A direct Schur-Fourier decomposition for the efficient solution of high-order Poisson equations on loosely coupled parallel computers. - Francesc Xavier Trias; Manel Soria; C. D. Pérez-Segarra; Assensi Oliva (Numer. Linear Algebra Appl., 2006)

Parallel direct Poisson solver for discretisations with one Fourier diagonalisable direction. - Rick Borrell; Oriol Lehmkuhl; Francesc Xavier Trias; Assensi Oliva (J. Comput. Phys., 2011)

Parallel algorithms for Sn transport sweeps on unstructured meshes. - G. Colomer; Rick Borrell; Francesc Xavier Trias; I. Rodriguez (J. Comput. Phys., 2013)

A simple approach to discretize the viscous term with spatially varying (eddy-)viscosity. - Francesc Xavier Trias; Andrey V. Gorobets; Assensi Oliva (J. Comput. Phys., 2013)

Symmetry-preserving discretization of Navier-Stokes equations on collocated unstructured grids. - Francesc Xavier Trias; Oriol Lehmkuhl; Assensi Oliva; C. D. Pérez-Segarra; R. W. C. P. Verstappen (J. Comput. Phys., 2014)

Particulate Immersed Boundary Method for complex fluid-particle interaction problems with heat transfer. - Hao Zhang; Hai-Zhuan Yuan; Francesc Xavier Trias; Aibing Yu; Yuanqiang Tan; Assensi Oliva (Comput. Math. Appl., 2016)

On the properties of discrete spatial filters for CFD. - Aleix Báez Vidal; Oriol Lehmkuhl; Francesc Xavier Trias; C. D. Pérez-Segarra (J. Comput. Phys., 2016)

Memory Aware Poisson Solver for Peta-Scale Simulations with one FFT Diagonalizable Direction. - Guillermo Oyarzun; Ricard Borrell; Francesc Xavier Trias; Assensi Oliva (HPCS, 2017)

Spectrally-Consistent Regularization of Navier-Stokes Equations. - Francesc Xavier Trias; David Folch; Andrey V. Gorobets; Assensi Oliva (J. Sci. Comput., 2019)

An energy-preserving level set method for multiphase flows. - Nicolas Valle; Francesc Xavier Trias; Jesús Castro (J. Comput. Phys., 2020)

A new general method to compute dispersion errors on Cartesian stretched meshes for both linear and non-linear operators. - Jesus Ruano; Aleix Báez Vidal; Joaquim Rigola; Francesc Xavier Trias (Comput. Phys. Commun., 2022)

On the implementation of flux limiters in algebraic frameworks. - Nicolas Valle; Xavier Álvarez-Farré; Andrey V. Gorobets; Jesús Castro; Assensi Oliva; Francesc Xavier Trias (Comput. Phys. Commun., 2022)

Exploiting symmetries for preconditioning Poisson's equation in CFD simulations. - Àdel Alsalti-Baldellou; Carlo Janna; Xavier Álvarez-Farré; Francesc Xavier Trias (PASC, 2023)

Energy-consistent discretization of viscous dissipation with application to natural convection flow. - Benjamin Sanderse; Francesc Xavier Trias (CoRR, 2023)

Exploiting spatial symmetries for solving Poisson's equation. - Àdel Alsalti-Baldellou; Xavier Álvarez-Farré; Francesc Xavier Trias; Assensi Oliva (J. Comput. Phys., 2023)

An efficient eigenvalue bounding method: CFL condition revisited. - Francesc Xavier Trias; Xavier Álvarez-Farré; Àdel Alsalti-Baldellou; Andrey V. Gorobets; Assensi Oliva (Comput. Phys. Commun., 2024)

A Multigrid Reduction Framework for Domains with Symmetries. - Àdel Alsalti-Baldellou; Carlo Janna; Xavier Álvarez-Farré; Francesc Xavier Trias (SIAM J. Sci. Comput., 2024)

Quantifying the checkerboard problem to reduce numerical dissipation. - Jannes A. Hopman; Daniel Santos; Àdel Alsalti-Baldellou; Joaquim Rigola; Francesc Xavier Trias (J. Comput. Phys., 2025)

On a symmetry-preserving unconditionally stable projection method on collocated unstructured grids for incompressible flows. - Daniel Santos; Jannes A. Hopman; C. D. Pérez-Segarra; Francesc Xavier Trias (J. Comput. Phys., 2025)