Efficient hyperreduction of high-order discontinuous Galerkin methods: element-wise and point-wise reduced quadrature formulations

DOI10.1016/j.jcp.2022.111399OpenAlexW4283271863MaRDI QIDQ2157120

Masayuki Yano, Eugene Du

Publication date: 21 July 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2022.111399

zbMATH Keywords

discontinuous Galerkin methodmodel reductionaerodynamicshyperreductionadaptive high-order methodempirical quadrature procedure

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)

Related Items (7)

A one-shot overlapping Schwarz method for component-based model reduction: application to nonlinear elasticity ⋮ Efficient and accurate nonlinear model reduction via first-order empirical interpolation ⋮ Predictive reduced order modeling of chaotic multi-scale problems using adaptively sampled projections ⋮ Evaluation of dual-weighted residual and machine learning error estimation for projection-based reduced-order models of steady partial differential equations ⋮ Registration-based model reduction of parameterized PDEs with spatio-parameter adaptivity ⋮ A globally convergent method to accelerate large-scale optimization using on-the-fly model hyperreduction: application to shape optimization ⋮ Local Lagrangian reduced-order modeling for the Rayleigh-Taylor instability by solution manifold decomposition

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