Сопряженные уравнения, апостериорная оценка погрешности, обратные задачи, аэрогазодинамики и теплообмен.
Основные публикации:
A.K. Alekseev I.M. Navon, “The analysis of an ill-posed problem using multiscale resolution and second order adjoint techniques”, Computer Methods in Appl. Mech. and Eng., 190:15-17 (2001), 1937–1953
A.K. Alekseev I.M. Navon, “On a-posteriori pointwise error estimation using adjoint temperature and lagrange remainder”, Computer Methods in Appl. Mech. and Eng., 194:18-20 (2005), 2211–2228
A.K.Alekseev, “On Estimation of entrance boundary parameters from downstream measurements using ajoint approach”, Int J. for Numerical Methods in Fluids, 36 (2001), 971–982
A.K. Alekseev I.M. Navon, “Adjoint Correction and Bounding of Error Using Lagrange Form of Truncation Term”, Computers & Mathematics with Applications, 50 (2005), 1311–1332
A.K.Alekseev I.M. Navon, “A Posteriori Error Estimation by Postprocessor Independent of Flowfield Calculation Method”, Computers & Mathematics with Applications, 51 (2006), 397–404
