Stochastic projection schemes for deterministic linear elliptic partial differential equations on random domains

DOI10.1002/nme.3004zbMath1217.76065OpenAlexW2117806045MaRDI QIDQ3018016

P. Surya Mohan, Andy J. Keane, Prasanth B. Nair

Publication date: 20 July 2011

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.3004

zbMATH Keywords

polynomial chaosgeometric uncertaintystochastic reduced basis methodsstochastic mesh deformation

Mathematics Subject Classification ID

Related Items (14)

Analysis of the domain mapping method for elliptic diffusion problems on random domains ⋮ Second Moment Analysis for Robin Boundary Value Problems on Random Domains ⋮ The second order perturbation approach for elliptic partial differential equations on random domains ⋮ Stochastic finite elements of discretely parameterized random systems on domains with boundary uncertainty ⋮ A massively parallel implementation of multilevel Monte Carlo for finite element models ⋮ Numerical solution of the homogeneous Neumann boundary value problem on domains with a thin layer of random thickness ⋮ A stochastic finite element scheme for solving partial differential equations defined on random domains ⋮ Method of Green's potentials for elliptic PDEs in domains with random apertures ⋮ Uncertainty quantification for random domains using periodic random variables ⋮ Fictitious domain method and separated representations for the solution of boundary value problems on uncertain parameterized domains ⋮ Numerical Solution of the Poisson Equation on Domains with a Thin Layer of Random Thickness ⋮ Combination Technique Based Second Moment Analysis for Elliptic PDEs on Random Domains ⋮ Quantifying the uncertainty in a hyperelastic soft tissue model with stochastic parameters ⋮ Multilevel quadrature for elliptic problems on random domains by the coupling of FEM and BEM

Uses Software

• PATSYM
• HRMSYM

Cites Work

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