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I. B. Petrov et al.
value which leads to island destruction. These results can be used in research and
explorational works on ice island.
Acknowledgements This work was carried out with the financial support of the Russian Science
Foundation, project no. 19-11-00023.
References
1. Crawford, A., Crocker, G., Mueller, D., Desjardins, L., Saper, R., Carrieres, T.: The canadian
ice island drift, deterioration and detection (CI2D3) database. J. Glaciology 64(245), 517–521
(2018)
2. Petrov, I.B.: Problems of modeling natural and anthropogenic processes in the arctic zone of
the Russian Federation. Math. Models Comput. Simul. 11, 226–246 (2019)
3. Xunqiang, Y., Jianbo, L., Chenglin, W., Gao, L.: ANSYS implementation of damping solvent
stepwise extraction method for nonlinear seismic analysis of large 3-D structures. Soil Dyn.
Earthq. Eng. 44, 139–152 (2013)
4. Nikolic, Z., Zivaljic, N., Smoljanovic, H., Balic, I.: Numerical modelling of reinforced concrete
structures under seismic loading based on the finite element method with discrete inter element
cracks. Earthq. Eng. Struct. Dyn. 46(1), 159–178 (2017)
5. Moczo, P., Robertsson, J.O., Eisner, L.: The finite-difference time-domain method for modeling
of seismic wave propagation. Adv. Geophys. 48, 421–516 (2007)
6. Komatitsch, D., Tromp, J.: Introduction to the spectral element method for three-dimensional
seismic wave propagation. Geophys. J. Int. 139(3), 806–822 (1999)
7. Wilcox, L.C., Stadler, G., Burstedde, C., Ghattas, O.: A high-order discontinuous Galerkin
method for wave propagation through coupled elastic-acoustic media. J. Comput. Phys.
229(24), 9373–9396 (2010)
8. De Basabe, J., Mrinal, S., Wheeler, M.: The interior penalty discontinuous Galerkin method
for elastic wave propagation: grid dispersion. Geophys. J. Int. 175(1), 83–93 (2008)
9. Favorskaya, A.V., Zhdanov, M.S., Khokhlov, N.I., Petrov, I.B.: Modeling the wave phenomena
in acoustic and elastic media with sharp variations of physical properties using the gridcharacteristic method. Geophys. Prospect. 66(8), 1485–1502 (2018)
10. Favorskaya, A.V., Breus, A.V., Galitskii, B.V.: Application of the grid-characteristic method
to the seismic isolation model. In: Petrov I.B., Favorskaya A.V., Favorskaya M.N., Simakov
S.S., Jain L.C. (eds.): Smart modeling for engineering systems. GCM50 2018. SIST, vol 133,
pp. 167–181. Springer, Cham (2019)
11. Nikitin, I.S., Burago, N.G., Golubev, V.I., Nikitin, A.D.: Methods for calculating the dynamics
of layered and block media with nonlinear contact conditions. In: Jain, L.C., Favorskaya,
M.N., Nikitin, I.S., Reviznikov, D.L. (eds.) Advances in Theory and Practice of Computational
Mechanics. SIST, vol. 173, pp. 171–183. Springer, Singapore (2020)
12. Golubev, V.I., Shevchenko, A.V., Petrov, I.B.: Taking into account fluid saturation of bottom
sediments in marine seismic survey. Doklady Math. 100(2), 488–490 (2019)
13. Muratov, M.V., Petrov, I.B.: Application of mathematical fracture models to simulation of
exploration seismology problems by the grid-characteristic method. Comput. Res. Model.
11(6), 1077–1082 (2019)
14. Petrov, I.B., Muratov, M.V.: Application of the grid-characteristic method to the solution of
direct problems in the seismic exploration of fractured formations (review). Math. Models
Comput. Simul. 11, 924–939 (2019)
I. B. Petrov et al.
value which leads to island destruction. These results can be used in research and
explorational works on ice island.
Acknowledgements This work was carried out with the financial support of the Russian Science
Foundation, project no. 19-11-00023.
References
1. Crawford, A., Crocker, G., Mueller, D., Desjardins, L., Saper, R., Carrieres, T.: The canadian
ice island drift, deterioration and detection (CI2D3) database. J. Glaciology 64(245), 517–521
(2018)
2. Petrov, I.B.: Problems of modeling natural and anthropogenic processes in the arctic zone of
the Russian Federation. Math. Models Comput. Simul. 11, 226–246 (2019)
3. Xunqiang, Y., Jianbo, L., Chenglin, W., Gao, L.: ANSYS implementation of damping solvent
stepwise extraction method for nonlinear seismic analysis of large 3-D structures. Soil Dyn.
Earthq. Eng. 44, 139–152 (2013)
4. Nikolic, Z., Zivaljic, N., Smoljanovic, H., Balic, I.: Numerical modelling of reinforced concrete
structures under seismic loading based on the finite element method with discrete inter element
cracks. Earthq. Eng. Struct. Dyn. 46(1), 159–178 (2017)
5. Moczo, P., Robertsson, J.O., Eisner, L.: The finite-difference time-domain method for modeling
of seismic wave propagation. Adv. Geophys. 48, 421–516 (2007)
6. Komatitsch, D., Tromp, J.: Introduction to the spectral element method for three-dimensional
seismic wave propagation. Geophys. J. Int. 139(3), 806–822 (1999)
7. Wilcox, L.C., Stadler, G., Burstedde, C., Ghattas, O.: A high-order discontinuous Galerkin
method for wave propagation through coupled elastic-acoustic media. J. Comput. Phys.
229(24), 9373–9396 (2010)
8. De Basabe, J., Mrinal, S., Wheeler, M.: The interior penalty discontinuous Galerkin method
for elastic wave propagation: grid dispersion. Geophys. J. Int. 175(1), 83–93 (2008)
9. Favorskaya, A.V., Zhdanov, M.S., Khokhlov, N.I., Petrov, I.B.: Modeling the wave phenomena
in acoustic and elastic media with sharp variations of physical properties using the gridcharacteristic method. Geophys. Prospect. 66(8), 1485–1502 (2018)
10. Favorskaya, A.V., Breus, A.V., Galitskii, B.V.: Application of the grid-characteristic method
to the seismic isolation model. In: Petrov I.B., Favorskaya A.V., Favorskaya M.N., Simakov
S.S., Jain L.C. (eds.): Smart modeling for engineering systems. GCM50 2018. SIST, vol 133,
pp. 167–181. Springer, Cham (2019)
11. Nikitin, I.S., Burago, N.G., Golubev, V.I., Nikitin, A.D.: Methods for calculating the dynamics
of layered and block media with nonlinear contact conditions. In: Jain, L.C., Favorskaya,
M.N., Nikitin, I.S., Reviznikov, D.L. (eds.) Advances in Theory and Practice of Computational
Mechanics. SIST, vol. 173, pp. 171–183. Springer, Singapore (2020)
12. Golubev, V.I., Shevchenko, A.V., Petrov, I.B.: Taking into account fluid saturation of bottom
sediments in marine seismic survey. Doklady Math. 100(2), 488–490 (2019)
13. Muratov, M.V., Petrov, I.B.: Application of mathematical fracture models to simulation of
exploration seismology problems by the grid-characteristic method. Comput. Res. Model.
11(6), 1077–1082 (2019)
14. Petrov, I.B., Muratov, M.V.: Application of the grid-characteristic method to the solution of
direct problems in the seismic exploration of fractured formations (review). Math. Models
Comput. Simul. 11, 924–939 (2019)