Certified real-time shape optimization using isogeometric analysis, PGD model reduction, and a posteriori error estimation (Q6499870)

scientific article; zbMATH DE number 7845169

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English	Certified real-time shape optimization using isogeometric analysis, PGD model reduction, and a posteriori error estimation	scientific article; zbMATH DE number 7845169

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scholarly article

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title

Certified real-time shape optimization using isogeometric analysis, PGD model reduction, and a posteriori error estimation (English)

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International Journal for Numerical Methods in Engineering

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publication date

10 May 2024

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zbMATH Keywords

adaptivity

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error estimation

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isogeometric analysis

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model reduction

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proper generalized decomposition

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shape optimization

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MaRDI profile type

MaRDI publication profile

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cites work

Structural shape optimization - A survey

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Introduction to Shape Optimization

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

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A multiscale method with patch for the solution of stochastic partial differential equations with localized uncertainties

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S<scp>HAPE</scp> O<scp>PTIMIZATION IN</scp> F<scp>LUID</scp> M<scp>ECHANICS</scp>

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A practical guide to splines.

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Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement

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Isogeometric Analysis

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\(\overline {\text B}\) and \(\overline {\text F}\) projection methods for nearly incompressible linear and nonlinear elasticity and plasticity using higher-order NURBS elements

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Isogeometric shell analysis: the Reissner-Mindlin shell

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Isogeometric simulation of turbine blades for aircraft engines

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An isogeometric locking-free NURBS-based solid-shell element for geometrically nonlinear analysis

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Isogeometric analysis of structural vibrations

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Isogeometric structural shape optimization

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Isogeometric shape design optimization: exact geometry and enhanced sensitivity

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Full analytical sensitivities in NURBS based isogeometric shape optimization

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Isogeometric design of anisotropic shells: optimal form and material distribution

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Isogeometric shape optimization of shells using semi-analytical sensitivity analysis and sensitivity weighting

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Fundamental aspects of shape optimization in the context of isogeometric analysis

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An interactive geometry modeling and parametric design platform for isogeometric analysis

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Isogeometric shape optimization on triangulations

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Parameterization of computational domain in isogeometric analysis: methods and comparison

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A fictitious domain approach to the numerical solution of PDEs in stochastic domains

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Fictitious domain method and separated representations for the solution of boundary value problems on uncertain parameterized domains

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A multiscale method for semi-linear elliptic equations with localized uncertainties and non-linearities

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Integration of PGD-virtual charts into an engineering design process

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A multiscale reduced-basis method for parametrized elliptic partial differential equations with multiple scales

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Reduced Basis Approximation and Error Bounds for Potential Flows in Parametrized Geometries

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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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Isogeometric analysis and proper orthogonal decomposition for parabolic problems

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Recent advances and new challenges in the use of the proper generalized decomposition for solving multidimensional models

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A first step towards the use of proper general decomposition method for structural optimization

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A priori model reduction through proper generalized decomposition for solving time-dependent partial differential equations

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PGD-based \textit{computational vademecum} for efficient design, optimization and control

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The proper generalized decomposition for advanced numerical simulations. A primer

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Separated representations and PGD-based model reduction. Fundamentals and applications. Papers based on the presentations at the course

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Parametric solutions involving geometry: a step towards efficient shape optimization

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

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On the techniques for constructing admissible stress fields in model verification: Performances on engineering examples

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Verifying calculations -- forty years on. An overview of classical verification techniques for FEM simulations.

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Identifiers

DOI

10.1002/nme.6045

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6499870