Geodesic
Solving the torsion problem for an $L$-section rod by the block method
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 42 (2002) no. 8, pp. 1207-1216 Cet article a éte moissonné depuis la source Math-Net.Ru

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E. A. Volkov; A. K. Kornoukhov. Solving the torsion problem for an $L$-section rod by the block method. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 42 (2002) no. 8, pp. 1207-1216. http://geodesic.mathdoc.fr/item/ZVMMF_2002_42_8_a12/

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

[2] Volkov E. A., Block method for solving the Laplace equation and for constructing conformal mappings, CRC Press Inc., Boca Raton (Florida), 1994 | MR | Zbl

[3] Volkov E. A., “Razvitie blochnogo metoda resheniya uravneniya Laplasa dlya konechnykh i beskonechnykh krugovykh mnogougolnikov”, Tr. MIAN SSSR, 187, M., 1989, 39–68

[4] Volkov E. A., “O bystrom blochnom metode resheniya uravneniya Laplasa na mnogougolnikakh pri nelokalnykh granichnykh usloviyakh”, Dokl. RAN, 342:1 (1995), 11–14 | MR | Zbl

[5] Volkov E. A., “Priblizhennoe konformnoe otobrazhenie blochnym metodom kruga s mnogougolnym otverstiem na koltso”, Zh. vychisl. matem. i matem. fiz., 28:6 (1988), 835–841 | MR

[6] Volkov E. A., “Vysokotochnye prakticheskie rezultaty konformnykh otobrazhenii blochnym metodom odnosvyaznykh i dvusvyaznykh oblastei”, Tr. MIAN SSSR, 181, M., 1988, 40–69 | MR | Zbl

[7] Volkov E. A., Kornoukhov A. K., Yakovleva E. A., “Eksperimentalnoe issledovanie blochnogo metoda resheniya uravneniya Laplasa na mnogougolnikakh”, Zh. vychisl. matem. i matem. fiz., 38:9 (1998), 1544–1552 | MR | Zbl

[8] Volkov E. A., Kornoukhov A. K., “Priblizhennoe konformnoe otobrazhenie blochnym metodom trapetsii na pryamougolnik i ego obraschenie”, Zh. vychisl. matem. i matem. fiz., 39:7 (1999), 1142–1150 | MR | Zbl

[9] Trefftz E., “Über die Wirkung einer Abrundung auf die Torsionspannungen in der inneren Ecke eines Winkeleisens”, Z. angew. Math. und Mech., 2:4 (1922), 263–267 | DOI | Zbl

[10] Vlasov V. I., Skorokhodov S. L., “O razvitii metoda Trefftsa”, Dokl. RAN, 337:6 (1994), 713–717 | MR | Zbl

[11] Skorokhodov S. L., Vlasov V. I., “A generalization and development of the Trefftz's method”, Z. angew. Math. und Mech., 76, Suppl. 1 (1996), 547–548 | MR | Zbl

[12] Vlasov V. I., Kraevye zadachi v oblastyakh s krivolineinoi granitsei, VTs RAN, M., 1987 | MR

[13] Lavrentev M. A., Shabat B. V., Metody teorii funktsii kompleksnogo peremennogo, Nauka, M., 1987 | MR

[14] Muskhelishvili N. I., Nekotorye osnovnye zadachi matematicheskoi teorii uprugosti. Osnovnye uravneniya ploskoi teorii uprugosti. Kruchenie i izgib, Nauka, M., 1966

[15] Volkov E. A., “O differentsialnykh svoistvakh reshenii kraevykh zadach dlya uravneniya Laplasa na mnogougolnikakh”, Tr. MIAN SSSR, 77, M., 1965, 113–142 | Zbl