A Domain Decomposition Model Reduction Method for Linear Convection-Diffusion Equations with Random Coefficients (Q5230626)

scientific article; zbMATH DE number 7099321

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English	A Domain Decomposition Model Reduction Method for Linear Convection-Diffusion Equations with Random Coefficients	scientific article; zbMATH DE number 7099321

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instance of

scholarly article

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title

A Domain Decomposition Model Reduction Method for Linear Convection-Diffusion Equations with Random Coefficients (English)

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SIAM Journal on Scientific Computing

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publication date

28 August 2019

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full work available at URL

https://arxiv.org/abs/1802.04187

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zbMATH Keywords

domain decomposition

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colored noise

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discrete white noise

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uncertainty quantification

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high dimensionality

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sharp transition

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describes a project that uses

redbKIT

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MaRDI publication profile

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cites work

Augmented Implicitly Restarted Lanczos Bidiagonalization Methods

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Convergence of quasi-optimal stochastic Galerkin methods for a class of PDES with random coefficients

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Comparison between reduced basis and stochastic collocation methods for elliptic problems

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Local Polynomial Chaos Expansion for Linear Differential Equations with High Dimensional Random Inputs

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Kolmogorov widths under holomorphic mappings

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Convergence rates of best \(N\)-term Galerkin approximations for a class of elliptic SPDEs

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ANALYTIC REGULARITY AND POLYNOMIAL APPROXIMATION OF PARAMETRIC AND STOCHASTIC ELLIPTIC PDE'S

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Parallel Domain Decomposition Strategies for Stochastic Elliptic Equations Part B: Accelerated Monte Carlo Sampling with Local PC Expansions

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Efficient greedy algorithms for high-dimensional parameter spaces with applications to empirical interpolation and reduced basis methods

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A Static condensation Reduced Basis Element method : approximation and<i>a posteriori</i>error estimation

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An Explicit Representation of a Stationary Gaussian Process

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Spectral Methods for Uncertainty Quantification

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A Domain Decomposition Approach for Uncertainty Analysis

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An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data

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Survey of Multifidelity Methods in Uncertainty Propagation, Inference, and Optimization

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Addressing the curse of dimensionality in SSFEM using the dependence of eigenvalues in KL expansion on domain size

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Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.

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Domain decomposition of stochastic PDEs: Theoretical formulations

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Karhunen-Loève approximation of random fields by generalized fast multipole methods

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Basis adaptation and domain decomposition for steady-state partial differential equations with random coefficients

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Q4825126

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High-Order Collocation Methods for Differential Equations with Random Inputs

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Hyperspherical Sparse Approximation Techniques for High-Dimensional Discontinuity Detection

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Identifiers

zbMATH Open document ID

1433.65336

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DOI

10.1137/18M1170601

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:5230626