G. Wang, G. Pan, and B. K. Gilbert, "A hybrid wavelet expansion and boundary element analysis for multiconductor transmission lines in dielectric media," IEEE Trans. Microwave Theory Tech., vol. 43, pp. 664--674, Mar. 1995.  Home/Search   Document Not in Database   Summary   Related Articles   Check

.... [15] and quite recently, with discretisation of singular and hypersingular kernels and conver gence of sparse systems obtained for such types of kernels ( 54] 55] 56] The first attempt of approaching capacitance extraction problem from the wavelet point of view was done by Wang et al. [67] with the main focus on handling arbitrary geometries by combination of boundary element and conformal mapping techniques. Here we extend that technique with principal emphasis on the computational efficiency. The principal differences of the proposed approach from the previously published ....

....simultaneous utilization of other key acceleration ideas [62] 65] these concepts provide potential for an inline capacitance extraction engine for very large scale problems. 4.3. 2 WAVELET EXPANSION OF INTEGRAL EQUATIONS We start with construction of orthonormal periodical wavelet basis on [67]. Define to be scaling function and to be wavelet function (section 2.3.5) For wavelets with local support periodical basis on the interval can be easily created by choosing such, that , 4.16) where supp is support operator, and simply deleting wavelet functions and scaling functions outside ....

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G. Wang, G. Pan and B.K. Gilbert, "A Hybrid Wavelet Expansion and Boundary Element Analysis for Multiconductor Transmission Lines in Dielectric Media," IEEE Transactions on Microwave Theory and Techniques, Vol. MTT-43, pp. 664-674, March 1995.

....literature. The first approach suggests the use of wavelets as basis function for expanding the quantity of interest along with a discretization procedure (typically a Galerkin procedure) to arrive at a localized impedance matrix which can be rendered sparse by a suitable thresholding procedure [10]. The second approach uses a conventional moment method solution, where pulse functions are used for both expanding the unknown and testing, and then a basis transformation is applied to transform the pulse basis into the wavelet basis and thereby render the impedance matrix localized and amenable ....

G. Wang, G. Pan, and B. K. Gilbert, "A hybrid wavelet expansion and boundary element analysis for multiconductor transmission lines in multilayered dielectric media," IEEE Trans. on Microwave Theory and Techniques, vol. 43, pp. 664--675, March 1995.

....both demonstrated. A comparison with a conventional method of moments solution is presented to show the advantages and disadvantages of the new approach. 1 Introduction Wavelet expansions are gaining use in solutions of frequency domain integral equations of electromagnetic scattering problems [1, 2, 3, 4]. In these works, the wavelets have been employed as the basis functions for expanding the quantity of interest and in turn a Galerkin method has been applied to solve the integral equation. The quantity of interest in these scattering problems is often a function of a continuous parameter. For ....

G. Wang, "A hybrid wavelet expansion and boundary element analysis of electromagnetic scattering from conducting objects," IEEE Trans. on Antennas and Propagation, vol. 43, pp. 170--178, February 1995.

....these sources can be readily formed by applying appropriate wavelet transformations to the original matrix equation obtained based on a conventional SMT solution. Wavelet expansions have already been used in solutions of frequency domain integral equations of electromagnetic scattering problems [8, 9, 10, 11]. However, in these works the wavelet functions have been employed as the basis functions for expanding an unknown surface quantity that is a function of a continuous parameter (e.g. the current induced on the conducting scatterer, which in two dimensional problems is a function of the continuous ....

G. Wang, "A hybrid wavelet expansion and boundary element analysis of electromagnetic scattering from conducting objects," IEEE Trans. on Antennas and Propagation, vol. 43, pp. 170--178, February 1995.

....and spatial variation, the resultant impedance matrix is highly localized and lends itself to thresholding with almost no loss in accuracy. Other works with applications of wavelet expansions in electromagnetics include the works of Wagner and Chew [7, 10, 11] Katehi [8, 12, 13, 14] Wang [9, 15, 16, 17], and many others [18, 19, 20, 21] This paper reviews a recently suggested technique, referred to as the Impedance Matrix Compression (IMC) technique [22] In this technique, advantage is taken not only of the sparse representation of the operator in a suitably selected wavelet basis, but also of ....

G. Wang, G. W. Pan, and B. K. Gilbert, "A hybrid wavelet expansion and boundary element analysis for multiconductor transmission lines in multilayered dielectric media", IEEE Trans. on Microwave Theory Tech., vol. 43, no. 3, pp. 664--674, March 1995.

....and which by a proper thresholding procedure can be rendered sparse. A number of these recently suggested approaches are the Fast Multipole Method [1, 2] which is used in conjunction with an iterative solution, the Impedance Matrix Localization method [3, 4] and the wavelet expansion approach [5, 6, 7, 8, 9]. In this work we deal with the incorporation of wavelets into method of moments solutions for scattering problems. The conventional approach to employing wavelets involves the use of wavelets as basis functions to expand the unknown quantity, and occasionally the use of wavelets as testing ....

....and spatial variation, the resultant impedance matrix is highly localized and lends itself to thresholding with almost no loss in accuracy. Other works with applications of wavelet expansions in electromagnetics include the works of Wagner and Chew [7, 10, 11] Katehi [8, 12, 13, 14] Wang [9, 15, 16, 17], and many others [18, 19, 20, 21] This paper reviews a recently suggested technique, referred to as the Impedance Matrix Compression (IMC) technique [22] In this technique, advantage is taken not only of the sparse representation of the operator in a suitably selected wavelet basis, but also of ....

G. Wang, "A hybrid wavelet expansion and boundary element analysis of electromagnetic scattering from conducting objects", IEEE Trans. on Antennas and Propagation, vol. 43, no. 2, pp. 170--178, Febreuary 1995.

No context found.

G. Wang, G. Pan, and B. K. Gilbert, "A hybrid wavelet expansion and boundary element analysis for multiconductor transmission lines in dielectric media," IEEE Trans. Microwave Theory Tech., vol. 43, pp. 664--674, Mar. 1995.

No context found.

G. Wang, G. Pan, and B. K. Gilbert, "A hybrid wavelet expansion and boundary element analysis for multiconductor transmission lines in multilayered dielectric media," IEEE Trans. Microwave Theory Tech., vol. 43, pp. 664--675, Mar. 1995.

No context found.

G. Wang, "A hybrid wavelet expansion and boundary element analysis of electromagnetic scattering from conducting objects," IEEE Trans. Antennas Propagat., vol. 43, pp. 170--178, Feb. 1995.

No context found.

G. Wang, G. Pan, and B.K. Gilbert, "A hybrid wavelet expansion and boundary element analysis for multiconductor transmission lines in multilayered dielectric media," IEEE Trans. Microwave Theory Tech., vol. 43, pp. 664-674, 1995.

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