Seminar 2018-12-12 J Náprstek

Czech Society for Mechanics and Institute of Theoretical and Applied Mechanics, CAS, invite you to a lecture and discussion within the lecture series ITAM Seminar

Solution of the multi-dimensional Fokker-Planck equation by means
of Finite Element Method
given by
Ing. Jiří Náprstek, Dr.Sc.

Institute of Theoretical and Applied Mechanics, CAS.

Fokker–Planck equation is one of the most important tools for investigation of dynamic systems under random excitation. Finite Element Method represents very effective solution possibility particularly when transition processes are investigated or more detailed solution is needed. However, a number of specific problems must be overcome. They follow predominantly from the large multi-dimensionality of the Fokker–Planck equation, shape of the definition domain and usual requirements on the nature of the solution which are out of a conventional practice of the Finite Element employment. Unlike earlier studies it is coming to light that multi-dimensional simplex elements are the most suitable to be deployed. Moreover, new original algorithms for the multi-dimensional mesh generating were developed as well as original procedure of the governing differential and algebraic systems assembling and subsequent analysis. Finally, an illustrative example is presented together with aspects typical for the problem with large multi-dimensionality.

The team lead by dr. Náprstek received this year's Award of the CAS for outstanding results of great scientific significance for research conducted on the topic of the announced lecture.

The lecture will be held on Wednesday, December 12, 2018 at 10:00 AM in the building of the Institute of Theoretical and Applied Mechanics, Prosecká 76, 190 00, Prague 9
 

( pdf )