numerical results demonstrate that this higher order semianalytical method can efficiently solve the boundary value problems with fewer mesh lines when compared to the conventional method of lines. It primarily shows that this method will be a competitive technique to model time-harmonic complex electromagnetic problems. ©1999 John Wiley & Sons, Inc. Microwave Opt Technol Lett 20: 339–342, 1999.