An overlapping domain decomposition method for the solution of parametric elliptic problems via proper generalized decomposition (Q6118540)

scientific article; zbMATH DE number 7822131

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English	An overlapping domain decomposition method for the solution of parametric elliptic problems via proper generalized decomposition	scientific article; zbMATH DE number 7822131

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instance of

scholarly article

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title

An overlapping domain decomposition method for the solution of parametric elliptic problems via proper generalized decomposition (English)

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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/2307.16334

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zbMATH Keywords

reduced order models

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proper generalized decomposition

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domain decomposition methods

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overlapping Schwarz method

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non-intrusiveness

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MaRDI profile type

MaRDI publication profile

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cites work

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

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Q4716273

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Optimal Local Approximation Spaces for Component-Based Static Condensation Procedures

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A discontinuous Galerkin reduced basis element method for elliptic problems

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A reduced basis hybrid method for the coupling of parametrized domains represented by fluidic networks

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A domain decomposition strategy for reduced order models. Application to the incompressible Navier-Stokes equations

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A Dirichlet-Neumann reduced basis method for homogeneous domain decomposition problems

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A one-shot overlapping Schwarz method for component-based model reduction: application to nonlinear elasticity

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Error Control for the Localized Reduced Basis Multiscale Method with Adaptive On-Line Enrichment

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Multiscale modeling of linear elastic heterogeneous structures via localized model order reduction

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Randomized Local Model Order Reduction

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Domain-decomposition least-squares Petrov-Galerkin (DD-LSPG) nonlinear model reduction

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A domain decomposition method for the non-intrusive reduced order modelling of fluid flow

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A domain decomposition non-intrusive reduced order model for turbulent flows

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Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

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Extended Physics-Informed Neural Networks (XPINNs): A Generalized Space-Time Domain Decomposition Based Deep Learning Framework for Nonlinear Partial Differential Equations

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A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modeling of complex fluids

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The proper generalized decomposition for advanced numerical simulations. A primer

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Integration of PGD-virtual charts into an engineering design process

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Nonintrusive proper generalised decomposition for parametrised incompressible flow problems in OpenFOAM

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Parametric solutions of turbulent incompressible flows in OpenFOAM via the proper generalised decomposition

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Arlequin based PGD domain decomposition

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Q4303980

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The Interface Control Domain Decomposition (ICDD) Method for Elliptic Problems

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GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems

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Proper generalized decomposition for parameterized Helmholtz problems in heterogeneous and unbounded domains: application to harbor agitation

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Fundamentals of reduced basis method for problems governed by parametrized PDEs and applications

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Stabilized reduced basis method for parametrized advection-diffusion PDEs

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Parametric solutions involving geometry: a step towards efficient shape optimization

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Streamline upwind/Petrov-Galerkin-based stabilization of proper generalized decompositions for high-dimensional advection-diffusion equations

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Proper generalized decomposition of a geometrically parametrized heat problem with geophysical applications

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Solution of geometrically parametrised problems within a CAD environment via model order reduction

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Hybridisable discontinuous Galerkin solution of geometrically parametrised Stokes flows

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Identifiers

arXiv ID

2307.16334

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DOI

10.1016/j.cma.2023.116484

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6118540