Fictitious domain method and separated representations for the solution of boundary value problems on uncertain parameterized domains

DOI10.1016/j.cma.2011.07.002zbMath1230.65135OpenAlexW2022856309MaRDI QIDQ660305

E. Safatly, M. Chevreuil, Anthony Nouy

Publication date: 1 February 2012

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2011.07.002

zbMATH Keywords

fictitious domain methoduncertainty quantificationproper generalized decompositiontensor product approximationspectral stochastic methodsrandom domain

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Probabilistic methods, particle methods, etc. for boundary value problems involving PDEs (65N75)

Related Items (11)

Embedded domain reduced basis models for the shallow water hyperbolic equations with the shifted boundary method ⋮ Second Moment Analysis for Robin Boundary Value Problems on Random Domains ⋮ A localized reduced basis approach for unfitted domain methods on parameterized geometries ⋮ A stochastic finite element scheme for solving partial differential equations defined on random domains ⋮ A domain mapping approach for elliptic equations posed on random bulk and surface domains ⋮ Existence of solutions for fractional differential inclusions with separated boundary conditions in Banach space ⋮ Fast validation of stochastic structural models using a PGD reduction scheme ⋮ Uncertainty quantification in computational stochastic multiscale analysis of nonlinear elastic materials ⋮ A multiscale method with patch for the solution of stochastic partial differential equations with localized uncertainties ⋮ A multiscale method for semi-linear elliptic equations with localized uncertainties and non-linearities ⋮ \textit{A posteriori} error estimation and adaptive strategy for PGD model reduction applied to parametrized linear parabolic problems

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