Partitioned treatment of uncertainty in coupled domain problems: a separated representation approach
DOI10.1016/j.cma.2014.02.004zbMath1296.65158arXiv1305.6818OpenAlexW2023338596MaRDI QIDQ459303
Alireza Doostan, Mohammad Hadigol, Hermann G. Matthies, Rainer Niekamp
Publication date: 8 October 2014
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1305.6818
domain decompositioncoupled problemuncertainty quantificationseparated representationFETIstochastic decoupling
Factor analysis and principal components; correspondence analysis (62H25) Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Probabilistic methods, particle methods, etc. for boundary value problems involving PDEs (65N75) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
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- Tensor Decompositions and Applications
- Proper generalized decompositions and separated representations for the numerical solution of high dimensional stochastic problems
- A multiscale method with patch for the solution of stochastic partial differential equations with localized uncertainties
- A non-adapted sparse approximation of PDEs with stochastic inputs
- Reduced chaos decomposition with random coefficients of vector-valued random variables and random fields
- A stochastic-deterministic coupling method for continuum mechanics
- Automated solution of differential equations by the finite element method. The FEniCS book
- FETI and BDD preconditioners for Stokes-Mortar-Darcy systems
- Tensor-based techniques for the blind separation of DS-CDMA signals
- A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modeling of complex fluids
- Sparse high order FEM for elliptic sPDEs
- Non-overlapping domain decomposition methods in structural mechanics
- A least-squares approximation of partial differential equations with high-dimensional random inputs
- A generalized spectral decomposition technique to solve a class of linear stochastic partial differential equations
- Principal component analysis of three-mode data by means of alternating least squares algorithms
- Enhancing the performance of the FETI method with preconditioning techniques implemented on clusters of networked computers
- Kronecker-product approximations for some function-related matrices.
- The two-level FETI method for static and dynamic plate problems I: An optimal iterative solver for biharmonic systems
- Non-intrusive low-rank separated approximation of high-dimensional stochastic models
- Generalized spectral decomposition method for solving stochastic finite element equations: invariant subspace problem and dedicated algorithms
- Domain decomposition methods for large linearly elliptic three-dimensional problems
- FETI-DP: a dual-primal unified FETI method?part I: A faster alternative to the two-level FETI method
- FETI and Neumann-Neumann iterative substructuring methods: Connections and new results
- A FETI Preconditioner for Two Dimensional Edge Element Approximations of Maxwell's Equations on Nonmatching Grids
- Orthogonal Tensor Decompositions
- Reduced chaos expansions with random coefficientsin reduced-dimensional stochastic modeling of coupled problems
- Sparse Tensor Discretization of Elliptic sPDEs
- Tensor-Structured Galerkin Approximation of Parametric and Stochastic Elliptic PDEs
- Tensor Spaces and Numerical Tensor Calculus
- Spectral Methods for Uncertainty Quantification
- A FETI‐preconditioned conjugate gradient method for large‐scale stochastic finite element problems
- A method of finite element tearing and interconnecting and its parallel solution algorithm
- A two-level finite element method and its application to the Helmholtz equation
- A Preconditioner for Substructuring Based on Constrained Energy Minimization
- A FETI Domain Decomposition Method for Edge Element Approximations in Two Dimensions with Discontinuous Coefficients
- Numerical operator calculus in higher dimensions
- Uncertainty Quantification in CFD Simulations: A Stochastic Spectral Approach
- The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
- A scalable Lagrange multiplier based domain decomposition method for time‐dependent problems
- Theoretical comparison of the FETI and algebraically partitioned FETI methods, and performance comparisons with a direct sparse solver
- High-Order Collocation Methods for Differential Equations with Random Inputs
- Algorithms for Numerical Analysis in High Dimensions
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