Geodesic
A penalty method for grid matching in the finite element method
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2006), pp. 33-43.

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

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L. V. Maslovskaya; O. M. Maslovskaya. A penalty method for grid matching in the finite element method. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2006), pp. 33-43. http://geodesic.mathdoc.fr/item/IVM_2006_10_a4/

[1] Babuska I., “The finite element method with Lagrangian multipliers”, Numer. Math., 20:3 (1972), 179–192 | DOI | MR

[2] Nitsche J. A., “Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind”, Abh. Math. Sem. Univ. Hamburg, 36 (1971), 9–15 | DOI | MR | Zbl

[3] Le Tallec P., Sassi T., “Domain decomposition with nonmatching grids: augmented Lagrangian approach”, Math. Comp., 64 (1995), 1367–1396 | DOI | MR | Zbl

[4] Becker R., Hansbo P., Stenberg R., “A finite element method for domain decomposition with non-matching grids”, Math. Model. Numer. Anal., 37 (2003), 209–225 | DOI | MR | Zbl

[5] Babuska I., “The finite element method with penalty”, Math. Comp., 27:122 (1972), 221–228 | DOI | MR

[6] Aubin J. P., “Approximation des problèmes aux limites non homogenes et régularité de la convergence”, Calcolo, 6 (1969), 117–139 | DOI

[7] Kondratev V. A., “Kraevye zadachi dlya ellipticheskikh uravnenii v oblastyakh s konicheskimi i uglovymi tochkami”, Tr. Mosk. matem. o-va, 16, 1967, 209–292

[8] Kantorovich L. V., Akilov G. P., Funktsionalnyi analiz, Nauka, M., 1977, 742 pp. | MR | Zbl

[9] Syarle F., Metod konechnykh elementov dlya ellipticheskikh zadach, Mir, M., 1980, 512 pp. | MR

[10] Nitsche J. A., “Convergence of nonconforming methods”, Math. aspects of finite elements in partial differential equations, Academic Press, New York, 1974, 15–53 | MR

[11] Norri D., de Friz Zh., Vvedenie v metod konechnykh elementov, Mir, M., 1981, 304 pp. | MR | Zbl

[12] Zenkevich O., Morgan K., Konechnye elementy i approksimatsiya, Mir, M., 1986, 320 pp. | MR