Solving wave problems in infinite domain by using variable local DtN operators

• Autorzy: Premrov M. , Špacapan I.
• Języki publikacji: EN

Abstrakty

EN

This paper presents an iterative method for solving two-dimensional wave problems in infinite domains. The method yields a solution that satisfies Sommerfeld's radiation condition, as required for the correct solution of infinite domains excited only locally. This problem occurs in the solution of the wave equation in infinite domains when using an asymptotic local DtN (Dirichlet-to-Neumann) map in computational procedures applied to a finite domain. We are demonstrating that the amplitudes of the reflected fictive harmonics depend upon the wave number, the location of the fictive boundary, as well as on the DtN operator used in the computations. A constant value of the operator cannot sufficiently eliminate the amplitudes of all reflected waves, while the results are poor especially for higher harmonics. Thus, we are proposing an iterative method, which varies the tangential dependence of the operator in each computational step.

Słowa kluczowe

EN

wave mototion; radiation condition; boundary element method

PL

ruch falowy; warunek wypromieniowania; metoda elementów brzegowych

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2004
• Tom: Vol. 11, No. 2-3
• Strony: 145--153
• Opis fizyczny: Bibliogr. 14 poz., rys., wykr., tab.

Twórcy

autor

Premrov M.

• University of Maribor, Faculty of Civil Engineering, Smetanova 17, SI-2000 Maribor, Slovenia

autor

Špacapan I.

• University of Maribor, Faculty of Civil Engineering, Smetanova 17, SI-2000 Maribor, Slovenia

Bibliografia

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