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20242026
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8 papers · 1 filter

math.NA2026

Accelerated implicitization: Robust fixed-point iterations arising from an explicit scheme

Nicolas A. Barnafi, Felipe Galarce, Pablo Brubeck

This work proposes a general strategy for solving possibly nonlinear problems arising from implicit time discretizations as a sequence of explicit solutions. The resulting sequence…

math.NA2025

Improving performance estimation of a PCM-integrated solar chimney through reduced-order based data assimilation

Diego R. Rivera, Ernesto Castillo, Felipe Galarce +1

This study evaluates a data assimilation framework based on reduced-order modeling (ROM-DA), complemented by a hybrid data-filling strategy, to reconstruct dynamic temperature fiel…

math.NA2025

Estimation of Hemodynamic Parameters via Physics Informed Neural Networks including Hematocrit Dependent Rheology

Moises Sierpe, Ernesto Castillo, Hernan Mella +1

Physics-Informed Neural Networks (PINNs) show significant potential for solving inverse problems, especially when observations are limited and sparse, provided that the relevant ph…

math.NA2025

A fast food-freezing temperature estimation framework using optimally located sensors

Felipe Galarce, Diego Rivera, Douglas Pacheco +2

This article presents and assesses a framework for estimating temperature fields in real time for food-freezing applications, significantly reducing computational load while ensuri…

math.NA2025

Data assimilation performed with robust shape registration and graph neural networks: application to aortic coarctation

Francesco Romor, Felipe Galarce, Jan Brüning +2

Image-based, patient-specific modelling of hemodynamics can improve diagnostic capabilities and provide complementary insights to better understand the hemodynamic treatment outcom…

math.NA2024

Fully consistent lowest-order finite element methods for generalised Stokes flows with variable viscosity

Felipe Galarce, Douglas R. Q. Pacheco

Variable viscosity arises in many flow scenarios, often imposing numerical challenges. Yet, discretisation methods designed specifically for non-constant viscosity are few, and the…