Publications "Novel Numerical Approaches in Underwater Acoustics"

Bergische Universität Wuppertal
Fachbereich Mathematik und Naturwissenschaften
Applied and Computational Mathematics (ACM)

Team Research Publications Teaching

Publications "Novel Numerical Approaches in Underwater Acoustics"

Summary

References

S. Pereselkov, M. Ehrhardt, and P. Petrov (eds.), Underwater Acoustics and Digital Signal Processing, Special Issue of Journal of Marine Science and Engineering, 2023.
P.S. Petrov, M. Ehrhardt and M.Yu. Trofimov, On the decomposition of the fundamental solution of the Helmholtz equation via solutions of iterative parabolic equations, Asymptotic Analysis, vol. 126, no. 3-4 (2022), 215-228. DOI: 10.3233/ASY-211679
P.S. Petrov, M. Ehrhardt, A.G. Tyshchenko and P.N. Petrov, Wide-angle mode parabolic equations for the problems of underwater acoustics and their numerical solution on unbounded domains, Journal of Sound and Vibration, Volume 484 (2020), 115526. DOI: 10.1016/j.jsv.2020.115526
P. Petrov, D.V. Makarov and M. Ehrhardt, Wide-angle parabolic approximations for the nonlinear Helmholtz equation in the Kerr media, EPL, 116 (2016) 24004. DOI: 10.1209/0295-5075/116/24004
P. Petrov and M. Ehrhardt, Transparent boundary conditions for iterative high-order parabolic equations, J. Comput. Phys. Vol. 313 (May 2016), 144-158.
P. Petrov and M. Ehrhardt, On Mayfield's stability proof for the discretized transparent boundary condition for the parabolic equation, Appl. Math. Lett. Vol. 44, June 2015, 45-49.
A.G. Tyshchenko, P.S. Petrov and M. Ehrhardt, Wide-angle mode parabolic equation with transparent boundary conditions and its applications in shallow water acoustics, Proceedings of the International Conference DAYS on DIFFRACTION 2019, St.Petersburg, Russia, 2019.
P. Petrov, A.G. Tyshchenko and M. Ehrhardt, Numerical solution of iterative parabolic equations approximating the nonlinear Helmholtz equation, Proceedings of the International Conference DAYS on DIFFRACTION 2018, St.Petersburg, Russia, 2018.
P. Petrov, M. Ehrhardt and D.V. Makarov, Multiscale Approach to Parabolic Equations Derivation: Beyond the Linear Theory, Proceedings of ICCS 2017 International Conference on Computational Science, Zurich, 12-14 June, 2017, Procedia Computer Science, Volume 108, 2017, Pages 1823-1831. http://dx.doi.org/10.1016/j.procs.2017.05.085
H. Espinoza, R. Paredes and M. Ehrhardt, A New Two-Way Artificial Boundary Condition for Wave Propagation: Formulation and Benchmarking, 23rd AIAA/CEAS Aeroacoustics Conference, 2017 AIAA Aviation and Aeronautics Forum and Exposition, Colorado, 5-9 June 2017.
P. Petrov and M. Ehrhardt, Transparent boundary conditions for the high-order parabolic approximations, Proceedings of the International Conference DAYS on DIFFRACTION 2015, St.Petersburg, Russia, May 25-29, 2015, pp. 255-260.