A hybrid collocation-perturbation approach for PDEs with random domains

DOI10.1007/s10444-021-09859-6zbMath1479.65033arXiv1703.10040OpenAlexW4297795075WikidataQ114227755 ScholiaQ114227755MaRDI QIDQ2044098

Julio E. Castrillón-Candás, Fabio Nobile, Raúl Tempone

Publication date: 4 August 2021

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.10040

zbMATH Keywords

finite elementsperturbationcomplex analysisstochastic PDEsuncertainty quantificationstochastic collocationSmolyak sparse grids

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Perturbations in context of PDEs (35B20) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (6)

A stochastic finite element scheme for solving partial differential equations defined on random domains ⋮ Hierarchical matrix approximation for the uncertainty quantification of potentials on random domains ⋮ On Uncertainty Quantification of Eigenvalues and Eigenspaces with Higher Multiplicity ⋮ A note on the domain mapping method with rough diffusion coefficients ⋮ Isogeometric multilevel quadrature for forward and inverse random acoustic scattering ⋮ Tensor train based isogeometric analysis for PDE approximation on parameter dependent geometries

Uses Software

• Spinterp
• Sparse Grid Interpolation
• Sparse grids Matlab kit

Cites Work

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