Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
612-822-4611

  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Electromagnetic and Acoustic Wave Scattering, Method of Moments and Error Bound

Electromagnetic and Acoustic Wave Scattering, Method of Moments and Error Bound

Schwengler, Thomas
Schwengler, Caroline

Paperback

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ISBN10: 171652363X
ISBN13: 9781716523632
Publisher: Lulu Pr
Published: Oct 8 2020
Pages: 104
Weight: 0.58
Height: 0.28 Width: 7.44 Depth: 9.69
Language: English
Electromagnetic and Acoustic Wave Scattering, Method of Moments and Error Bound studies examples of transverse magnetic (TM) and transverse Electric (TE) electromagnetic scattering, and acoustic scattering by a sound soft surface leading to Fredholm integral equations of the first kind. In each case the scattering problem is solved by the Galerkin method (method of moments with identical sets of basis and testing functions) and an error bound is derived for the approximation. Error bounds are expressed with norms in Sobolev spaces of order 1/2 and 1. Bounds are also derived using values of the residuals solely on the strip or plate where they are defined. A variational method derives novel approximate solutions of the above scattering problems that minimize the error bounds. Approximate solutions, residuals and error bounds are illustrated in many color plots. Detailed algorithms are included in appendices with verified MATLAB code to compute many special functions such as Struve functions and successive primitives of Bessel and Hankel functions. MATLAB code is also included for matrices used in the method of moment with piecewise constant and piecewise linear functions.

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