An efficient split-step scheme for fluid-structure interaction involving incompressible viscous flows. - Richard Schussnig; Douglas R. Q. Pacheco; Thomas-Peter Fries (CoRR, 2021)

Robust stabilised finite element solvers for generalised Newtonian fluid flows. - Richard Schussnig; Douglas R. Q. Pacheco; Thomas-Peter Fries (J. Comput. Phys., 2021)

On the initial higher-order pressure convergence in equal-order finite element discretizations of the Stokes system. - Douglas R. Q. Pacheco; Olaf Steinbach (Comput. Math. Appl., 2022)

On the temporal stability of least-squares methods for linear hyperbolic problems. - Douglas R. Q. Pacheco (Comput. Math. Appl., 2024)

Unconditionally stable, linearised IMEX schemes for incompressible flows with variable density. - Nicolás Espinoza-Contreras; Gabriel R. Barrenechea; Ernesto Castillo; Douglas R. Q. Pacheco (CoRR, 2024)

A reduced-order framework for temperature estimation in food freezing from optimally located sensors, including turbulent conjugate flow scenarios. - Felipe Galarce; Diego Rivera; Douglas R. Q. Pacheco; Alfonso Caiazzo; Ernesto Castillo (CoRR, 2024)

Implicit-explicit Schemes for Incompressible Flow Problems with Variable Viscosity. - Gabriel R. Barrenechea; Ernesto Castillo; Douglas R. Q. Pacheco (SIAM J. Sci. Comput., 2024)

Optimal Pressure Recovery Using an Ultra-Weak Finite Element Method for the Pressure Poisson Equation and a Least-Squares Approach for the Gradient Equation. - Douglas R. Q. Pacheco; Olaf Steinbach (Comput. Methods Appl. Math., 2024)

Fully consistent lowest-order finite element methods for generalised Stokes flows with variable viscosity. - Felipe Galarce; Douglas R. Q. Pacheco (Comput. Math. Appl., 2025)

Fully decoupled fractional-step methods for non-linear viscoelastic flows: Natural heat convection, viscous dissipation and phase change. - Ismael Aguirre; Douglas R. Q. Pacheco; Ernesto Castillo (Commun. Nonlinear Sci. Numer. Simul., 2025)

Spatially and temporally high-order dynamic nonlinear variational multiscale methods for generalized Newtonian flows. - F. Guerrero; Ernesto Castillo; Felipe Galarce; Douglas R. Q. Pacheco (Commun. Nonlinear Sci. Numer. Simul., 2025)

Consistent splitting SAV schemes for finite element approximations of incompressible flows. - Douglas R. Q. Pacheco (CoRR, 2025)

An efficient and energy-stable IMEX splitting scheme for dispersed multiphase flows. - Douglas R. Q. Pacheco; Richard Schussnig (CoRR, 2025)

Higher-Oder Splitting Schemes for Fluids with Variable Viscosity. - Richard Schussnig; Niklas Fehn; Douglas R. Q. Pacheco; Martin Kronbichler 002 (CoRR, 2025)