- Tytuł:
- Time integration of stochastic generalized equations of motion using SSFEM
- Autorzy:
- Poński, Mariusz
- Powiązania:
- https://bibliotekanauki.pl/articles/280057.pdf
- Data publikacji:
- 2019
- Wydawca:
- Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
- Tematy:
-
spectral stochastic finite element method
time integration
heat waves - Opis:
- The paper develops an integration approach to stochastic nonlinear partial differential equations (SPDE’s) with parameters to be random fields. The methodology is based upon assumption that random fields are from a special class of functions, and can be described as a product of two functions with dependent and independent random variables. Such an approach allows one to use Karhunen-Lo`eve expansion directly, and the modified stochastic spectral finite element method (SSFEM). It is assumed that a random field is stationary and Gaussian while the autocovariance function is known. A numerical example of onedimensional heat waves analysis is shown.
- Źródło:
-
Journal of Theoretical and Applied Mechanics; 2019, 57, 1; 37-48
1429-2955 - Pojawia się w:
- Journal of Theoretical and Applied Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł