Possible research titles

• Solutions of the boundary value problem of elastic and acoustic wave equations using the author's method, based on a combination of analytical approaches and computational experiments.
• The development of numerical methods for solving this boundary-value problem, primarily from the family of grid-characteristic ones.

Supervisor’s research interests

The study of solutions of the boundary value problem of elastic and acoustic wave equations using the author's method, based on a combination of analytical approaches and computational experiments. The development of numerical methods for solving this boundary-value problem, primarily from the family of grid-characteristic ones

Research highlights

• Possible financial support for graduate student
• Possible publications in top rated journals
• Possible payment of trips and reports at international conferences

Main publications

• Favorskaya, A.V., Zhdanov, M.S., Khokhlov, N.I., Petrov, I.B. Modelling the wave phenomena in acoustic and elastic media with sharp variations of physical properties using the grid-characteristic method (2018) Geophysical Prospecting, 66 (8), pp. 1485-1502.
• Favorskaya, A.V., Petrov, I.B. A novel method for investigation of acoustic and elastic wave phenomena using numerical experiments (2020) Theoretical & Applied Mechanics Letters, in print.
• Favorskaya, A. A novel method for wave phenomena investigation (2019) Procedia Computer Science, 159, pp. 1208-1215.
• Favorskaya, A.V. Elastic wave scattering on a gas-filled fracture perpendicular to plane P-wave front (2020) Systems and Technologies, 173, pp. 213-224.
• Favorskaya, A.V., Petrov, I.B. The Use of Full-Wave Numerical Simulation for the Investigation of Fractured Zones (2019) Mathematical Models and Computer Simulations, 11 (4), pp. 518-530.
• Petrov, I.B., Favorskaya, A.V., Khokhlov, N.I. Grid-characteristic method on embedded hierarchical grids and its application in the study of seismic waves (2017) Computational Mathematics and Mathematical Physics, 57 (11), pp. 1771-1777.