Himod reduction of advection–diffusion–reaction problems with general boundary conditions

MC Aletti, S Perotto, A Veneziani - Journal of Scientific Computing, 2018 - Springer
We extend the hierarchical model reduction procedure previously introduced in Ern et al.(in:
Kunisch, Of, Steinbach (eds) Numerical mathematics and advanced applications, Springer …

A survey of hierarchical model (Hi-Mod) reduction methods for elliptic problems

S Perotto - Numerical simulations of coupled problems in …, 2014 - Springer
In this work, we review the basic aspects of the so called Hierarchical Model (Hi-Mod)
reduction approach, recently advocated to reduce the complexity of models for advection …

Hi-POD solution of parametrized fluid dynamics problems: preliminary results

D Baroli, CM Cova, S Perotto, L Sala… - Model Reduction of …, 2017 - Springer
Numerical modeling of fluids in pipes or network of pipes (like in the circulatory system) has
been recently faced with new methods that exploit the specific nature of the dynamics, so …

[PDF][PDF] Mathematics and Computer Science

D Baroli, C Cova, S Perotto, L Sala, A Veneziani - 2016 - math.emory.edu
Numerical modeling of fluids in pipes or network of pipes (like in the circulatory system) has
been recently faced with new methods that exploit the specific nature of the dynamics, so …

[PDF][PDF] Mathematics and Computer Science

M Aletti, S Perotto, A Veneziani - 2013 - math.emory.edu
Abstract Hierarchical Model (HiMod) reduction is a method introduced in [1] to effectively
solve advection-diffusion-reaction (ADR) and fluid dynamics problems in pipes. The …