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  • millimeter wave scattering  (2)
  • Variational analysis  (1)
  • Springer  (3)
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  • Springer  (3)
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  • 1
    Electronic Resource
    Electronic Resource
    Method of Lines Based on Finite Element Discrete Technique to Analyze Eigenvalues of Waveguides (1999)
    Springer
    International journal of infrared and millimeter waves 20 (1999), S. 1143-1153 
    Details
    ISSN: 1572-9559
    Keywords: Finite element method ; Method of lines ; Ordinary differential equation ; Variational analysis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract In this paper, a novel numerical technique to solve electromagnetic boundary value problem is described. This finite element based method of lines is developed by combining finite element method and the method of lines, so that it not only has high flexibility to treat geometrically and compositionally complex problems but also maintains high accuracy of semi-analytical technique. The geometry discretization, element mapping, element trial function and standard ordinary differential equation construction are discussed in details. Our numerical result demonstrates that this method can successfully solve the complex problems with fewer mesh lines when compared with conventional method of lines.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1021780708001
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Application of SSOR Preconditioning Technique to Method of Lines for Millimeter Wave Scattering (2000)
    Springer
    International journal of infrared and millimeter waves 21 (2000), S. 1281-1301 
    Details
    ISSN: 1572-9559
    Keywords: method of lines ; conjugate gradient method ; symmetric successive overrelaxation preconditioning ; millimeter wave scattering
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract In this paper, symmetric successive overrelaxation (SSOR) preconditioned CG technique are introduced into method of lines (MOL) to further enhance the computational efficiency of this semi-analytic method. Millimeter wave scattering by an infinite plane metallic grating is used as the examples to describe its implementation, whose analysis usually needs fast algorithms because of electrically large dimension. For arbitrary incident wave, Helmholz equation and boundary condition are used to calculate the impedance matrix and then to obtain reduced current-voltage linear matrix equation in spatial domain. An effective symmetric successive overrelaxation preconditioned conjugate gradient iterative method, SSOR-PCG, is chosen to solve this matrix equation. With SSOR as the preconditioner as well as its efficient implementing in CG algorithm, PCG method can converge to accurate solution in much fewer iteration steps.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1026452101058
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  • 3
    Electronic Resource
    Electronic Resource
    Analysis of Millimeter Wave Scattering by an Electrically Large Metallic Grating Using Wavelet-Based Algebraic Multigrid Preconditioned CG Method (2000)
    Springer
    International journal of infrared and millimeter waves 21 (2000), S. 1541-1560 
    Details
    ISSN: 1572-9559
    Keywords: millimeter wave scattering ; multigrid method ; conjugate gradient method ; preconditioning technique ; wavelet transformation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract An effective wavelet based multigrid preconditioned conjugate gradient method is developed to solve electromagnetic large matrix problem for millimeter wave scattering application. By using wavelet transformation we restrict the large matrix equation to a relative smaller matrix and which can be solved rapidly. The solution is prolonged as the new improvement for the conjugate gradient (CG) method. Numerical results show that our developed wavelet based multigrid preconditioned CG method can reach large improvement of computational complexity. Due to the automaticity of wavelet transformation, this method is potential to be a block box solver without physical background.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1026425611885
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