32 citations · 50 across the 5 of their papers we have counts for
5 papers
Finite element solution of nonlocal Cahn-Hilliard equations with feedback control time step size adaptivity
Gabriel F. Barros, Adriano M. A. Côrtes, Alvaro L. G. A. Coutinho
In this study, we evaluate the performance of feedback control-based time step adaptivity schemes for the nonlocal Cahn-Hilliard equation derived from the Ohta-Kawasaki free energy…
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…
Energy Exchange Analysis in Droplet Dynamics via the Navier-Stokes-Cahn-Hilliard Model
LFR Espath, A Sarmiento, P Vignal +4
We develop the energy budget equation of the coupled Navier-Stokes-Cahn-Hilliard (NSCH) system. We use the NSCH equations to model the dynamics of liquid droplets in a liquid conti…
Performance Evaluation of Block Diagonal Preconditioners for Divergence-Conforming B-Spline Discretization of Stokes Equations
Adriano M. A. Cortes, Alvaro L. G. A. Coutinho
The recently introduced divergence-conforming B-spline discretizations allow the construction of smooth discrete velocity-pressure pairs for viscous incompressible flows that are a…
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…