The article presents a fast pseudo-spectral Navier-Stokes solver for cylindrical geometries, which is shown to possess exponential rate of decay of the error. The formulation overcomes the issues related to the axis singularity, by employing in the radial direction a special set of collocation point
Loose GMRES method for efficient solution of EFIE in the MLFMA context
β Scribed by D. Z. Ding; P. L. Rui; R. S. Chen; Z. H. Fan
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 197 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0895-2477
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β¦ Synopsis
Abstract
The loose generalized minimum residual method (LGMRES) accelerated by multilevel fast multipole algorithm (MLFMA) is discussed for solving large dense linear systems that arise in the electric field integral equation (EFIE) formulation of electromagnetic scattering problems. The LGMRES is used to improve convergence by relieving restarting effect in the convensional GMRES iterative method, and the MLFMA is used to speed up the matrixβvector product operations. As a result, nearly eight times convergence improvement is achieved for electromagnetic scattering (EM) from threeβdimensional (3D) conducting bodies. Β© 2007 Wiley Periodicals, Inc. Microwave Opt Technol Lett 49: 2661β2665, 2007; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.22816
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