为进一步活跃校园学术氛围，加强中白教师之间的学术交流，2018年11月6日上午，我院邀请来自白俄罗斯国立大学两位力学方向的学者为相关师生进行学术讲座。VOLKOV VASILY教授和MARMYSH DENIS副教授分别以“Spectral methods for numerical simulation of counter propagating optical waves interaction in nonlinear media”和“Boundary element method for distributed load and its applications”为题，为大家带来了一场精彩的学术讲座。
《Spectral methods for numerical simulation of counter propagating optical waves interaction in nonlinear media》
Chebyshev spectral methods for two-point boundary value problems describing the processes of counterpropagating optical waves interaction in media with nonlinear refractive index are considered. On an example of linear problem fort the case of the media with periodic modulation of the refractive index, it is shown that the spectral method provide a given accuracy in two-three orders faster in comparison with the spline collocation method of the 5th accuracy order. Moreover, Chebyshev mesh has natural adaptive properties for such kind of the problems. A conservative iterative algorithm for implementation of the nonlinear spectral model is proposed. The proposed iterative method has convergence rate comparable with the Newton's method and has less sensitivity to the initial guess. On the base of the proposed numerical methods the bistability effect in the optical fiber amplifiers with bidirectional pumping is predicted.
《Boundary element method for distributed load and its applications》
At present time boundary element method is well developed. However, for its successful application in solving specific engineering problems, it is necessary to have fundamental solutions for concentrated load. Fundamental solutions for concentrated load have a singularity at the load application point. Preliminary integration of fundamental solutions allows to obtain solutions limited in the field of load distribution. In the paper solutions for distributed load on the elastic half-plane and plane segment obtained and also obtained for the elastic half-space and space some subdomains. The solutions were used to develop numerical algorithms for the boundary element method. The results were used to calculate the stress-strain state and damageability of the roller / shaft contact problem and also in the researching of some dynamic problems of elasticity theory.