A Homotopic Approach to Domain Determination and Solution Refinement for the Fokker-Planck Equation Conference Paper

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. 2007 IEEE.

name of conference

• 2007 American Control Conference

authors

• Chakravorty, Suman
• Junkins, John

published proceedings

• Proceedings of the 2010 American Control Conference

author list (cited authors)

• Kumar, M., Chakravorty, S., & Junkins, J. L.

citation count

• 2

complete list of authors

• Kumar, Mrinal||Chakravorty, Suman||Junkins, John L

publication date

• January 2007

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• Proceedings of the ... American Control Conference. American Control Conference  Journal

keywords

• Cities And Towns
• Finite Element Methods
• Integral Equations
• Iterative Methods
• Measurement Standards
• Probability Density Function
• STABILITY
• Steady-state
• Stochastic Processes
• Uncertainty

Digital Object Identifier (DOI)

• 10.1109/acc.2007.4282977

International Standard Book Number (ISBN) 10

• 1424409888

International Standard Book Number (ISBN) 13

• 9781424409884

start page

• 1045

end page

• 1050

URL

• http%3A%2F%2Fdx.doi.org%2F10.1109%2Facc.2007.4282977