Legendre polynomials as finite elements in boundary integral equations for transmission problem with periodic piecewise-linear boundary

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

Volumn Part F133433, Issue , 1999, Pages 55-58

  Sadov, S Yu ^a   McGreer, K A ^a  

^a UNIVERSITY OF MANITOBA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC WAVES; BOUNDARY INTEGRAL EQUATIONS; DIFFERENTIAL EQUATIONS; FINITE ELEMENT METHOD; GALERKIN METHODS; PIECEWISE LINEAR TECHNIQUES;

ANALYTICAL APPROACH; ARBITRARY DEGREE; LEGENDRE POLYNOMIALS; PIECEWISE LINEAR; TRANSMISSION PROBLEM;

INVERSE PROBLEMS;

EID: 0038164143     PISSN: 21653585     EISSN: 21653593     Source Type: Conference Proceeding    
DOI: 10.1109/DIPED.1999.822129     Document Type: Conference Paper

References (9)

1. R. Kress, I.H. Sloan, On the numerical solution of a logarithmic integral equation of the first-kind for the Helmholz equation. Num. Math. 66 (1993), 199-214.
2. R. Kress, On the numerical solution of a hypersingular integral equation in scattering theory. J. Of Comput. And Appi. Math. 61 (1995), 345-360.
3. G. Elschner, I.G. Graham, An optimal order collocation method for first kind boundary integral equations on polygons. Num. Math. 70 (1995), 1-31.
4. P.Laubin, High order convergence for collocation of second kind boundary integral equations on polygons. Num. Math. 79 (1998), 141-155.
5. M.Costabel, E.P. Stephan, On the convergence of colocation methods for boundary integral equations on polygons. Math, of Comp. 49, No 180 (1987), 461-478.
6. M.M.Khapaev, Boundary element method for problems with corners and mixed boundary conditions. Differential Equations, 27 (1991), 895-899.
7. P. Davis, Interpolation and Approximation. Dover, 1972.
8. M.Costabel, E.P. Stephan, A direct boundary integral equation method for transmission problems. J. Math. Anal. Appi. 106 (1985), 367-413.
9. R. Kress, Minimizing the condition number of boundary integral operators in acoustic and electromagnetic scattering. Q.J. Mech. Appi. Math. 37, pt.2 (1985), 323-341.