A hybridizable discontinuous Galerkin method for two-phase flow in heterogeneous porous media. - Maurice S. Fabien; Matthew G. Knepley; Beatrice M. Riviere (CoRR, 2018)

A high order hybridizable discontinuous Galerkin method for incompressible miscible displacement in heterogeneous media. - Maurice S. Fabien; Matthew G. Knepley; Beatrice M. Riviere (CoRR, 2018)

Comparative Study of Finite Element Methods Using the Time-Accuracy-Size(TAS) Spectrum Analysis. - Justin Chang 001; Maurice S. Fabien; Matthew G. Knepley; Richard Tran Mills (SIAM J. Sci. Comput., 2018)

Manycore Parallel Computing for a Hybridizable Discontinuous Galerkin Nested Multigrid Method. - Maurice S. Fabien; Matthew G. Knepley; Richard Tran Mills; Beatrice M. Riviere (SIAM J. Sci. Comput., 2019)

Families of interior penalty hybridizable discontinuous Galerkin methods for second order elliptic problems. - Maurice S. Fabien; Matthew G. Knepley; Beatrice M. Riviere (J. Num. Math., 2020)

Low-order divergence-free approximations for the Stokes problem on Worsey-Farin and Powell-Sabin splits. - Maurice S. Fabien; Johnny Guzmán; Michael Neilan; Ahmed Zytoon (CoRR, 2021)

Numerical error analysis for an energy-stable HDG method for the Allen-Cahn equation. - Maurice S. Fabien (J. Comput. Appl. Math., 2022)

Hybridization and postprocessing in finite element exterior calculus. - Gerard Awanou; Maurice S. Fabien; Johnny Guzmán; Ari Stern (Math. Comput., 2022)

A high-order augmented basis positivity-preserving discontinuous Galerkin method for a Linear Hyperbolic Equation. - Maurice S. Fabien (CoRR, 2025)

High order hybridizable discontinuous Galerkin method for three-phase flow in porous media. - Maurice S. Fabien (CoRR, 2025)