A two-level stochastic collocation method for semilinear elliptic equations with random coefficients
- Authors:
- Publication Date:
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1781266
- Alternate Identifier(s):
- OSTI ID: 1410838
- Grant/Contract Number:
- AC05-76RL01830
- Resource Type:
- Published Article
- Journal Name:
- Journal of Computational and Applied Mathematics
- Additional Journal Information:
- Journal Name: Journal of Computational and Applied Mathematics Journal Volume: 315 Journal Issue: C; Journal ID: ISSN 0377-0427
- Publisher:
- Elsevier
- Country of Publication:
- Belgium
- Language:
- English
Citation Formats
Chen, Luoping, Zheng, Bin, Lin, Guang, and Voulgarakis, Nikolaos. A two-level stochastic collocation method for semilinear elliptic equations with random coefficients. Belgium: N. p., 2017.
Web. doi:10.1016/j.cam.2016.10.030.
Chen, Luoping, Zheng, Bin, Lin, Guang, & Voulgarakis, Nikolaos. A two-level stochastic collocation method for semilinear elliptic equations with random coefficients. Belgium. https://doi.org/10.1016/j.cam.2016.10.030
Chen, Luoping, Zheng, Bin, Lin, Guang, and Voulgarakis, Nikolaos. Mon .
"A two-level stochastic collocation method for semilinear elliptic equations with random coefficients". Belgium. https://doi.org/10.1016/j.cam.2016.10.030.
@article{osti_1781266,
title = {A two-level stochastic collocation method for semilinear elliptic equations with random coefficients},
author = {Chen, Luoping and Zheng, Bin and Lin, Guang and Voulgarakis, Nikolaos},
abstractNote = {},
doi = {10.1016/j.cam.2016.10.030},
journal = {Journal of Computational and Applied Mathematics},
number = C,
volume = 315,
place = {Belgium},
year = {Mon May 01 00:00:00 EDT 2017},
month = {Mon May 01 00:00:00 EDT 2017}
}
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1016/j.cam.2016.10.030
https://doi.org/10.1016/j.cam.2016.10.030
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 9 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics
journal, January 2009
- Najm, Habib N.
- Annual Review of Fluid Mechanics, Vol. 41, Issue 1
An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations
journal, May 2009
- Ma, Xiang; Zabaras, Nicholas
- Journal of Computational Physics, Vol. 228, Issue 8
A two-grid method for expanded mixed finite-element solution of semilinear reaction-diffusion equations
journal, January 2003
- Chen, Yanping; Huang, Yunqing; Yu, Dehao
- International Journal for Numerical Methods in Engineering, Vol. 57, Issue 2
Modeling uncertainty in flow simulations via generalized polynomial chaos
journal, May 2003
- Xiu, Dongbin; Karniadakis, George Em
- Journal of Computational Physics, Vol. 187, Issue 1
A Two-Level Method with Backtracking for the Navier--Stokes Equations
journal, October 1998
- Layton, W.; Tobiska, L.
- SIAM Journal on Numerical Analysis, Vol. 35, Issue 5
A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data
journal, January 2010
- Babuška, Ivo; Nobile, Fabio; Tempone, Raúl
- SIAM Review, Vol. 52, Issue 2
Nonlinear Galerkin methods and mixed finite elements: two-grid algorithms for the Navier-Stokes equations
journal, July 1994
- Ammi, Ali Ait Ou; Marion, Martine
- Numerische Mathematik, Vol. 68, Issue 2
A Novel Two-Grid Method for Semilinear Elliptic Equations
journal, January 1994
- Xu, Jinchao
- SIAM Journal on Scientific Computing, Vol. 15, Issue 1
A priori error estimates for finite element methods with numerical quadrature for nonmonotone nonlinear elliptic problems
journal, December 2011
- Abdulle, Assyr; Vilmart, Gilles
- Numerische Mathematik, Vol. 121, Issue 3
Stochastic Collocation Methods for Nonlinear Parabolic Equations with Random Coefficients
journal, January 2016
- Barajas-Solano, David A.; Tartakovsky, Daniel M.
- SIAM/ASA Journal on Uncertainty Quantification, Vol. 4, Issue 1
The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
journal, January 2002
- Xiu, Dongbin; Karniadakis, George Em
- SIAM Journal on Scientific Computing, Vol. 24, Issue 2
A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data
journal, January 2008
- Nobile, F.; Tempone, R.; Webster, C. G.
- SIAM Journal on Numerical Analysis, Vol. 46, Issue 5
A two-grid discretization scheme for eigenvalue problems
journal, August 1999
- Xu, Jinchao; Zhou, Aihui
- Mathematics of Computation, Vol. 70, Issue 233
Monte Carlo and quasi-Monte Carlo methods
journal, January 1998
- Caflisch, Russel E.
- Acta Numerica, Vol. 7
A Stochastic Projection Method for Fluid Flow
journal, September 2002
- Le Maı̂tre, Olivier P.; Reagan, Matthew T.; Najm, Habib N.
- Journal of Computational Physics, Vol. 181, Issue 1
A Non-Intrusive Polynomial Chaos Method For Uncertainty Propagation in CFD Simulations
conference, June 2012
- Hosder, Serhat; Walters, Robert; Perez, Rafael
- 44th AIAA Aerospace Sciences Meeting and Exhibit
Two-grid finite element formulations of the incompressible Navier-Stokes equations
journal, August 1997
- Utnes, T.
- Communications in Numerical Methods in Engineering, Vol. 13, Issue 8
Monte Carlo Solution of Nonlinear Vibrations
journal, January 1972
- Shinozuka, M.; Wen, Y. -K.
- AIAA Journal, Vol. 10, Issue 1
High-Order Collocation Methods for Differential Equations with Random Inputs
journal, January 2005
- Xiu, Dongbin; Hesthaven, Jan S.
- SIAM Journal on Scientific Computing, Vol. 27, Issue 3
A Stochastic Projection Method for Fluid Flow
journal, November 2001
- Le Maı̂ tre, Olivier P.; Knio, Omar M.; Najm, Habib N.
- Journal of Computational Physics, Vol. 173, Issue 2
Analysis of two-grid methods for reaction-diffusion equations by expanded mixed finite element methods
journal, January 2006
- Chen, Yanping; Liu, Huan-Wen; Liu, Shang
- International Journal for Numerical Methods in Engineering, Vol. 69, Issue 2
Stochastic Modeling of Flow-Structure Interactions Using Generalized Polynomial Chaos
journal, October 2001
- Xiu, Dongbin; Lucor, Didier; Su, C. -H.
- Journal of Fluids Engineering, Vol. 124, Issue 1
Two-Grid Discretization Techniques for Linear and Nonlinear PDE s
journal, October 1996
- Xu, Jinchao
- SIAM Journal on Numerical Analysis, Vol. 33, Issue 5
A Two-Grid Discretization Scheme for Semilinear Elliptic Eigenvalue Problems
journal, January 2006
- Chien, C. S.; Jeng, B. W.
- SIAM Journal on Scientific Computing, Vol. 27, Issue 4
A Two-Grid Finite Difference Scheme for Nonlinear Parabolic Equations
journal, April 1998
- Dawson, Clint N.; Wheeler, Mary F.; Woodward, Carol S.
- SIAM Journal on Numerical Analysis, Vol. 35, Issue 2
Finite element solution of nonlinear elliptic problems
journal, July 1986
- Feistauer, Miloslav; Ženíšek, Alexander
- Numerische Mathematik, Vol. 50, Issue 4
Newton-Multigrid for Biological Reaction-Diffusion Problems with Random Coefficients
journal, June 2012
- Rosseel, Eveline
- Numerical Mathematics: Theory, Methods and Applications, Vol. 5, Issue 1
A stochastic mixed finite element heterogeneous multiscale method for flow in porous media
journal, June 2011
- Ma, Xiang; Zabaras, Nicholas
- Journal of Computational Physics, Vol. 230, Issue 12
Mixed Multiscale Finite Element Methods for Stochastic Porous Media Flows
journal, January 2008
- Aarnes, J. E.; Efendiev, Y.
- SIAM Journal on Scientific Computing, Vol. 30, Issue 5
A Multiscale Data-Driven Stochastic Method for Elliptic PDEs with Random Coefficients
journal, January 2015
- Zhang, Zhiwen; Ci, Maolin; Hou, Thomas Y.
- Multiscale Modeling & Simulation, Vol. 13, Issue 1
Numerical comparison of three stochastic methods for nonlinear PN junction problems
journal, December 2013
- Yao, Wenqi; Lu, Tiao
- Frontiers of Mathematics in China, Vol. 9, Issue 3
Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations
journal, January 2004
- Babuska, Ivo; Tempone, Raúl; Zouraris, Georgios E.
- SIAM Journal on Numerical Analysis, Vol. 42, Issue 2