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Title: A two-level stochastic collocation method for semilinear elliptic equations with random coefficients

Journal Article · · Journal of Computational and Applied Mathematics
; ; ;

Sponsoring Organization:
USDOE
Grant/Contract Number:
AC05-76RL01830
OSTI ID:
1781266
Alternate ID(s):
OSTI ID: 1410838
Journal Information:
Journal of Computational and Applied Mathematics, Journal Name: Journal of Computational and Applied Mathematics Vol. 315 Journal Issue: C; ISSN 0377-0427
Publisher:
ElsevierCopyright Statement
Country of Publication:
Belgium
Language:
English
Citation Metrics:
Cited by: 9 works
Citation information provided by
Web of Science

References (32)

Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics journal January 2009
An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations journal May 2009
A two-grid method for expanded mixed finite-element solution of semilinear reaction-diffusion equations journal January 2003
Modeling uncertainty in flow simulations via generalized polynomial chaos journal May 2003
A Two-Level Method with Backtracking for the Navier--Stokes Equations journal October 1998
A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data journal January 2010
Nonlinear Galerkin methods and mixed finite elements: two-grid algorithms for the Navier-Stokes equations journal July 1994
A Novel Two-Grid Method for Semilinear Elliptic Equations journal January 1994
A priori error estimates for finite element methods with numerical quadrature for nonmonotone nonlinear elliptic problems journal December 2011
Stochastic Collocation Methods for Nonlinear Parabolic Equations with Random Coefficients journal January 2016
The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations journal January 2002
A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data journal January 2008
A two-grid discretization scheme for eigenvalue problems journal August 1999
Monte Carlo and quasi-Monte Carlo methods journal January 1998
A Stochastic Projection Method for Fluid Flow journal September 2002
A Non-Intrusive Polynomial Chaos Method For Uncertainty Propagation in CFD Simulations conference June 2012
Two-grid finite element formulations of the incompressible Navier-Stokes equations journal August 1997
Monte Carlo Solution of Nonlinear Vibrations journal January 1972
High-Order Collocation Methods for Differential Equations with Random Inputs journal January 2005
A Stochastic Projection Method for Fluid Flow journal November 2001
Analysis of two-grid methods for reaction-diffusion equations by expanded mixed finite element methods journal January 2006
Stochastic Modeling of Flow-Structure Interactions Using Generalized Polynomial Chaos journal October 2001
Two-Grid Discretization Techniques for Linear and Nonlinear PDE s journal October 1996
A Two-Grid Discretization Scheme for Semilinear Elliptic Eigenvalue Problems journal January 2006
A Two-Grid Finite Difference Scheme for Nonlinear Parabolic Equations journal April 1998
Finite element solution of nonlinear elliptic problems journal July 1986
Newton-Multigrid for Biological Reaction-Diffusion Problems with Random Coefficients journal June 2012
A stochastic mixed finite element heterogeneous multiscale method for flow in porous media journal June 2011
Mixed Multiscale Finite Element Methods for Stochastic Porous Media Flows journal January 2008
A Multiscale Data-Driven Stochastic Method for Elliptic PDEs with Random Coefficients journal January 2015
Numerical comparison of three stochastic methods for nonlinear PN junction problems journal December 2013
Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations journal January 2004

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