Geodesic
Cross-type projection-grid analogues of the Laplace operator
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 36 (1996) no. 10, pp. 46-55 Cet article a éte moissonné depuis la source Math-Net.Ru

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N. A. Strelkov. Cross-type projection-grid analogues of the Laplace operator. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 36 (1996) no. 10, pp. 46-55. http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_10_a5/

[1] Courant R., “Variational methods for the solution of problems of equilibrium and vibrations”, Bull. Amer. Math. Soc., 49:1 (1943), 1–23 | DOI | MR | Zbl

[2] Strang G., Fix G., “A Fourier analysis of the finite element method”, Proc. CIME Summer School (Italy, 1971)

[3] Strelkov N. A., “On the relationship between difference and projection-difference methods”, Numer. Analys. and Math. Modelling, Banach Center Publs., 24, Warsaw, 1990, 355–377 | MR | Zbl

[4] Nikolskii S. M., Priblizhenie funktsii mnogikh peremennykh i teoremy vlozheniya, Nauka, M., 1977 | MR

[5] Strelkov N. A., “O vybore koordinatnykh funktsii v proektsionno-raznostnykh metodakh”, Zh. vychisl. matem. i matem. fiz., 17:6 (1977), 1443–1457 | MR | Zbl

[6] Strelkov N. A., “Pryamye i obratnye proektsionno-setochnye teoremy”, Matem. zametki, 57:4 (1995), 586–596 | MR | Zbl

[7] Strelkov N. A., “O proektsionno-raznostnykh analogakh operatora Laplasa”, Zh. vychisl. matem. i matem. fiz., 21:5 (1981), 1326–1328 | MR | Zbl

[8] Strelkov N. A., “On projection-difference analogues of the identity operator”, Numer. Analys. and Math. Modelling, Banach Center Publs., 29, Warsaw, 1994, 227–231 | MR | Zbl

[9] Strelkov N. A., “Interpolyatsionnye predstavleniya tselykh funktsii eksponentsialnogo tipa”, Metody approksimatsii i interpolyatsii, VTs SO AN SSSR, Novosibirsk, 1981, 144–147 | MR

[10] Gradshtein I. S., Ryzhik I. M., Tablitsy integralov, summ, ryadov i proizvedenii, Nauka, M., 1971

[11] di Guglielmo F., “Construction d'approximations des espaces de Sobolev sur des reseaux en simplexes”, Calcolo, 6:2 (1969), 279–331 | DOI | MR | Zbl

[12] Strelkov N. A., “Simplitsialnye rasprostraneniya setochnykh funktsii i ikh primenenie dlya resheniya zadach matematicheskoi fiziki”, Zh. vychisl. matem. i matem. fiz., 11:4 (1971), 969–981 | MR | Zbl