Geodesic
Efficient iterative schemes for realizing the finite element method for stationary boundary value problems in mathematical physics
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2000), pp. 3-11.

Voir la notice de l'article provenant de la source Math-Net.Ru

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V. N. Abrashin; A. A. Egorov; N. G. Zhadaeva. Efficient iterative schemes for realizing the finite element method for stationary boundary value problems in mathematical physics. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2000), pp. 3-11. http://geodesic.mathdoc.fr/item/IVM_2000_11_a0/

[1] Marchuk G. I., Metody rasschepleniya, Nauka, M., 1988, 264 pp. | MR

[2] Marchuk G. I., Kuzin V. I., “On the combination of finite element and splitting-up methods in the solution of parabolic equations”, J. Comput. Phys., 52:2 (1983), 237–272 | DOI | MR | Zbl

[3] Kuzin V. I., “Chislennaya model globalnoi tsirkulyatsii okeana, osnovannaya na metode konechnykh elementov s rasschepleniem”, Chislennoe modelirovanie dinamiki okeana i vnutrennikh vodoemov, Novosibirsk, 1984, 118–140

[4] Laevskii Yu. M., “Metody dekompozitsii oblasti pri reshenii dvumernykh parabolicheskikh uravnenii”, Variatsionno-raznostnye metody v zadachakh chislennogo analiza, Novosibirsk, 1987, 112–128

[5] Laevskii Yu. M., “Ob odnom algoritme dekompozitsii oblasti bez naleganiya podoblastei pri reshenii parabolicheskikh uravnenii”, Zhurn. vychisl. matem. i matem. fiz., 32:11 (1992), 1744–1755 | MR

[6] Peaceman D. W., Rachford H. H., “The numerical solution of parabolic and elliptic differential equations”, J. Soc. Industr. and Appl. Math., 3:1 (1955), 28–41 | DOI | MR | Zbl

[7] Douglas J., “On the numerical integration of $\partial^2u/\partial x^2+\partial^2u/\partial y^2=\partial u/\partial t$ by implicit methods”, J. Soc. Industr. and Appl. Math., 3:1 (1955), 42–65 | DOI | MR | Zbl

[8] Abrashin V. N., Zhadaeva N. G., “Raznostnye skhemy dlya zadach matematicheskoi fiziki v oblasti proizvolnoi formy”, Differents. uravneniya i ikh primenenie, 43, Vilnyus, 1988, 22–30 | MR | Zbl

[9] Abrashin V. N., “Ob odnom variante metoda peremennykh napravlenii resheniya mnogomernykh zadach matematicheskoi fiziki”, Differents. uravneniya, 26:2 (1990), 314–323 | MR

[10] Abrashin V. N., Mukha V. A., “Ob odnom klasse ekonomichnykh raznostnykh skhem dlya resheniya mnogomernykh zadach matematicheskoi fiziki”, Differents. uravneniya, 28:10 (1992), 1186–1199 | MR

[11] Abrashin V. N., Lekhtikov S. N., “O sochetanii metodov peremennykh napravlenii i konechnykh elementov pri reshenii zadach matematicheskoi fiziki, I”, Differents. uravneniya, 31:7 (1995), 1161–1169 | MR | Zbl

[12] Abrashin V. N., Lekhtikov S. N., “O sochetanii metodov peremennykh napravlenii i konechnykh elementov pri reshenii zadach matematicheskoi fiziki, II”, Differents. uravneniya, 32:7 (1996), 889–897 | MR | Zbl

[13] Abrashin V. N., Zhadaeva N. G., “Ob odnom metode kompozitsii postroeniya iteratsionnykh algoritmov resheniya statsionarnykh zadach matematicheskoi fiziki”, Differents. uravneniya, 35:7 (1999), 948–958 | MR

[14] Abrashin V. N., Egorov A. A., Zhadaeva N. G., Samarskaya N. G., “Iteratsionnyi mnogokomponentnyi metod peremennykh napravlenii resheniya statsionarnykh zadach matematicheskoi fiziki”, Tr. in-ta matem. NAN Belarusi, 3 (1999), 99–105 | MR | Zbl

[15] Abrashin V. N., “Mnogokomponentnye iteratsionnye metody peremennykh napravlenii”, Matem. modelir., 12:2 (2000), 45–58 | MR | Zbl