Reduced Order Isogeometric Analysis Approach for PDEs in Parametrized Domains
From MaRDI portal
Publication:5141292
DOI10.1007/978-3-030-48721-8_7zbMath1455.62227arXiv1811.08631OpenAlexW2900895506MaRDI QIDQ5141292
Marco Tezzele, Fabrizio Garotta, Massimo Carraturo, Alessandro Reali, Gianluigi Rozza, Nicola Demo
Publication date: 18 December 2020
Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.08631
proper orthogonal decompositionheat conductionpartial differential equationsisogeometric analysisreduced order modellingfree-form deformation methodparametrized domains
Computational methods for problems pertaining to statistics (62-08) Heat equation (35K05) Applications of statistics to physics (62P35) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)
Related Items
State Estimation with Model Reduction and Shape Variability. Application to biomedical problems, A localized reduced basis approach for unfitted domain methods on parameterized geometries, On the comparison of LES data-driven reduced order approaches for hydroacoustic analysis, Bifidelity data-assisted neural networks in nonintrusive reduced-order modeling
Uses Software
Cites Work
- Reduced order methods for modeling and computational reduction
- \textsc{GeoPDEs}: a research tool for isogeometric analysis of PDEs
- A new design for the implementation of isogeometric analysis in Octave and Matlab: GeoPDEs 3.0
- Parametric free-form shape design with PDE models and reduced basis method
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Model order reduction: Theory, research aspects and applications. Selected papers based on the presentations at the workshop `Model order reduction, coupled problems and optimization', Leiden, The Netherlands, September 19--23, 2005.
- Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.
- Numerical models for differential problems. Translated by Silvia Quarteroni.
- Studies of refinement and continuity in isogeometric structural analysis
- Finite volume POD-Galerkin stabilised reduced order methods for the parametrised incompressible Navier-Stokes equations
- Higamod: a hierarchical isogeometric approach for model reduction in curved pipes
- Certified reduced basis method for affinely parametric isogeometric analysis NURBS approximation
- POD-Galerkin reduced order methods for CFD using finite volume discretisation: vortex shedding around a circular cylinder
- Reduced basis isogeometric methods (RB-IGA) for the real-time simulation of potential flows about parametrized NACA airfoils
- Fast simulations of patient-specific haemodynamics of coronary artery bypass grafts based on a POD-Galerkin method and a vascular shape parametrization
- Certified reduced basis approximation for parametrized partial differential equations and applications
- On calculating with B-splines
- The proper generalized decomposition for advanced numerical simulations. A primer
- Certified Reduced Basis Methods for Parametrized Partial Differential Equations
- On Shape Deformation Techniques for Simulation-Based Design Optimization
- Reduced Basis Approximation for Shape Optimization in Thermal Flows with a Parametrized Polynomial Geometric Map
- Hierarchical Local Model Reduction for Elliptic Problems: A Domain Decomposition Approach
- CFD-based optimization of aerofoils using radial basis functions for domain element parameterization and mesh deformation
- The Reduced Basis Method for Incompressible Viscous Flow Calculations
- Turbulence and the dynamics of coherent structures. I. Coherent structures
- Radial Basis Functions
- Evaluation of Proper Orthogonal Decomposition--Based Decomposition Techniques Applied to Parameter-Dependent Nonturbulent Flows
- Isogeometric Analysis
- Reduced Basis Methods for Uncertainty Quantification
- Hi-POD Solution of Parametrized Fluid Dynamics Problems: Preliminary Results
- Free-form deformation, mesh morphing and reduced-order methods: enablers for efficient aerodynamic shape optimisation
- Efficient geometrical parametrisation techniques of interfaces for reduced-order modelling: application to fluid–structure interaction coupling problems
- Reduced basis method for finite volume approximations of parametrized linear evolution equations
- The Numerical Evaluation of B-Splines
