Title :
Construction of Boundary Operators for the Laplacian in the Case of Tired Surface. - II. Using the Double Layer Potential
Author :
Polishchuk, Alexander D.
Author_Institution :
Inst. of Appl. Problems of Mech. & Math., NASU, Lviv
Abstract :
Methods of construction of boundary operators for the boundary value problems for the Laplacian in the case of closed surface in R3 by means of double layer potential in the Hilbert space elements of which have a jump through boundary surface were considered in Polishchuk, A. D., 2005. The properties of these operators were investigated. Now we propose such methods and investigate the properties of corresponding operators in the case of tired boundary surface
Keywords :
Hilbert spaces; Laplace equations; boundary layers; boundary-value problems; computational electromagnetics; Hilbert space elements; Laplacian problem; boundary value problems; double layer potential; Boundary value problems; Computer aided software engineering; Hilbert space; Laplace equations; Mathematics;
Conference_Titel :
Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, Proceedings of XIth International Seminar/Workshop on
Conference_Location :
Tbilisi, Georgia
Print_ISBN :
966-02-3873-8
DOI :
10.1109/DIPED.2006.314313
