A reduced order model for the finite element approximation of eigenvalue problems (Q2678472)

scientific article; zbMATH DE number 7644830

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English	A reduced order model for the finite element approximation of eigenvalue problems	scientific article; zbMATH DE number 7644830

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instance of

scholarly article

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title

A reduced order model for the finite element approximation of eigenvalue problems (English)

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Computer Methods in Applied Mechanics and Engineering

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publication date

23 January 2023

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full work available at URL

https://arxiv.org/abs/2203.14880

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zbMATH Keywords

eigenvalue problem

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FEM

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POD

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reduced order modeling

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describes a project that uses

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Finite element approximation of eigenvalue problems

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Mixed Finite Element Methods and Applications

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Q4538004

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On the problem of spurious eigenvalues in the approximation of linear elliptic problems in mixed form

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On the Error Behavior of the Reduced Basis Technique for Nonlinear Finite Element Approximations

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Estimation of the Error in the Reduced Basis Method Solution of Nonlinear Equations

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The Reduced Basis Method for Incompressible Viscous Flow Calculations

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A reduced-order method for simulation and control of fluid flows

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Galerkin proper orthogonal decomposition methods for parabolic problems

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Galerkin Proper Orthogonal Decomposition Methods for a General Equation in Fluid Dynamics

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A Mathematical and Computational Framework for Reliable Real-Time Solution of Parametrized Partial Differential Equations

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Dimension reduction of large-scale systems. Proceedings of a workshop, Oberwolfach, Germany, October 19--25, 2003.

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Certified real‐time solution of the parametrized steady incompressible Navier–Stokes equations: rigorous reduced‐basis <i>a posteriori</i> error bounds

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A successive constraint linear optimization method for lower bounds of parametric coercivity and inf-sup stability constants

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Numerical solution of parametrized Navier–Stokes equations by reduced basis methods

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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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A monotonic evaluation of lower bounds for inf-sup stability constants in the frame of reduced basis approximations

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Reduced basis method for finite volume approximations of parametrized linear evolution equations

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

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Real-time monitoring of thermal processes by reduced-order modeling

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Certified Reduced Basis Methods for Parametrized Partial Differential Equations

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A posteriori estimates for the Stokes eigenvalue problem

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Eigenproblems from finite element analysis of fluid-structure interactions

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Eigenmode solution of 2-D and 3-D electromagnetic cavities containing absorbing materials using the Jacobi-Davidson algorithm

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A POD reduced-order model for eigenvalue problems with application to reactor physics

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Adaptive finite element methods for computing band gaps in photonic crystals

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A general formulation for a posteriori bounds for output functionals of partial differential equations; application to the eigenvalue problem

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Output bounds for reduced-basis approximations of symmetric positive definite eigenvalue problems

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Reduced basis approximation and<i>a posteriori</i>error estimates for parametrized elliptic eigenvalue problems

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Simultaneous reduced basis approximation of parameterized elliptic eigenvalue problems

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Reduced Basis Methods for Partial Differential Equations

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A priori convergence theory for reduced-basis approximations of single-parameter elliptic partial differential equations

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Global a priori convergence theory for reduced-basis approximations of single-parameter symmetric coercive elliptic partial differential equations

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The Finite Element Method: Theory, Implementation, and Applications

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Adaptive mesh refinement in 2D -- an efficient implementation in \textsc{Matlab}

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Bounds to eigenvalues of the Laplacian on L-shaped domain by variational methods

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.CMA.2022.115696

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Sitelinks

Mathematics(1 entry)

mardi Publication:2678472