A nonstiff, adaptive mesh refinement-based method for the Cahn-Hilliard equation. - Héctor D. Ceniceros; Alexandre M. Roma (J. Comput. Phys., 2007)

Efficient solutions to robust, semi-implicit discretizations of the immersed boundary method. - Héctor D. Ceniceros; Jordan E. Fisher; Alexandre M. Roma (J. Comput. Phys., 2009)

Three-dimensional, fully adaptive simulations of phase-field fluid models. - Héctor D. Ceniceros; Rudimar L. Nós; Alexandre M. Roma (J. Comput. Phys., 2010)

A 3D front-tracking approach for simulation of a two-phase fluid with insoluble surfactant. - Wellington C. de Jesus; Alexandre M. Roma; Márcio R. Pivello; Millena M. Villar; Aristeu da Silveira-Neto (J. Comput. Phys., 2015)

An adaptive numerical method for simulating diffusion flame jets. - Priscila C. Calegari; Alexandre M. Roma; Luis Carlos de Castro Santos; Guenther C. Krieger Filho (Math. Comput. Simul., 2023)