Second-Order Invariant Domain Preserving Approximation of the Euler Equations Using Convex Limiting. - Jean-Luc Guermond; Murtazo Nazarov; Bojan Popov; Ignacio Tomas (SIAM J. Sci. Comput., 2018)

Second-order invariant domain preserving approximation of the compressible Navier-Stokes equations. - Jean-Luc Guermond; Matthias Maier; Bojan Popov; Ignacio Tomas (CoRR, 2020)

The deal.II library, Version 9.2. - Daniel Arndt 003; Wolfgang Bangerth; Bruno Blais; Thomas C. Clevenger; Marc Fehling; Alexander V. Grayver; Timo Heister; Luca Heltai; Martin Kronbichler 002; Matthias Maier; Peter Munch; Jean-Paul Pelteret; et al. (J. Num. Math., 2020)

On the implementation of a robust and efficient finite element-based parallel solver for the compressible Navier-Stokes equations. - Jean-Luc Guermond; Martin Kronbichler 002; Matthias Maier; Bojan Popov; Ignacio Tomas (CoRR, 2021)

Local-in-time structure-preserving finite-element schemes for the Euler-Poisson equations. - Matthias Maier; John N. Shadid; Ignacio Tomas (CoRR, 2022)

Thermodynamically consistent physics-informed neural networks for hyperbolic systems. - Ravi G. Patel; Indu Manickam; Nathaniel A. Trask; Mitchell A. Wood; Myoungkyu Lee; Ignacio Tomas; Eric C. Cyr (J. Comput. Phys., 2022)

Greedy invariant-domain preserving approximation for hyperbolic systems. - Jean-Luc Guermond; Matthias Maier; Bojan Popov; Laura Saavedra; Ignacio Tomas (CoRR, 2023)

Structure preserving numerical methods for the ideal compressible MHD system. - Tuan Anh Dao; Murtazo Nazarov; Ignacio Tomas (CoRR, 2023)

A positivity preserving strategy for entropy stable discontinuous Galerkin discretizations of the compressible Euler and Navier-Stokes equations. - Yimin Lin; Jesse Chan; Ignacio Tomas (J. Comput. Phys., 2023)

Diagonally implicit Runge-Kutta schemes: Discrete energy-balance laws and compactness properties. - Abner J. Salgado; Ignacio Tomas (J. Num. Math., 2023)

Graph-based methods for hyperbolic systems of conservation laws using discontinuous space discretizations, Part I: building blocks. - Martin Kronbichler 002; Matthias Maier; Ignacio Tomas (CoRR, 2024)

A structure preserving numerical method for the ideal compressible MHD system. - Tuan Anh Dao; Murtazo Nazarov; Ignacio Tomas (J. Comput. Phys., 2024)

First-Order Greedy Invariant-Domain Preserving Approximation for Hyperbolic Problems: Scalar Conservation Laws, and p-System. - Jean-Luc Guermond; Matthias Maier; Bojan Popov; Laura Saavedra; Ignacio Tomas (J. Sci. Comput., 2024)