Stochastic domain decomposition based on variable-separation method (Q6118603)

scientific article; zbMATH DE number 7822170

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English	Stochastic domain decomposition based on variable-separation method	scientific article; zbMATH DE number 7822170

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instance of

scholarly article

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title

Stochastic domain decomposition based on variable-separation method (English)

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published in

Computer Methods in Applied Mechanics and Engineering

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publication date

21 March 2024

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full work available at URL

https://arxiv.org/abs/2304.05708

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zbMATH Keywords

stochastic partial differential equation

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stochastic domain decomposition

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stochastic interface problem

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variable-separation method

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uncertainty quantification

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MaRDI profile type

MaRDI publication profile

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cites work

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High-Order Collocation Methods for Differential Equations with Random Inputs

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A mesh-free method for interface problems using the deep learning approach

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A new era in scientific computing: domain decomposition methods in hybrid CPU-GPU architectures

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Q4310146

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Domain decomposition and parallel processing of a finite element model of the shallow water equations

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Q4716273

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Q4254887

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An Optimal Two-Level Overlapping Domain Decomposition Method for Elliptic Problems in Two and Three Dimensions

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On the parallelization of multi-grid methods using a non-overlapping domain decomposition data structure

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Parallel Galerkin domain decomposition procedures for wave equation

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On the Relationship between Overlapping and Nonoverlapping Domain Decomposition Methods

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Analysis of Preconditioners for Domain Decomposition

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Balancing domain decomposition

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Neumann--Neumann Domain Decomposition Preconditioners for Linear-Quadratic Elliptic Optimal Control Problems

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Efficient contact solvers based on domain decomposition techniques.

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Domain decomposition of stochastic PDEs: Theoretical formulations

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Schwarz preconditioners for stochastic elliptic PDEs

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A domain decomposition method of stochastic PDEs: an iterative solution techniques using a two-level scalable preconditioner

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Partitioned treatment of uncertainty in coupled domain problems: a separated representation approach

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Exploring the Locally Low Dimensional Structure in Solving Random Elliptic PDEs

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Stochastic Domain Decomposition via Moment Minimization

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

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A Novel Variable-Separation Method Based on Sparse and Low Rank Representation for Stochastic Partial Differential Equations

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Model reduction method using variable-separation for stochastic saddle point problems

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A Variable-Separation Method for Nonlinear Partial Differential Equations With Random Inputs

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Model Reduction Based on Proper Generalized Decomposition for the Stochastic Steady Incompressible Navier--Stokes Equations

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A Data-Driven Approach for Multiscale Elliptic PDEs with Random Coefficients Based on Intrinsic Dimension Reduction

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A Posteriori Error Analysis of the Reduced Basis Method for Nonaffine Parametrized Nonlinear PDEs

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Reduced Basis Collocation Methods for Partial Differential Equations with Random Coefficients

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A Weighted Reduced Basis Method for Elliptic Partial Differential Equations with Random Input Data

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Reduced Basis Approximation for Nonlinear Parametrized Evolution Equations based on Empirical Operator Interpolation

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Generalized spectral decomposition for stochastic nonlinear problems

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Proper generalized decompositions and separated representations for the numerical solution of high dimensional stochastic problems

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Identifiers

arXiv ID

2304.05708

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DOI

10.1016/j.cma.2023.116538

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6118603