Efficient Reduction of PDEs Defined on Domains with Variable Shape (Q4637158)

scientific article; zbMATH DE number 6861099

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English	Efficient Reduction of PDEs Defined on Domains with Variable Shape	scientific article; zbMATH DE number 6861099

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instance of

scholarly article

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title

Efficient Reduction of PDEs Defined on Domains with Variable Shape (English)

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Model Reduction of Parametrized Systems

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publication date

18 April 2018

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zbMATH Keywords

reduced basis method

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linear elasticity problem

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Galerkin-POD method

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Helmholtz scattering problem

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mesh moving techniques

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-3-319-58786-8_12

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cites work

Shape optimization by free-form deformation: existence results and numerical solution for Stokes flows

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An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations

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

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Preserving Lagrangian Structure in Nonlinear Model Reduction with Application to Structural Dynamics

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Nonlinear Model Reduction via Discrete Empirical Interpolation

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Inverse acoustic and electromagnetic scattering theory

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Stabilized reduced basis approximation of incompressible three-dimensional Navier-Stokes equations in parametrized deformed domains

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A Rescaled Localized Radial Basis Function Interpolation on Non-Cartesian and Nonconforming Grids

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Efficient geometrical parametrisation techniques of interfaces for reduced-order modelling: application to fluid–structure interaction coupling problems

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Construction of curvilinear co-ordinate systems and applications to mesh generation

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Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations

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Mesh deformation using the biharmonic operator

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Certified Reduced Basis Methods for Parametrized Partial Differential Equations

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

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An improvement on geometrical parameterizations by transfinite maps

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Parametric free-form shape design with PDE models and reduced basis method

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On the approximation of stability factors for general parametrized partial differential equations with a two-level affine decomposition

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A general multipurpose interpolation procedure: The magic points

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Shape optimization for viscous flows by reduced basis methods and free‐form deformation

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Reduced basis isogeometric methods (RB-IGA) for the real-time simulation of potential flows about parametrized NACA airfoils

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Efficient model reduction of parametrized systems by matrix discrete empirical interpolation

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A posteriori error estimation and basis adaptivity for reduced-basis approximation of nonaffine-parametrized linear elliptic partial differential equations

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Reduced Basis Methods for Partial Differential Equations

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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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Reduced Basis Approximation for Shape Optimization in Thermal Flows with a Parametrized Polynomial Geometric Map

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``Natural norm'' a posteriori error estimators for reduced basis approximations

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On Shape Deformation Techniques for Simulation-Based Design Optimization

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Mesh Moving Techniques for Fluid-Structure Interactions With Large Displacements

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Automatic mesh update with the solid-extension mesh moving technique

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A Posteriori Error Estimation for DEIM Reduced Nonlinear Dynamical Systems

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Progressive construction of a parametric reduced‐order model for PDE‐constrained optimization

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Identifiers

zbMATH Open document ID

1388.78020

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DOI

10.1007/978-3-319-58786-8_12

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4637158