numerical methods for solving partial differential equations, finite element method,
mechanics of solid bodies.
Main publications:
V.G. Korneev, Skhemy metoda konechnykh elementov vysokikh poryadkov tochnosti, Izd-vo Leningradskogo gos. universiteta, L., 1977
V. Korneev and U. Langer, Approximate solution of theory of plastic flow theory problems., Teubner-Texte fur Mathematik, 69, BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1984
V. Korneev and U. Langer, “Domain Decomposition Methods and Precon-ditioning”, Encyclopedia of Computational Mechanics, 1 (2004), 617–647, John Wiley & Sons, Ltd
V.G. Korneev, I.E. Anufriev, V.S. Kostylev, “Exactly equilibrated fields, can they be efficiently used for a posteriori error estimation?”, Uchenye zapiski Kazanskogo gos. universiteta. Seriya fiziko-matematicheskie nauki, 148:4 (2006), 94–143
V. Korneev, A. Rytov, “Diskretizatsii trekhmernykh ellipticheskikh kraevykh zadach spektralnymi elementami i metody dekompozitsii oblasti”, Zhurnal vychislitelnoi matematiki i matem. fiziki, 47:10 (2007), 1754–1772
