Geodesic
The Schwarz grid method for singularly perturbed convection-diffusion parabolic equations in the case of coherent and incoherent grids on subdomains
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 43 (2003) no. 2, pp. 251-264 Cet article a éte moissonné depuis la source Math-Net.Ru

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     title = {The {Schwarz} grid method for singularly perturbed convection-diffusion parabolic equations in the case of coherent and incoherent grids on subdomains},
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G. I. Shishkin. The Schwarz grid method for singularly perturbed convection-diffusion parabolic equations in the case of coherent and incoherent grids on subdomains. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 43 (2003) no. 2, pp. 251-264. http://geodesic.mathdoc.fr/item/ZVMMF_2003_43_2_a8/

[1] Marchuk G. I., Metody vychislitelnoi matematiki, Nauka, M., 1989 | MR

[2] Samarskii A. A., Teoriya raznostnykh skhem, 3-e izd., Nauka, M., 1989 | MR

[3] Bakhvalov N. S., “K optimizatsii metodov resheniya kraevykh zadach pri nalichii pogranichnogo sloya”, Zh. vychisl. matem. i matem. fiz., 9:4 (1969), 841–859 | Zbl

[4] Ilin A. M., “Raznostnaya skhema dlya differentsialnogo uravneniya s malym parametrom pri starshei proizvodnoi”, Matem. zametki, 6:2 (1969), 237–248

[5] Dulan E., Miller Dzh., Shilders U., Ravnomernye chislennye metody resheniya zadach s pogranichnym sloem, Mir, M., 1983 | MR

[6] Shishkin G. I., Setochnye approksimatsii singulyarno vozmuschennykh ellipticheskikh i parabolicheskikh uravnenii, UrO RAN, Ekaterinburg, 1992

[7] Miller J. J. H., O'Riordan E., Shishkin G. I., Fitted numerical methods for singular perturbation problems, error estimate in the maximum norm for linear problems in one and two dimensions, World Scient., Singapore, 1996 | MR

[8] Roos H.-G., Stynes M., Tobiska L., Numerical methods for singularly perturbed differential equations, Springer, Heidelberg, 1996 | MR

[9] Farrell P. A., Hegarty A. F., Miller J. J. H., O'Riordan E., Shishkin G. I., Robust computational techniques for boundary layers, Chapman Hall, Boca Raton; CRC Press, 2000 | MR | Zbl

[10] Hegarty A. F., Miller J. J. H., O'Riordan E., Shishkin G. I., “Special meshes for finite difference approximations to an advection-diffusion equation with parabolic layers”, J. Comput. Phys., 117 (1995), 47–54 | DOI | MR | Zbl

[11] Miller J. J. H., Mullarkey E., O'Riordan E., Shishkin G. I., “A simple recipe for uniformly convergent finite difference schemes for singularly perturbed problems”, C. r. Acad. sci. Paris. Ser. I. Math., 312:8 (1991), 643–648 | MR | Zbl

[12] Ilin A. M., Kalashnikov A. S., Oleinik O. A., “Lineinye uravneniya vtorogo poryadka parabolicheskogo tipa”, Uspekhi matem. nauk, 17:3 (1962), 3–146 | MR

[13] Ladyzhenskaya O. A., Solonnikov V. A., Uraltseva N. N., Lineinye i kvazilineinye uravneniya parabolicheskogo tipa, Nauka, M., 1967