Projection-based dimensional reduction of adaptively refined nonlinear models

DOI10.1007/S42967-023-00308-3MaRDI QIDQ6593779

Clayton Little, Charbel Farhat

Publication date: 27 August 2024

Published in: Communications on Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

computational fluid dynamicsmodel order reductionadaptive mesh refinement (AMR)reduced-order modelsupermeshenergy-conserving sampling and weighting (ECSW)

Mathematics Subject Classification ID

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Cites Work

• Title not available (Why is that?)
• The GNAT method for nonlinear model reduction: effective implementation and application to computational fluid dynamics and turbulent flows
• Conservative interpolation between volume meshes by local Galerkin projection
• An adaptive, multi-level method for elliptic boundary value problems
• POD-Galerkin reduced-order modeling with adaptive finite element snapshots
• POD reduced-order modeling for evolution equations utilizing arbitrary finite element discretizations
• Application of a three-field nonlinear fluid-structure formulation to the prediction of the aeroelastic parameters of an F-16 fighter
• On the stability of projection-based model order reduction for convection-dominated laminar and turbulent flows
• Quadratic approximation manifold for mitigating the Kolmogorov barrier in nonlinear projection-based model order reduction
• A minimum-residual mixed reduced basis method: exact residual certification and simultaneous finite-element reduced-basis refinement
• Efficient non-linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations
• Nonlinear model order reduction based on local reduced-order bases
• Dimensional reduction of nonlinear finite element dynamic models with finite rotations and energy-based mesh sampling and weighting for computational efficiency
• Structure-preserving, stability, and accuracy properties of the energy-conserving sampling and weighting method for the hyper reduction of nonlinear finite element dynamic models
• Nonlinear Model Reduction via Discrete Empirical Interpolation
• A Reduced Basis Method for Coercive Equations with an Exact Solution Certificate and Spatio-Parameter Adaptivity: Energy-Norm and Output Error Bounds
• 5 Computational bottlenecks for PROMs: precomputation and hyperreduction
• An "$hp$" Certified Reduced Basis Method for Parametrized Elliptic Partial Differential Equations
• Reduced basis method for finite volume approximations of parametrized linear evolution equations
• Common‐refinement‐based data transfer between non‐matching meshes in multiphysics simulations
• Anisotropic adaptive simulation of transient flows using discontinuous Galerkin methods
• Mesh sampling and weighting for the hyperreduction of nonlinear Petrov-Galerkin reduced-order models with local reduced-order bases

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