output
20082026
most citedHigh performance reduction technique for multiscale finite element modeling (HPR-FE2): towards industrial multiscale FE software

34 citations

7 papers

eess.SY2026★ 17 cited

MPC for nonlinear systems: a comparative review of discretization methods

Guido Sanchez, Marina Murillo, Lucas Genzelis +2

This work provides a comparative review of three different numerical methods generally used to discretize continuous-time non-linear equations appearing in model predictive control…

eess.SY2026★ 31 cited

Adaptive arrival cost update for improving Moving Horizon Estimation performance

Guido Sanchez, Marina Murillo, Leonardo Giovanini

Moving horizon estimation is an efficient technique to estimate states and parameters of constrained dynamical systems. It relies on the solution of a finite horizon optimization p…

physics.comp-ph2023★ 9 cited

Inconsistencies in Unstructured Geometric Volume-of-Fluid Methods for Two-Phase Flows with High Density Ratios

Jun Liu, Tobias Tolle, Davide Zuzio +3

Geometric flux-based Volume-of-Fluid (VOF) methods are widely considered consistent in handling two-phase flows with high density ratios. However, although the conservation of mass…

math.NA2021★ 34 cited

High performance reduction technique for multiscale finite element modeling (HPR-FE2): towards industrial multiscale FE software

Marcelo Raschi, Oriol Lloberas-Valls, Alfredo Huespe +1

The authors have shown in previous contributions that reduced order modeling with optimal cubature applied to finite element square (FE2) techniques results in a reliable and affor…

math.NA2016★ 4 cited

PetIGA-MF: a multi-field high-performance toolbox for structure-preserving B-splines spaces

A. F. Sarmiento, A. M. A. Cortes, D. A. Garcia +3

We describe the development of a high-performance solution framework for isogeometric discrete differential forms based on B-splines: PetIGA-MF. Built on top of PetIGA, PetIGA-MF i…

cs.MS2013★ 14 cited

PetIGA: A Framework for High-Performance Isogeometric Analysis

Lisandro Dalcin, Nathan Collier, Philippe Vignal +2

We present PetIGA, a code framework to approximate the solution of partial differential equations using isogeometric analysis. PetIGA can be used to assemble matrices and vectors w…