Boundary integral equations method in boundary problems for unbounded triangular system of elliptical equations

Author

Litynskyy, Svyatoslav ; Muzychuk, Yuriy ; Muzychuk, Anatoliy

Author_Institution

Ivan Franko Nat. Univ. of Lviv, Lviv, Ukraine

fYear

2009

fDate

21-24 Sept. 2009

Firstpage

204

Lastpage

207

Abstract

A two-sided inverse of the differential operator for the unbounded system of elliptic equations on Lipshitz domains was obtained. It was based on a special convolution of sequences. The Dirichlet and Neumann problems for the unbounded systems were reduced to the systems of Fredholm integral equations of either the first kind or the second kind. All equations in integral systems distinguish only by their right hand sides and allow applying the recurrent procedure for the numerical solution.

Keywords

Fredholm integral equations; boundary integral equations; boundary-value problems; differential equations; elliptic equations; mathematical operators; Dirichlet problem; Fredholm integral equation; Lipshitz domain; Neumann problem; boundary integral equation; boundary problem; differential operator; elliptical equation; integral system; unbounded triangular system; Boundary value problems; Convolution; Differential equations; Gold; Integral equations; Laplace equations; Reflection; Solids;

fLanguage

English

Publisher

ieee

Conference_Titel

Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, 2009. DIPED 2009. International Seminar/Workshop on

Conference_Location

Lviv

Print_ISBN

978-1-4244-4201-0

Type

conf

DOI

10.1109/DIPED.2009.5306940

Filename

5306940