Model order reduction in fluid dynamics: challenges and perspectives
This chapter reviews techniques of model reduction of fluid dynamics systems. Fluid systems
are known to be difficult to reduce efficiently due to several reasons. First of all, they exhibit …
are known to be difficult to reduce efficiently due to several reasons. First of all, they exhibit …
[BOOK][B] Reduced basis methods for partial differential equations: an introduction
This book provides a basic introduction to reduced basis (RB) methods for problems
involving the repeated solution of partial differential equations (PDEs) arising from …
involving the repeated solution of partial differential equations (PDEs) arising from …
[BOOK][B] Certified reduced basis methods for parametrized partial differential equations
During the past decade, reduced order modeling has attracted growing interest in
computational science and engineering. It now plays an important role in delivering high …
computational science and engineering. It now plays an important role in delivering high …
Nonlinear model reduction via discrete empirical interpolation
A dimension reduction method called discrete empirical interpolation is proposed and
shown to dramatically reduce the computational complexity of the popular proper orthogonal …
shown to dramatically reduce the computational complexity of the popular proper orthogonal …
Accelerated simulation methodologies for computational vascular flow modelling
Vascular flow modelling can improve our understanding of vascular pathologies and aid in
develo** safe and effective medical devices. Vascular flow models typically involve …
develo** safe and effective medical devices. Vascular flow models typically involve …
Supremizer stabilization of POD–Galerkin approximation of parametrized steady incompressible Navier–Stokes equations
Supremizer stabilization of POD–Galerkin approximation of parametrized steady
incompressible Navier–Stokes equations - Ballarin - 2015 - International Journal for Numerical …
incompressible Navier–Stokes equations - Ballarin - 2015 - International Journal for Numerical …
Certified reduced basis approximation for parametrized partial differential equations and applications
Reduction strategies, such as model order reduction (MOR) or reduced basis (RB) methods,
in scientific computing may become crucial in applications of increasing complexity. In this …
in scientific computing may become crucial in applications of increasing complexity. In this …
[PDF][PDF] Model order reduction
This chapter presents an overview of Model Order Reduction–a new paradigm in the field of
simulationbased engineering sciences, and one that can tackle the challenges and leverage …
simulationbased engineering sciences, and one that can tackle the challenges and leverage …
[BOOK][B] Advanced reduced order methods and applications in computational fluid dynamics
Reduced order modeling is an important and fast-growing research field in computational
science and engineering, motivated by several reasons, of which we mention just a few …
science and engineering, motivated by several reasons, of which we mention just a few …
Reduced basis approximation and a posteriori error estimation for Stokes flows in parametrized geometries: roles of the inf-sup stability constants
In this paper we review and we extend the reduced basis approximation and a posteriori
error estimation for steady Stokes flows in affinely parametrized geometries, focusing on the …
error estimation for steady Stokes flows in affinely parametrized geometries, focusing on the …