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ArticleOn solving elliptic stochastic partial differential equations

Ivo M. Babuska2002

Article2002

On solving elliptic stochastic partial differential equations

Ivo M. Babuska · Panagiotis Chatzipantelidis

198 citations·0/0 files stored·Computer Methods in Applied Mechanics and Engineering

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Probabilistic and Robust Engineering Design Advanced Numerical Methods in Computational Mathematics Differential Equations and Boundary Problems

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References

1991Stochastic Finite Elements: A Spectral Approach 1987Stochastic Differential Equations: An Introduction with Applications.1998Verification and Validation in Computational Science and Engineering 2006Stochastic Differential Equations—An Introduction With Applications 2003Modeling uncertainty in flow simulations via generalized polynomial chaos 1986Random field finite elements 1980The stochastic finite-element method 1989Stochastic Finite Element Expansion for Random Media

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2006On the construction and analysis of stochastic models: Characterization and propagation of the errors associated with limited data 2007Stochastic model reduction for chaos representations 2005Non-Gaussian positive-definite matrix-valued random fields for elliptic stochastic partial differential operators 2009Recent Developments in Spectral Stochastic Methods for the Numerical Solution of Stochastic Partial Differential Equations 2006Long-term behavior of polynomial chaos in stochastic flow simulations

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Year2002

Typearticle

Published2002-08-01

VenueComputer Methods in Applied Mechanics and Engineering

ISSN-L0045-7825

Languageen

Citations198

Files0 public / 0

ShelfProbabilistic and Robust Engineering Design

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doi10.1016/s0045-7825(02)00354-7

openalex_workW2160786691

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2005

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