A reduced basis approach for PDEs on parametrized geometries based on the shifted boundary finite element method and application to a Stokes flow

From MaRDI portal
Publication:1987830

DOI10.1016/j.cma.2018.12.040zbMath1440.76073arXiv1807.07790OpenAlexW2883275932WikidataQ114196942 ScholiaQ114196942MaRDI QIDQ1987830

Gianluigi Rozza, Guglielmo Scovazzi, Giovanni Stabile, Léo Nouveau, Efthimios N. Karatzas

Publication date: 16 April 2020

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

Full work available at URL: https://arxiv.org/abs/1807.07790



Related Items

A weighted shifted boundary method for free surface flow problems, The high-order shifted boundary method and its analysis, Random geometries for optimal control PDE problems based on fictitious domain FEMs and cut elements, A reduced order cut finite element method for geometrically parametrized steady and unsteady Navier-Stokes problems, Equal higher order analysis of an unfitted discontinuous Galerkin method for Stokes flow systems, Embedded domain reduced basis models for the shallow water hyperbolic equations with the shifted boundary method, State Estimation with Model Reduction and Shape Variability. Application to biomedical problems, A localized reduced basis approach for unfitted domain methods on parameterized geometries, Development of POD-based reduced order models applied to shallow water equations using augmented Riemann solvers, Discrete empirical interpolation and unfitted mesh FEMs: application in PDE-constrained optimization, Model order reduction for deforming domain problems in a time‐continuous space‐time setting, Hierarchical higher-order dynamic mode decomposition for clustering and feature selection, A reduced order model for a stable embedded boundary parametrized Cahn-Hilliard phase-field system based on cut finite elements, A stabilized mixed space-time proper generalized decomposition for the Navier-Stokes equations, Projection-based reduced order models for a cut finite element method in parametrized domains, A reduced-order shifted boundary method for parametrized incompressible Navier-Stokes equations, A Reduced Order Approach for the Embedded Shifted Boundary FEM and a Heat Exchange System on Parametrized Geometries, A reduced order variational multiscale approach for turbulent flows, Analysis of the shifted boundary method for the Poisson problem in domains with corners


Uses Software


Cites Work