Application of multi-scale finite element methods to the solution of the Fokker–Planck equation

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2004.06.041 ◽

2005 ◽

Vol 194 (12-16) ◽

pp. 1513-1526 ◽

Author(s):

Arif Masud ◽

Lawrence A. Bergman

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Planck Equation ◽

Multi Scale ◽

Fokker Planck Equation ◽

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Numerical Solution of the Fokker-Planck Equation by Spectral Collocation and Finite-Element Methods for Stochastic Magnetization Dynamics

IEEE Transactions on Magnetics ◽

10.1109/tmag.2021.3084335 ◽

2021 ◽

pp. 1-1

Author(s):

Valentino Scalera ◽

Patrizio Ansalone ◽

Salvatore Perna ◽

Claudio Serpico ◽

Massimiliano d'Aquino

Keyword(s):

Finite Element ◽

Numerical Solution ◽

Finite Element Methods ◽

Planck Equation ◽

Magnetization Dynamics ◽

Spectral Collocation ◽

Fokker Planck Equation ◽

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Numerical Solution of the Fokker–Planck Equation by Finite Difference and Finite Element Methods—A Comparative Study

Computational Methods in Stochastic Dynamics - Computational Methods in Applied Sciences ◽

10.1007/978-94-007-5134-7_5 ◽

2013 ◽

pp. 69-85 ◽

Author(s):

L. Pichler ◽

A. Masud ◽

L. A. Bergman

Keyword(s):

Finite Element ◽

Finite Difference ◽

Comparative Study ◽

Numerical Solution ◽

Finite Element Methods ◽

Planck Equation ◽

Fokker Planck Equation ◽

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Finite Element Method for the Space and Time Fractional Fokker–Planck Equation

SIAM Journal on Numerical Analysis ◽

10.1137/080714130 ◽

2009 ◽

Vol 47 (1) ◽

pp. 204-226 ◽

Author(s):

Weihua Deng

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Planck Equation ◽

Space And Time ◽

Fokker Planck Equation ◽

Element Method ◽

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A finite element/Fourier treatment of the Fokker–Planck equation

Journal of Computational Physics ◽

10.1016/j.jcp.2012.06.004 ◽

2012 ◽

Vol 231 (18) ◽

pp. 6192-6206 ◽

Author(s):

J. Andrew Spencer ◽

Jeong-Young Ji ◽

Eric D. Held

Keyword(s):

Finite Element ◽

Planck Equation ◽

Fokker Planck Equation ◽

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A finite element solution of a reduced Fokker-Planck equation

Journal of Computational Physics ◽

10.1016/0021-9991(81)90248-5 ◽

1981 ◽

Vol 42 (2) ◽

pp. 327-336 ◽

Author(s):

D. Fyfe ◽

A. Weiser ◽

I. Bernstein ◽

S. Eisenstat ◽

M. Schultz

Keyword(s):

Finite Element ◽

Planck Equation ◽

Finite Element Solution ◽

Element Solution ◽

Fokker Planck Equation ◽

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The application of the finite element library TWODEPEP for the numerical solution of the relativistic Fokker-Planck equation

Computer Physics Communications ◽

10.1016/0010-4655(87)90090-7 ◽

1987 ◽

Vol 46 (3) ◽

pp. 337-344 ◽

Author(s):

M. Shoucri ◽

V. Fuchs ◽

A. Bers

Keyword(s):

Finite Element ◽

Numerical Solution ◽

Planck Equation ◽

Fokker Planck Equation ◽

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Theoretical background and implementation of the finite element method for multi-dimensional Fokker–Planck equation analysis

Advances in Engineering Software ◽

10.1016/j.advengsoft.2017.02.013 ◽

2017 ◽

Vol 113 ◽

pp. 54-75 ◽

Author(s):

Radomil Král ◽

Jiří Náprstek

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Planck Equation ◽

Theoretical Background ◽

The Finite Element Method ◽

Fokker Planck Equation ◽

Equation Analysis ◽

Element Method ◽

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Evolutionary analysis of Fokker-Planck equation using multi-dimensional Finite Element Method

Procedia Engineering ◽

10.1016/j.proeng.2017.09.033 ◽

2017 ◽

Vol 199 ◽

pp. 735-740 ◽

Author(s):

Jiří Náprstek ◽

Radomil Král

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Planck Equation ◽

Evolutionary Analysis ◽

Fokker Planck Equation ◽

Dimensional Finite Element ◽

Element Method ◽

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Finite element solution of Fokker–Planck equation of nonlinear oscillators subjected to colored non-Gaussian noise

Probabilistic Engineering Mechanics ◽

10.1016/j.probengmech.2014.07.002 ◽

2014 ◽

Vol 38 ◽

pp. 143-155 ◽

Author(s):

Pankaj Kumar ◽

S. Narayanan ◽

Sayan Gupta

Keyword(s):

Finite Element ◽

Gaussian Noise ◽

Planck Equation ◽

Nonlinear Oscillators ◽

Finite Element Solution ◽

Element Solution ◽

Fokker Planck Equation ◽

Non Gaussian ◽

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The Partition of Unity Finite Element Approach to the Stationary Fokker-Planck Equation

AIAA/AAS Astrodynamics Specialist Conference and Exhibit ◽

10.2514/6.2006-6285 ◽

2006 ◽

Author(s):

Mrinal Kumar ◽

Puneet Singla ◽

Suman Chakravorty ◽

John Junkins

Keyword(s):

Finite Element ◽

Planck Equation ◽

Partition Of Unity ◽

Finite Element Approach ◽

Fokker Planck Equation ◽

Element Approach ◽

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