Title :
Boundary elements method for some triangular system of boundary integral equations
Author :
Litynskyy, Svyatoslav ; Muzychuk, Yuriy
Author_Institution :
Ivan Franko Nat. Univ. of Lviv, Lviv, Ukraine
Abstract :
A system with infinite quantity of the boundary integral equations which is equivalent to the Dirichlet problem for some triangular system of elliptical equations and its weak formulation has been considered. A recurrent algorithm for solving such systems has been constructed. It involves finding the components of the solution using the boundary elements method step-by-step. The convergence orders for the collocation and the Galerkin methods have been compared.
Keywords :
Galerkin method; boundary-elements methods; elliptic equations; integral equations; Dirichlet problem; Galerkin method; boundary element method; boundary integral equation; elliptical equation; recurrent algorithm; triangular system; Boundary element methods; Differential equations; Gold; Integral equations; Laplace equations; Moment methods;
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
DOI :
10.1109/DIPED.2009.5306941
