Costabel, Martin; Dauge, Monique; Nedaiasl, Khadijeh Stability analysis of a simple discretization method for a class of strongly singular integral equations. (English) Zbl 1534.45006 Integral Equations Oper. Theory 95, No. 4, Paper No. 29, 36 p. (2023). Reviewer: Olaf Hansen (San Marcos) MSC: 45L05 45E10 45M10 15B05 35Q61 47A12 47B35 47N20 65R20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Costabel, M.; Penzel, F.; Schneider, R. Convergence of boundary element collocation methods for Dirichlet and Neumann screen problems in \(\mathbb{R}^ 3\). (English) Zbl 0803.65107 Appl. Anal. 49, No. 1-2, 101-117 (1993). Reviewer: C.I.Gheorghiu (Cluj-Napoca) MSC: 65N35 65N38 45E10 65R20 35J05 35S15 × Cite Format Result Cite Review PDF Full Text: DOI
Costabel, M.; Ervin, V. J.; Stephan, E. P. Quadrature and collocation methods for the double layer potential on polygons. (English) Zbl 0791.65087 Z. Anal. Anwend. 12, No. 4, 699-707 (1993). Reviewer: C.I.Gheorghiu (Cluj-Napoca) MSC: 65N38 65R20 65N35 65N12 45E10 35J05 × Cite Format Result Cite Review PDF Full Text: DOI
Costabel, Martin; Stephan, Ernst P. Duality estimates for the numerical solution of integral equations. (English) Zbl 0663.65141 Numer. Math. 54, No. 3, 339-353 (1988). Reviewer: G.Hämmerlin MSC: 65R20 65N35 35J25 35C15 45E10 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Costabel, Martin; Stephan, Ernst P. On the convergence of collocation methods for boundary integral equations on polygons. (English) Zbl 0636.65122 Math. Comput. 49, 461-478 (1987). Reviewer: Lu Jipin MSC: 65N35 65R20 31A25 35J20 35C15 45E10 × Cite Format Result Cite Review PDF Full Text: DOI
Costabel, M.; Onishi, K.; Wendland, W. L. A boundary element collocation method for the Neumann problem of the heat equation. (English) Zbl 0633.65116 Inverse and ill-posed problems, Alpine-U.S. Semin. St. Wolfgang/Austria 1986, Notes Rep. Math. Sci. Eng. 4, 369-384 (1987). Reviewer: M.Costabel MSC: 65N35 65R20 35K05 35C15 45E10 × Cite Format Result Cite Review PDF
Costabel, Martin; Stephan, Ernst Boundary integral equations for mixed boundary value problems in polygonal domains and Galerkin approximation. (English) Zbl 0655.65129 Mathematical models and methods in mechanics, Banach Cent. Publ. 15, 175-251 (1985). MSC: 65N35 65N15 65R20 35J05 35C15 45E10 × Cite Format Result Cite Review PDF