The partition of unity finite element approach with hp-refinement for the stationary Fokker

The partition of unity finite element approach with hp-refinement for the stationary Fokker–Planck equation

Published:2009-10 Issue:1-2 Volume:327 Page:144-162
ISSN:0022-460X
Container-title:Journal of Sound and Vibration
language:en
Short-container-title:Journal of Sound and Vibration

Author:

Kumar Mrinal,Chakravorty Suman,Singla Puneet,Junkins John L.

Publisher

Elsevier BV

Subject

Mechanical Engineering,Mechanics of Materials,Acoustics and Ultrasonics,Condensed Matter Physics

Reference35 articles.

1. Analysis of nonlinear stochastic systems by means of the Fokker–Planck equation;Fuller;International Journal of Control,1969

2. H. Risken, The Fokker Planck Equation: Methods of Solution and Applications, Springer Series in Synergetics, Springer, Berlin.

3. Approximate solutions for nonlinear vibration problems;Polidori;Probabilistic Engineering Mechanics,1996

4. P.W. Chodas, D.K. Yeomans, Orbit determination and estimation of impact probability for near earth objects, Proceedings of the Guidance and Control, Advances in the Astronautical Sciences, Vol. 101, 1999, pp. 21–40.

5. On the theory of Brownian motion II;Wang;Reviews of Modern Physics,1945

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