A cascadic multigrid algorithm in the finite element method for the three-dimensional Dirichlet problem in a curvilinear boundary domain
L. V. Gilyova, V. V. Shaidurov

References
1.	Deuflhard P., Cascadic conjugate gradient methods for elliptic partial differential equations. I. Algorithm and numerical results, Technical Report SC 93-23, Konrad-Zuse-Zentrum, Berlin, 1993
2.	Deuflhard P., “Cascadic conjugate gradient methods for elliptic partial differential equations. Algorithm and numerical results”, Proceedings of 7-th International Conference on Domain Decomposition Methods 1993, Contemporary Math., 180, AMS, Providence, 1994, 29–42
3.	Shaidurov V. V., Some estimates of the rate of convergence for the cascadic conjugate-gradient method, Preprint Otto-von-Guericke-Universitat no 4, Magdeburg, 1994
4.	Shaidurov V. V., “Some estimates of the rate of convergence for the cascadic conjugate-gradient method”, Computers Math. Applic., 31:4–5 (1996), 161–171
5.	Shaidurov V. V., “The convergence of the cascadic conjugate-gradient method under a deficient regularity”, Problems and Methods in Mathematical Physics, Teubner, Stuttgart, 1994, 185–194
6.	Bornemann F. A., On the convergence of cascadic iterations for elliptic problems, Preprint; SC 94-8, Konrad-Zuse-Zentrum, Berlin, 1994
7.	Shaidurov V. V., Mnogosetochnye metody konechnykh elementov, Nauka, M., 1989
8.	Shaidurov V. V., “Cascadic algorithm with nested subspaces in domains with curvilinear boundary”, Advanced Mathematics: Computations and Applications, eds. A. S. Alekseev and N. S. Bakhvalov, NCC Publisher, Novosibirsk, 1995, 588–595
9.	Gileva L. V., “Kaskadnyi mnogosetochnyi algoritm v metode konechnykh elementov dlya trekhmernoi zadachi Dirikhle”, Sib. zhurn. vychisl. matematiki / RAN. Sib. otd-nie. — Novosibirsk, 1:3 (1998), 217–226
10.	Ladyzhenskaya O. A., Uraltseva N. N., Lineinye i kvazilineinye uravneniya ellipticheskogo tipa, Nauka, M., 1973
11.	Gileva L. V., Shaidurov V. V., “Obosnovanie asimptoticheskoi ustoichivosti algoritma triangulyatsii trekhmernoi oblasti”, Sib. zhurn. vychisl. matematiki / RAN. Sib. otd-nie. — Novosibirsk, 3:2 (2000), 123–136
12.	Syarle F., Metod konechnykh elementov dlya ellipticheskikh zadach, Mir, M., 1980
13.	Korn G., Korn T., Spravochnik po matematike dlya nauchnykh rabotnikov i inzhenerov, Nauka, M., 1984
14.	Voevodin V. V., Kuznetsov V. V., Matritsy i vychisleniya, Nauka, M., 1984
15.	Bey J., “Tetrahedral grid refinement”, Computing, 55 (1995), 355–378