Iterative Solvers for a Spectral Galerkin Approach to Elliptic Partial Differential Equations with Fuzzy Coefficients

DOI10.1137/120881592zbMath1282.35403OpenAlexW2143655401MaRDI QIDQ2870703

Samuel Corveleyn, Stefan Vandewalle, Eveline Rosseel

Publication date: 21 January 2014

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/f9dda46e4c8cb2cebef03e4e35aee06f9bc6443d

zbMATH Keywords

Chebyshev polynomialsFourier analysismultigridspectral methodfuzzy partial differential equationsepistemic uncertaintypolynomial chaos

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Preconditioners for iterative methods (65F08) Fuzzy partial differential equations (35R13)

Related Items (6)

Enhanced alternating energy minimization methods for stochastic Galerkin matrix equations ⋮ Robust boundary conditions for stochastic incompletely parabolic systems of equations ⋮ Computation of the output of a function with fuzzy inputs based on a low-rank tensor approximation ⋮ A differential quadrature-based approach à la Picard for systems of partial differential equations associated with fuzzy differential equations ⋮ Fuzzy-Stochastic Partial Differential Equations ⋮ A dual-layer dimension-wise fuzzy finite element method for structural analysis with epistemic uncertainties

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