A stochastic collocation approach for parabolic PDEs with random domain deformations

DOI10.1016/j.camwa.2021.04.005OpenAlexW2756670274WikidataQ114201532 ScholiaQ114201532MaRDI QIDQ2027571

Jie Xu, Julio E. Castrillón-Candás

Publication date: 27 May 2021

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.6818

zbMATH Keywords

complex analysisstochastic PDEsuncertainty quantificationstochastic collocationparabolic PDEsSmolyak sparse grids

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)

Related Items (3)

Isogeometric analysis of diffusion problems on random surfaces ⋮ Deep Neural Network Surrogates for Nonsmooth Quantities of Interest in Shape Uncertainty Quantification ⋮ A hybrid collocation-perturbation approach for PDEs with random domains

Uses Software

• Spinterp
• Sparse Grid Interpolation

Cites Work

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