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[Author] Thore MAGATH(1hit)

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  • Rapid Solution of Fredholm Integral Equations of the Second Kind with Picard-Kernel

    Thore MAGATH  

     
    PAPER-Basic Electromagnetic Analysis

      Vol:
    E87-C No:9
      Page(s):
    1548-1549

    An iterative method is proposed to solve integral equations (IEs) of the second kind with Picard-kernel in linear complexity, i.e.O(N). The particular IE considered describes the process of scattering of a plane wave incident on an inhomogeneous slab. The collocation method with triangle basis functions is used to derive a linear system of equations, which is solved for a test problem with the BiCGSTAB method. To reduce the number of iterations, an efficient preconditioning operator is introduced.