A Finite Element Method for Random Differential Equations with Random Coefficients

Tze-Chien Sun

doi:10.1137/0716075

A Finite Element Method for Random Differential Equations with Random Coefficients

SIAM Journal on Numerical Analysis ◽

10.1137/0716075 ◽

1979 ◽

Vol 16 (6) ◽

pp. 1019-1035 ◽

Cited By ~ 41

Author(s):

Tze-Chien Sun

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Differential Equations ◽

Random Coefficients ◽

Random Differential Equations ◽

Element Method

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A MULTIMODES MONTE CARLO FINITE ELEMENT METHOD FOR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS WITH RANDOM COEFFICIENTS

International Journal for Uncertainty Quantification ◽

10.1615/int.j.uncertaintyquantification.2016016805 ◽

2016 ◽

Vol 6 (5) ◽

pp. 429-443 ◽

Cited By ~ 1

Author(s):

Xiaobing Feng ◽

Junshan Lin ◽

Cody Lorton

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Monte Carlo ◽

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Random Coefficients ◽

Partial Differential ◽

Element Method

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Galerkin finite element method for nonlinear fractional differential equations

Numerical Algorithms ◽

10.1007/s11075-020-01032-2 ◽

2021 ◽

Author(s):

Khadijeh Nedaiasl ◽

Raziyeh Dehbozorgi

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Differential Equations ◽

Fractional Differential Equations ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Nonlinear Fractional Differential Equations ◽

Fractional Differential ◽

Element Method

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A Petrov-Galerkin finite element method using polyfractonomials to solve stochastic fractional differential equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.05.031 ◽

2021 ◽

Author(s):

Nazanin Abedini ◽

Ali Foroush Bastani ◽

Bijan Zohouri Zangeneh

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Differential Equations ◽

Fractional Differential Equations ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Fractional Differential ◽

Stochastic Fractional Differential Equations ◽

Element Method

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A multilevel sparse kernel-based stochastic collocation finite element method for elliptic problems with random coefficients

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2018.07.041 ◽

2018 ◽

Vol 76 (8) ◽

pp. 1950-1965 ◽

Cited By ~ 2

Author(s):

Zhaonan Dong ◽

Emmanuil H. Georgoulis ◽

Jeremy Levesley ◽

Fuat Usta

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elliptic Problems ◽

Random Coefficients ◽

Stochastic Collocation ◽

Sparse Kernel ◽

Element Method

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Numerical Solutions of Partial Differential Equations by the Finite Element Method

The Mathematical Gazette ◽

10.2307/3618226 ◽

1989 ◽

Vol 73 (463) ◽

pp. 59

Author(s):

F. B. Ellerby ◽

C. Johnson

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Numerical Solutions ◽

The Finite Element Method ◽

Partial Differential ◽

Element Method

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THE FINITE ELEMENT METHOD FOR ELLIPTIC DIFFERENTIAL EQUATIONS**This research was supported in part by the National Science Foundation under Grant No, NSF GU 2061 and in part by the Atomic Energy Commission under Contract No. AEC AT(40–1) 3443/3.

Numerical Solution of Partial Differential Equations–II ◽

10.1016/b978-0-12-358502-8.50007-4 ◽

1971 ◽

pp. 69-106 ◽

Cited By ~ 2

Author(s):

Ivo Babuška

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Differential Equations ◽

National Science Foundation ◽

Atomic Energy Commission ◽

Atomic Energy ◽

The Finite Element Method ◽

Elliptic Differential Equations ◽

National Science ◽

Element Method

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On Effective Stochastic Galerkin Finite Element Method for Stochastic Optimal Control Governed by Integral-Differential Equations with Random Coefficients

Journal of Computational Mathematics ◽

10.4208/jcm.1611-m2016-0676 ◽

2018 ◽

Vol 36 (2) ◽

pp. 183-201 ◽

Cited By ~ 1

Author(s):

Wanfang Shen and Liang Ge

Keyword(s):

Finite Element Method ◽

Optimal Control ◽

Finite Element ◽

Differential Equations ◽

Stochastic Optimal Control ◽

Random Coefficients ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Stochastic Galerkin ◽

Integral Differential Equations

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A B-spline finite element method for nonlinear differential equations describing crystal surface growth with variable coefficient

Advances in Difference Equations ◽

10.1186/s13662-019-2032-5 ◽

2019 ◽

Vol 2019 (1) ◽

Cited By ~ 1

Author(s):

Dandan Qin ◽

Yanwei Du ◽

Bo Liu ◽

Wenzhu Huang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Differential Equations ◽

Variable Coefficient ◽

Crystal Surface ◽

Nonlinear Differential Equations ◽

Surface Growth ◽

B Spline ◽

Spline Finite Element ◽

Element Method

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A multiscale finite element method for partial differential equations posed in domains with rough boundaries

Mathematics of Computation ◽

10.1090/s0025-5718-08-02159-5 ◽

2009 ◽

Vol 78 (265) ◽

pp. 25-25 ◽

Cited By ~ 9

Author(s):

Alexandre L. Madureira

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential ◽

Multiscale Finite Element Method ◽

Multiscale Finite Element ◽

Rough Boundaries ◽

Element Method

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Elliptic systems of partial differential equations and the finite element method

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(83)90020-3 ◽

1983 ◽

Vol 94 (1) ◽

pp. 283-295 ◽

Cited By ~ 1

Author(s):

Brian M O'Connor

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Systems ◽

The Finite Element Method ◽

Partial Differential ◽

Element Method

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