Explicit solution of the incompressible Navier-Stokes equations with linear finite elements. - Vitoriano Ruas; Antonio C. P. Brasil Jr. (Appl. Math. Lett., 2007)

Study of a finite element method for the time-dependent generalized Stokes system associated with viscoelastic flow. - J. H. Carneiro de Araujo; P. D. Gomes; Vitoriano Ruas (J. Comput. Appl. Math., 2010)

Numerical analysis of a least-squares finite element method for the time-dependent advection-diffusion equation. - Regina Leal-Toledo; Vitoriano Ruas (J. Comput. Appl. Math., 2011)

Hermite finite elements for second order boundary value problems with sharp gradient discontinuities. - Vitoriano Ruas (J. Comput. Appl. Math., 2013)

Hermite finite elements for diffusion phenomena. - Vitoriano Ruas; Diego N. Brandão; Mauricio Kischinhevsky (J. Comput. Phys., 2013)

Approximation of the multi-dimensional Stokes system with embedded pressure discontinuities. - Gustavo C. Buscaglia; Vitoriano Ruas (Adv. Comput. Math., 2015)

One-parameter tetrahedral mesh generation for spheroids. - Vitoriano Ruas (CoRR, 2017)

Accuracy enhancement for non-isoparametric finite-element simulations in curved domains; application to fluid flow. - Vitoriano Ruas (Comput. Math. Appl., 2019)

Optimal-rate Lagrange and Hermite finite elements for Dirichlet problems in curved domains with straight-edged triangles. - Vitoriano Ruas (CoRR, 2019)

Efficiency of nonparametric finite elements for optimal-order enforcement of Dirichlet conditions on curvilinear boundaries. - Vitoriano Ruas; Marco Antonio Silva Ramos (J. Comput. Appl. Math., 2021)

Improving the accuracy of Raviart-Thomas mixed elements in two-dimensional smooth domains with straight-edged triangles. - Fleurianne Bertrand; Vitoriano Ruas (CoRR, 2023)

Fine stability constants and error bounds for asymmetric approximate saddle point problems. - Vitoriano Ruas (CoRR, 2023)

Fine error bounds for approximate asymmetric saddle point problems. - Vitoriano Ruas (Comput. Appl. Math., 2024)

A handy tool for assessing tetrahedron-based finite-cell methods and for numerical simulations in spheroidal domains. - Andrés León Baldelli; Vitoriano Ruas; Marco Antonio Silva Ramos (Comput. Math. Appl., 2025)