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Electromagnetics 06/2010; 30(5):448-462. · 0.79 Impact Factor
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Electromagnetics 11/2008; 28(8):582-589. · 0.79 Impact Factor
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Antennas and Propagation Society International Symposium, 2007 IEEE; 07/2007
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Antennas and Propagation Society International Symposium, 2007 IEEE; 07/2007
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ABSTRACT: The well-known marching-on-in-time (MOT) method is usually adopted to solve the time-domain integral equations (TDIE) for transient scattering problems. However, the MOT method suffers from a tendency to instability, which obviously hampers its development and wide application. We employ transformations of the parametric coordinates and Duffy's coordinates transformation to transform the singular integrals of the time-domain electric field integral equation (TDEFIE) into non-singular integrals, which can be accurately and efficiently evaluated by dividing the transformed domain of integration into sub-domains.
Antennas and Propagation Society International Symposium, 2005 IEEE; 08/2005
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ABSTRACT: The vector finite element-boundary integral method is adopted to formulate the radiation problem for the cavity-backed patch antenna. A robust well-conditioned asymptotic waveform evaluation (WCAWE) is employed to realize fast computing of input impedance of the patch antenna over a wide frequency band. Numerical results are presented to illustrate the robustness of the WCAWE.
Antennas and Propagation Society International Symposium, 2005 IEEE; 08/2005
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ABSTRACT: The time domain integral equation (TDIE) method for transient scattering analysis has received considerable attention in the past few years. In this work, the high order vector basis function in Kang et al. (2001) is used for solving three-dimensional time-domain magnetic integral equations (TDMFIE), and thus the tedious evaluation of the space-time integrals in the method-of-moments of the time-domain integral equations is greatly simplified and accelerated. The point matching methods in space and time are implemented for the solution of TDMFIE. Two numerical results are presented to demonstrate the accuracy and efficiency of this method.
Antennas and Propagation Society International Symposium, 2005 IEEE; 08/2005
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ABSTRACT: A multilevel recursively defined preconditioner for use with the preconditioned GMRES algorithm is developed and applied to accelerate the solution of the vector finite element-boundary integral (FE-BI) matrix equations of scattering by a three-dimensional cavity. The preconditioner is constructed from a sequence of hierarchical vector spaces arising from the p-version of the finite element method. Numerical studies have been conducted using hexahedral elements for three-dimensional problems with p = 2 . The efficiency of the iterative procedure is illustrated using convergence curves
Antennas and Propagation Society International Symposium, 2005 IEEE; 02/2005
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ABSTRACT: An efficient algorithm is presented to quickly evaluate the frequency-domain response of a patch antenna. The method is based on the combination of the higher order vector finite element method (FEM) and the asymptotic waveform evaluation (AWE) technique for efficiently computing the frequency-domain response. The effect of moments in the power series is discussed. Numerical results for input impedance given below show that the algorithm can achieve very good approximations in the desired frequency band.
Computational Electromagnetics and Its Applications, 2004. Proceedings. ICCEA 2004. 2004 3rd International Conference on; 12/2004
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ABSTRACT: The time-domain electric, magnetic and combined field integral equations (TDEFIE, TDMFIE and TDCFIE) have been applied widely to the analysis of transient scattering from conducting bodies. The marching-on-in-time (MOT) schemes, relying on suitable spatial integral rules and an implicit time-stepping method, have been found to be always stable for solving the TDCFIE and TDMFIE. Unfortunately, the same is not true for the TDEFIE. The non-singular integral is evaluated using the standard Gaussian quadrature rules, and the transformations of the parametric coordinates and plane polar coordinates are employed to transform the singular integrals of TDEFIE into non-singular integrals, which can be accurately and efficiently evaluated by dividing the original domain of integration into sub-domains. Simulation results demonstrate that this approach produces rather stable and more accurate results without resort to any averaging processes. It is more important that this method suits any temporal basis functions and can be extended to high-order spatial basis functions.
Computational Electromagnetics and Its Applications, 2004. Proceedings. ICCEA 2004. 2004 3rd International Conference on; 12/2004
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ABSTRACT: Higher order vector basis functions have been widely recognized in the computational electromagnetics community and, furthermore, have been combined with FEM or MOM for solving various electromagnetic problems. Although the higher order approaches have the distinct advantages of higher accuracy and faster convergence, some recognized inherent deficiencies of leading to larger condition numbers of FEM matrices have limited them in the use of iterative methods. A rectangular resonator cavity is considered and the eigenvalue matrix equation is obtained by FEM where the higher order hexahedral vector basis functions are employed to expand the unknown field. The condition numbers of two stiffness matrices resulting from the eigenvalue equation are analyzed with respect to different higher order bases. The results provide deep a insight into higher order approaches.
Computational Electromagnetics and Its Applications, 2004. Proceedings. ICCEA 2004. 2004 3rd International Conference on; 12/2004
