Asymptotic expansions of the error of spline Galerkin boundary element methods

Numerische Mathematik

Volumn 78, Issue 4, 1998, Pages 523-547

  Crouzeix, Michel ^a   Sayas, Francisco Javier ^b  

^a UNIVERSITÉ DE RENNES 1   (France)

^b UNIVERSITY OF ZARAGOZA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032345889     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110050324     Document Type: Article

References (13)

1. Arnold, D.N. and W.L. Wendland (1983): On the asymptotic convergence of collocation methods, Math. Comput 41, 349-381
2. Aubin, J.P. (1972): Approximation of elliptic boundary-value problems, Wiley-Interscience
3. de Boor, C. (1978): A Practical Guide to Splines, Springer Verlag
4. Hsiao, G.C, P. Kopp and W.L. Wendland (1980): A Gałerkin collocation Method for some Integral Equations of the First Kind, Computing 25, 89-130
5. Hsiao, G.C, P. Kopp and W.L. Wendland (1984): Some applications of a Galerkin-Collocation Method for Boundary Integral Equations of the First Kind, Math. Meth. Appl. Sci. 6, 280-325
6. Hsiao, G.C. and W.L. Wendland (1977): A finite element method for some integral equations of the first kind, J. Math. Anal. Appl. 58, 449-481
7. Hsiao, G.C. and W.L. Wendland (1981): The Aubin-Nitsche lemma for integral equations, J. Int. Eqns. 3, 299-315
8. Le Roux, M.-N. (1974): Résolution numérique du problème du potentiel dans le plan par une méthode variationeile d'éléments finis, Thèse de troisième cycle. Université de Rennes, France
9. Saranen, J (1989): Extrapolation methods for Spline Collocation Solutions of Pseudodifferential Equations on Curves, Numer. Math. 56, 385-407
10. Sayas, F.J. (1994): Asymptotic expansion of the error of some boundary element methods, Tesis doctoral, Universidad de Zaragoza, Spain
11. Shu, H.Z. (1992): Approximation d'un problème d'électromagnétisme avec effet de peau, Thèse de l'Université de Rennes I, France
12. Shu, H.Z. (1996): The superconvergence of a Galerkin collocation method for first kind boundary integral equations on smooth curves, to appear in Journal of Comp. Appl. Math.
13. Sloan, I.H. (1992): Error analysis of boundary integral equations, in Acta Numerica, Cambridge University Press