Laguerre Transform and Boundary Elements Method in Problems of Numerical Modeling of Wave Propagation

Author

Litynskyy, Svyatoslav ; Muzychuk, Anatoliy

Author_Institution

Ivan Franko Nat. Univ. of Lviv, Lviv

fYear

2007

fDate

17-20 Sept. 2007

Firstpage

81

Lastpage

85

Abstract

The Laguerre transform with respect to the time variable has been applied to the Dirichlet problem for the wave equation. Received system of elliptic boundary value problems has been numerically solved with the boundary elements method. Transformants of the time-dependent solution have been represented in form of a simple layer potentials, which densities are determined recurrently from a boundary integral equations (BIE) with only right-hand side changing.

Keywords

boundary-elements methods; boundary-value problems; electromagnetic wave propagation; surface potential; transforms; Dirichlet problem; Laguerre transform; boundary elements method; boundary integral equations; elliptic boundary value problems; numerical modeling; simple layer potentials; time-dependent solution; wave equation; wave propagation; Boundary conditions; Boundary element methods; Boundary value problems; Integral equations; Numerical models; Partial differential equations; Physics; Space stations; Surface waves; Transforms;

fLanguage

English

Publisher

ieee

Conference_Titel

Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, 2007 XIIth International Seminar/Workshop on

Conference_Location

Lviv

Print_ISBN

978-966-02-4237-1

Type

conf

DOI

10.1109/DIPED.2007.4373580

Filename

4373580