Modeling Uncertainty in Steady State Diffusion Problems via Generalized Polynomial Chaos

Xiu, D., & Em Karniadakis, G. (2002). Modeling Uncertainty in Steady State Diffusion Problems via Generalized Polynomial Chaos. Computer Methods in Applied Mechanics and Engineering, 7825(02), 4927-4948.

Type

Journal article

Intellectual base

Primary research

Year

2002

DOI

10.1016/s0045-7825(02)00421-8

Link

https://doi.org/10.1016/S0045-7825(02)00421-8

Cited by

1 citation across 1 artifact.

Domain-specific

• Polynomial Chaos Expansion
  • Xiu and Karniadakis generalized classical Gaussian/Hermite chaos to distribution-matched polynomial families and applied it to stochastic differential equations. Related work uses generalized chaos for elliptic and flow problems with uncertain coefficients, forcing, or boundaries.

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