@article{ZVMMF_1994_34_10_a4,
author = {N. L. Patsko},
title = {Numerical solution of elliptic boundary-value problems by the finite-element method using $B$-splines},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1412--1426},
year = {1994},
volume = {34},
number = {10},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1994_34_10_a4/}
}
TY - JOUR AU - N. L. Patsko TI - Numerical solution of elliptic boundary-value problems by the finite-element method using $B$-splines JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1994 SP - 1412 EP - 1426 VL - 34 IS - 10 UR - http://geodesic.mathdoc.fr/item/ZVMMF_1994_34_10_a4/ LA - ru ID - ZVMMF_1994_34_10_a4 ER -
%0 Journal Article %A N. L. Patsko %T Numerical solution of elliptic boundary-value problems by the finite-element method using $B$-splines %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 1994 %P 1412-1426 %V 34 %N 10 %U http://geodesic.mathdoc.fr/item/ZVMMF_1994_34_10_a4/ %G ru %F ZVMMF_1994_34_10_a4
N. L. Patsko. Numerical solution of elliptic boundary-value problems by the finite-element method using $B$-splines. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 34 (1994) no. 10, pp. 1412-1426. http://geodesic.mathdoc.fr/item/ZVMMF_1994_34_10_a4/
[1] Stechkin S. B., Subbotin Yu. N., Splainy v vychislitelnoi matematike, Nauka, M., 1976 | MR
[2] Berdyshev V. I., Subbotin Yu. N., Chislennye metody priblizheniya funktsii, Sredne-Uralskoe kn. izd-vo, Sverdlovsk, 1979
[3] Zavyalov Yu. S., Kvasov B. I., Miroshnichenko V. L., Metody splain-funktsii, Nauka, M., 1980 | MR
[4] Boor de K., Prakticheskoe rukovodstvo po splainam, Radio i svyaz, M., 1985 | MR
[5] Margenov S. D., “Primenenie parabolicheskikh i kubicheskikh splainov dlya resheniya kraevykh zadach smeshannogo tipa dlya bigarmonicheskogo uravneniya v pryamougolnike”, Serdika. Bolg. mat. spisanie, 7 (1981), 211–216 | MR
[6] Mapgenov S. D., “Primenenie kubicheskikh splain-makroelementov dlya resheniya ellipticheskikh kraevykh zadach chetvertogo poryadka so slozhnym ochertaniem”, Chisl. metody i prilozh. Tr. Mezhdunar. konf. po chisl. metodam i prilozh. (Sofiya, 1986), 408–413
[7] Fedotova E. A., Prakticheskie ukazaniya po ispolzovaniyu splain-approksimatsii v programmiruyuschikh sistemakh serii “Pole”, Kharkov, 1984
[8] Gasanov A. I., Kaporin I. E., “Primenenie metoda isklyucheniya v reshenii silno ellipticheskikh sistem metodom konechnykh elementov”, Zh. vychisl. matem. i matem. fiz., 26:6 (1986), 837–850 | MR | Zbl
[9] Patsko N. L., “Primenenie $B$-splainov pri reshenii nekotorykh kraevykh zadach metodom konechnykh elementov”, Algoritmy priblizheniya funktsii, Sverdlovsk, 1987, 35–88
[10] Patsko N. L., Modifitsirovannyi frontalnyi metod resheniya SLAU s matritsei zhestkosti, postroennoi na osnove $B$-splainov, Dep. v VINITI 15.04.87, No 2627-V87, In-t matem. i mekhan. UNTs AN SSSR, Sverdlovsk, 1987, 31 pp.
[11] Subbotin Yu. N., Patsko N. L., “Primenenie $B$-splainov v metode konechnykh elementov”, Modelirovanie v mekhan., 5(22), no. 5, Novosibirsk, 1991, 110–117 | MR | Zbl
[12] Patsko N. L., Tekhnologiya primeneniya $B$-splainov v raschete osesimmetrichnykh rezinometallicheskikh izdelii, Dep. v VINITI 24.07.92, No 2443-V92, In-t matem. i mekhan. UrO RAN, Ekaterinburg, 1992, 190 pp. | Zbl
[13] Streng G., Fiks Dzh., Teoriya metoda konechnykh elementov, Mir, M., 1977 | MR
[14] Zenkevich O., Morgan K., Konechnye elementy i approksimatsiya, Mir, M., 1966 | MR
[15] Norri D., de Friz Zh., Vvedenie v metod konechnykh elementov, Mir, M., 1981 | MR | Zbl
[16] Patsko N. L., “Srednekvadratichnoe priblizhenie funktsii mnogikh peremennykh splainami proizvolnoi stepeni”, Algoritmy i programmy priblizheniya funktsii, Sverdlovsk, 1981, 167–182
[17] Morozov E. M., Nikishkov G. P., Metod konechnykh elementov v mekhanike razrusheniya, Nauka, M., 1980 | MR
[18] Bathe K. Wilson E. L., Numerical methods in finite element analysis, Prentice-Hall, Englewood Gliffs, 1976 | Zbl
[19] Irons B. M., “A frontal program for finite element analysis”, Internat. J. Numer. Methods Engng., 2:1 (1970), 5–32 | DOI | Zbl
[20] Hood P., “Frontal Solution program for unsymmetric matreces”, Internat. J. Numer. Methods Engng., 10:2 (1976), 379–399 | DOI | Zbl
[21] Ignatov M. I., Pevnyi A. B., Vychislenie integralov ot proizvedenii $B$-splainov i ikh proizvodnykh, Syktyvkar, 1989
[22] Hood P., Taylor C., “A numerical solution of the Navier–Stokes equations using the finite element technique”, Comput. and Fluids, 1 (1973), 73–100 | DOI | MR
[23] Dymnikov S. I., Lavendel E. E., Pavlovskis A. A., Sniegs M. I., Prikladnye metody rascheta izdelii iz vysokoelastichnykh materialov, Zinatne, Riga, 1980
[24] Mitchel E., Ueit R., Metod konechnykh elementov dlya uravnenii s chastnymi proizvodnymi, Mir, M., 1981 | MR
[25] Druzhinin V. A., “Issledovanie vliyaniya predvaritelnykh deformatsii na razrushenie rezinovykh elementov kombinirovannogo sharnira”, Vopr. dinamiki i prochnosti, 42, Zinatne, Riga, 1983, 80–85
[26] Sirotin M. I., Maslennikov V. T., Dyadyukina T. I., “Raschet tolstostennykh rezinovykh vtulok pri osevom szhatii”, Kauchuk i rezina, 1986, no. 12, 24–27
[27] Patsko N. L., “K raschetu napryazhenno-deformirovannogo sostoyaniya osesimmetrichnykh rezinometallicheskikh izdelii”, Prikl. mekhan., 30:1 (1994), 18–25 | Zbl
[28] Senchenkov I. K., Shevchenko A. Yu., Maznetsova A. V., “Spravochnye koeffitsienty zhestkosti prizmaticheskikh i tsilindricheskikh vibroizolyatorov pri szhatii i sdvige”, Vopr. dinamiki i prochnosti, 48, Zinatne, Riga, 1987, 23–28
[29] Poturaev V. N., Dyrda V. I., Karnaukhov V. G. i dr., Termomekhanika elastomernykh elementov konstruktsii pri tsiklicheskom nagruzhenii, Nauk. dumka, Kiev, 1987