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Ignacio Tomas
Publication Activity (10 Years)
Years Active: 2018-2024
Publications (10 Years): 16
Top Topics
Compressive Sensing
Structure Preserving
Partial Differential Equations
Finite Element
Top Venues
CoRR
J. Comput. Phys.
J. Num. Math.
SIAM J. Sci. Comput.
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Publications
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Jean-Luc Guermond
,
Matthias Maier
,
Bojan Popov
,
Laura Saavedra
,
Ignacio Tomas
First-Order Greedy Invariant-Domain Preserving Approximation for Hyperbolic Problems: Scalar Conservation Laws, and p-System.
J. Sci. Comput.
100 (2) (2024)
Tuan Anh Dao
,
Murtazo Nazarov
,
Ignacio Tomas
A structure preserving numerical method for the ideal compressible MHD system.
J. Comput. Phys.
508 (2024)
Martin Kronbichler
,
Matthias Maier
,
Ignacio Tomas
Graph-based methods for hyperbolic systems of conservation laws using discontinuous space discretizations, Part I: building blocks.
CoRR
(2024)
Yimin Lin
,
Jesse Chan
,
Ignacio Tomas
A positivity preserving strategy for entropy stable discontinuous Galerkin discretizations of the compressible Euler and Navier-Stokes equations.
J. Comput. Phys.
475 (2023)
Tuan Anh Dao
,
Murtazo Nazarov
,
Ignacio Tomas
Structure preserving numerical methods for the ideal compressible MHD system.
CoRR
(2023)
Jean-Luc Guermond
,
Matthias Maier
,
Bojan Popov
,
Laura Saavedra
,
Ignacio Tomas
Greedy invariant-domain preserving approximation for hyperbolic systems.
CoRR
(2023)
Abner J. Salgado
,
Ignacio Tomas
Diagonally implicit Runge-Kutta schemes: Discrete energy-balance laws and compactness properties.
J. Num. Math.
31 (4) (2023)
Ravi G. Patel
,
Indu Manickam
,
Nathaniel A. Trask
,
Mitchell A. Wood
,
Myoungkyu Lee
,
Ignacio Tomas
,
Eric C. Cyr
Thermodynamically consistent physics-informed neural networks for hyperbolic systems.
J. Comput. Phys.
449 (2022)
Yimin Lin
,
Jesse Chan
,
Ignacio Tomas
A positivity preserving strategy for entropy stable discontinuous Galerkin discretizations of the compressible Euler and Navier-Stokes equations.
CoRR
(2022)
Abner J. Salgado
,
Ignacio Tomas
Diagonally implicit Runge-Kutta schemes: Discrete energy-balance laws and compactness properties.
CoRR
(2022)
Matthias Maier
,
John N. Shadid
,
Ignacio Tomas
Local-in-time structure-preserving finite-element schemes for the Euler-Poisson equations.
CoRR
(2022)
Jean-Luc Guermond
,
Martin Kronbichler
,
Matthias Maier
,
Bojan Popov
,
Ignacio Tomas
On the implementation of a robust and efficient finite element-based parallel solver for the compressible Navier-Stokes equations.
CoRR
(2021)
Ravi G. Patel
,
Indu Manickam
,
Nathaniel A. Trask
,
Mitchell A. Wood
,
Myoungkyu Lee
,
Ignacio Tomas
,
Eric C. Cyr
Thermodynamically consistent physics-informed neural networks for hyperbolic systems.
CoRR
(2020)
Daniel Arndt
,
Wolfgang Bangerth
,
Bruno Blais
,
Thomas C. Clevenger
,
Marc Fehling
,
Alexander V. Grayver
,
Timo Heister
,
Luca Heltai
,
Martin Kronbichler
,
Matthias Maier
,
Peter Munch
,
Jean-Paul Pelteret
,
Reza Rastak
,
Ignacio Tomas
,
Bruno Turcksin
,
Zhuoran Wang
,
David Wells
The deal.II library, Version 9.2.
J. Num. Math.
28 (3) (2020)
Jean-Luc Guermond
,
Matthias Maier
,
Bojan Popov
,
Ignacio Tomas
Second-order invariant domain preserving approximation of the compressible Navier-Stokes equations.
CoRR
(2020)
Jean-Luc Guermond
,
Murtazo Nazarov
,
Bojan Popov
,
Ignacio Tomas
Second-Order Invariant Domain Preserving Approximation of the Euler Equations Using Convex Limiting.
SIAM J. Sci. Comput.
40 (5) (2018)