Geodesic
On the numerical solution of boundary integral equations of the second kind in domains with corner points
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 36 (1996) no. 6, pp. 101-113 Cet article a éte moissonné depuis la source Math-Net.Ru

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I. O. Arushanyan. On the numerical solution of boundary integral equations of the second kind in domains with corner points. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 36 (1996) no. 6, pp. 101-113. http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_6_a10/

[1] Volkov E. A., “Eksponentsialno skhodyaschiisya metod resheniya uravneniya Laplasa na mnogougolnikakh”, Matem. sb., 109:3 (1979), 323–354 | MR | Zbl

[2] Babuška I., Guo B. Q., “The $h-p$ version of the finite element method for domains with curved boundaries”, SIAM J. Numer. Analys., 25:4 (1988), 837–861 | DOI | MR | Zbl

[3] Babuška I., Guo B. Q., Stephan E. P., “On the exponential convergence of the $h-p$ version for boundary element Galerkin methods on poligons”, Math. Methods Appl. Sci., 12:5 (1980), 413–427 | MR

[4] Mazya V. G., “Granichnye integralnye uravneniya”, Itogi nauki i tekhn., 27, VINITI, M., 1988, 131–228 | MR

[5] Graham I. G., Chandler G. A., “Hihg-order methods for linear functional of solutions of second kind integral equations”, SIAM J. Numer. Analys., 25:5 (1988), 1118–1137 | DOI | MR | Zbl

[6] Kress R. A., “Nyström method for boundary integral equations in domains with corners”, Numer. Math., 58:2 (1990), 145–161 | DOI | MR | Zbl

[7] Gursa E., Kurs matematicheskogo analiza, v. 3, ch. 2, Gostekhteorizdat, M.–L., 1934

[8] Arushanyan I. O., “O chislennom reshenii integralnykh uravnenii teorii potentsiala dlya vnutrennei zadachi Dirikhle v oblastyakh s uglovymi tochkami”, Pakety prikl. programm, Izd-vo MGU, M., 1992, 70–92

[9] Gonchar A. A., “O kusochno-polinomialnoi approksimatsii”, Matem. zap., 11:2 (1972), 129–134 | Zbl

[10] Bakhvalov N. S., “Ob optimalnoi skorosti integrirovaniya analiticheskikh funktsii”, Zh. vychisl. matem. i matem. fiz., 7:5 (1967), 1011–1020 | Zbl

[11] Kress R., Linear integral equations, Springer, New York etc., 1989 | MR | Zbl

[12] Kantorovich L. V., Akilov G. P., Funktsionalnyi analiz, Nauka, M., 1977 | MR | Zbl