An LP empirical quadrature procedure for reduced basis treatment of parametrized nonlinear PDEs

From MaRDI portal
Publication:1986754

DOI10.1016/j.cma.2018.02.028zbMath1440.65238OpenAlexW2789821984WikidataQ114196952 ScholiaQ114196952MaRDI QIDQ1986754

Masayuki Yano, Anthony T. Patera

Publication date: 9 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2018.02.028




Related Items (26)

Entropy stable reduced order modeling of nonlinear conservation lawsAn EIM-degradation free reduced basis method via over collocation and residual hyper reduction-based error estimationSparse data-driven quadrature rules via \(\ell^p\)-quasi-norm minimizationEfficient hyperreduction of high-order discontinuous Galerkin methods: element-wise and point-wise reduced quadrature formulationsA hyper-reduced MAC scheme for the parametric Stokes and Navier-Stokes equationsA multi-fidelity ensemble Kalman filter with hyperreduced reduced-order modelsRobust and globally efficient reduction of parametric, highly nonlinear computational models and real time online performanceA one-shot overlapping Schwarz method for component-based model reduction: application to nonlinear elasticityAn adaptive projection‐based model reduction method for nonlinear mechanics with internal variables: Application to thermo‐hydro‐mechanical systemsReprint of: Robust and globally efficient reduction of parametric, highly nonlinear computational models and real time online performanceA reduced basis ensemble Kalman methodEfficient and accurate nonlinear model reduction via first-order empirical interpolationLocalized Model Reduction for Nonlinear Elliptic Partial Differential Equations: Localized Training, Partition of Unity, and Adaptive EnrichmentModel Order Reduction in Contour Integral Methods for Parametric PDEsA reduced order model for geometrically parameterized two-scale simulations of elasto-plastic microstructures under large deformationsEmpirical interscale finite element method (EIFEM) for modeling heterogeneous structures via localized hyperreductionCECM: a continuous empirical cubature method with application to the dimensional hyperreduction of parameterized finite element modelsMultiscale modeling of prismatic heterogeneous structures based on a localized hyperreduced-order methodA globally convergent method to accelerate large-scale optimization using on-the-fly model hyperreduction: application to shape optimizationA hyper-reduction method using adaptivity to cut the assembly costs of reduced order modelsA multiscale method for periodic structures using domain decomposition and ECM-hyperreductionDiscontinuous Galerkin reduced basis empirical quadrature procedure for model reduction of parametrized nonlinear conservation lawsAn offline/online procedure for dual norm calculations of parameterized functionals: empirical quadrature and empirical test spacesGoal-oriented model reduction for parametrized time-dependent nonlinear partial differential equations6 Model reduction in computational aerodynamicsModel reduction of convection-dominated partial differential equations via optimization-based implicit feature tracking


Uses Software


Cites Work


This page was built for publication: An LP empirical quadrature procedure for reduced basis treatment of parametrized nonlinear PDEs