The hp-version of the boundary element method on polygons

Journal of Integral Equations and Applications

Volumn 8, Issue 2, 1996, Pages 173-212

  Heuer, N ^a,b   Stephan, E P ^a,b  

^a UNIVERSITY OF BREMEN   (Germany)

^b Leibniz Universität Hannover   (Germany)

Author keywords

Exponential rate of convergence; Geometric mesh; Hp version of BEM

Indexed keywords

EID: 0039283059     PISSN: 08973962     EISSN: None     Source Type: Journal    
DOI: 10.1216/jiea/1181075935     Document Type: Article

References (13)

1. I. Babuska, B.Q. Guo and E.P. Stephan, On the exponential convergence of the h-p version for boundary element Galerkin methods on polygons, Math. Methods Appl. Sci. 12 (1990), 413-427.
2. M. Costabel, Boundary integral operators on Lipschitz domains: Elementary results, SIAM J. Math. Anal. 19 (1988), 613-626.
3. M. Costabel and E.P. Stephan, Boundary integral equations for mixed bound ary value problems in polygonal domains and Galerkin approximations, in Mathe matical models and methods in mechanics (W. Fiszdon and K. Wilmanski, eds.), Banach Centre Publ., Warsaw, 1985.
4. M. Costabel and E.P. Stephan, A direct boundary integral equation method for transmission problems, J. Math. Anal. Appl. 106 (1985), 367-413.
5. M. Costabel, E.P. Stephan and W.L. Wendland, On boundary integral equa tions of the first kind for the bi-Laplacian in a polygonal domain, Ann. Scuola Norm. Sup. Pisa, Cl. Ser (4) 10 (1983), 197-241.
6. V.J. Ervin, N. Heuer and E.P. Stephan, On the h-p version of the boundary element method for Symm's integral equation on polygons, Comput. Methods Appl. Mech. Engrg. 110 (1993), 25-38.
7. B.Q. Guo and I. Babuska, The h-p version of the finite element method, Part 1: The basic approximation results, Comp. Mech. 1 (1986), 21-41.
8. B.Q. Guo, N. Heuer and E.P. Stephan, The h-p version of the boundary element method for transmission problems with piecewise analytic data, SIAM J. Numer. Anal. 33 (2) (1996), 789-808.
9. N. Heuer, M. Maischak and E.P. Stephan, The hp-version of the boundary element method for screen problems, Institut fur Angewandte Mathematik, Hanover, Germany, 1995, preprint.
10. G.C. Hsiao, E.P. Stephan and W.L. Wendland, On the Dirichlet problem in elasticity for a domain exterior to an arc, J. Comput. Appl. Math. 34 (1991), 1-19.
11. E.P. Stephan and M. Suri, The h-p version of the boundary element method on polygonal domains with quasiuniform meshes, Math. Modeling Numer. Anal. 25 (1991), 783-807.
12. E.P. Stephan and W.L. Wendland, Remarks to Galerkin and least squares methods with finite elements for general elliptic problems, Manuscripta Geodaetica 1 (1976), 93-123.
13. W.L. Wendland and E.P. Stephan, A hypersingular boundary integral method for two-dimensional screen and crack problems, Arch. Rational Mech. Anal. 112 (1990), 363-390.