An online intrinsic stabilization strategy for the reduced basis approximation of parametrized advection-dominated problems

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In this work, we analyze space-time reduced basis methods for the efficient numerical simulation of haemodynamics in arteries. The classical formulation of the reduced basis (RB) method features dimensionality reduction in space, while finite difference sc ...

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The Obukhov-Corrsin theory of scalar turbulence [21, 54] advances quantitative predictions on passive-scalar advection in a turbulent regime and can be regarded as the analogue for passive scalars of Kolmogorov's K41 theory of fully developed turbulence [4 ...

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The quantification of uncertainties can be particularly challenging for problems requiring long-time integration as the structure of the random solution might considerably change over time. In this respect, dynamical low-rank approximation (DLRA) is very a ...

Semi-Lagrangian (SL) schemes are of utmost relevance to simulate two-phase flows where advection dominates. The combination of SL schemes with the finite element (FE) method and arbitrary Lagrangian-Eulerian (ALE) dynamic meshes yields a strong ingredient ...

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This thesis focuses on the development and validation of a reduced order technique for cardiovascular simulations. The method is based on the combined use of the Reduced Basis method and a Domain Decomposition approach and can be seen as a particular imple ...

We are interested in a reduced order method for the efficient simulation of blood flow in arteries. The blood dynamics is modeled by means of the incompressible Navier–Stokes equations. Our algorithm is based on an approximated domain-decomposition of the ...

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An online intrinsic stabilization strategy for the reduced basis approximation of parametrized advection-dominated problems

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SPACE-TIME REDUCED BASIS METHODS FOR PARAMETRIZED UNSTEADY STOKES EQUATIONS

A Reduced Order Model for Domain Decompositions with Non-conforming Interfaces

A cut-cell method for the numerical simulation of 3D multiphase flows with strong interfacial effects

A Streamline Upwind Petrov-Galerkin Reduced Order Method for Advection-Dominated Partial Differential Equations Under Optimal Control

Anomalous Dissipation and Lack of Selection in the Obukhov-Corrsin Theory of Scalar Turbulence

Three-dimensional buoyant hydraulic fractures: finite volume release

Plane Waves Versus Correlation-Consistent Basis Sets: A Comparison of MP2 Non-Covalent Interaction Energies in the Complete Basis Set Limit

Transport across thin membranes: Effective solute flux jump

A smooth basis for atomistic machine learning

Dynamical low rank approximation for uncertainty quantification of time-dependent problems

One- and two-step semi-Lagrangian integrators for arbitrary Lagrangian-Eulerian-finite element two-phase flow simulations

A mathematical theory for mass lumping and its generalization with applications to isogeometric analysis

Unified theory of atom-centered representations and message-passing machine-learning schemes

Reduction techniques for PDEs built upon Reduced Basis and Domain Decomposition Methods with applications to hemodynamics

Model order reduction of flow based on a modular geometrical approximation of blood vessels

Numerical simulation of sediment dynamics with free surface flows

Hemodynamics of the heart's left atrium based on a Variational Multiscale-LES numerical method

Entropic Fokker-Planck kinetic model

CO2-Driven diffusiophoresis and water cleaning: similarity solutions for predicting the exclusion zone in a channel flow

Continuous-Domain Formulation of Inverse Problems for Composite Sparse-Plus-Smooth Signals