Title :
A Homotopic Approach to Domain Determination and Solution Refinement for the Fokker-Planck Equation
Author :
Kumar, Mrinal ; Chakravorty, Suman ; Junkins, John L.
Author_Institution :
Texas A&M Univ., College Station
Abstract :
An iterative homotopic approach for the solution refinement of the stationary Fokker-Planck equation is presented. It is shown that significant improvement in the accuracy of the approximation can be achieved with a small number of degrees of freedom with the use of a naturally suited norm on the solution domain. The partition of unity finite element method (PUFEM) is used for the numerical implementation.
Keywords :
Fokker-Planck equation; finite element analysis; iterative methods; Fokker-Planck equation; PUFEM; iterative homotopic approach; partition of unity finite element method; Cities and towns; Finite element methods; Integral equations; Iterative methods; Measurement standards; Probability density function; Stability; Steady-state; Stochastic processes; Uncertainty;
Conference_Titel :
American Control Conference, 2007. ACC '07
Conference_Location :
New York, NY
Print_ISBN :
1-4244-0988-8
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2007.4282977
