### Journal articles

- Santiago Badia, Jesús Bonilla, Sibusiso Mabuza and John N. Shadid. On differentiable local bounds preserving stabilization for Euler equations.
*Computer Methods in Applied Mechanics and Engineering 370*, (2020), 113267.

[DOI] [ArXiv] [Abstract] - Jesús Bonilla and Santiago Badia. Monotonicity-preserving finite element schemes with adaptive mesh refinement for hyperbolic problems.
*Journal of Computational Physics 416*, (2020), 109522.

[DOI] [ArXiv] [Abstract] - Jesús Bonilla and Santiago Badia. Maximum-principle preserving space-time isogeometric analysis.
*Computer Methods in Applied Mechanics and Engineering 354*, (2019), 422–440.

[DOI] [ArXiv] [Abstract] - Santiago Badia, Jesús Bonilla and Alba Hierro. Differentiable monotonicity-preserving schemes for discontinuous Galerkin methods on arbitrary meshes.
*Computer Methods in Applied Mechanics and Engineering 320*, (2017), 582–605.

[DOI] [ArXiv] [Abstract] - Santiago Badia and Jesús Bonilla. Monotonicity-preserving finite element schemes based on differentiable nonlinear stabilization.
*Computer Methods in Applied Mechanics and Engineering 313*, (2017), 133–158.

[DOI] [ArXiv] [Abstract]

### Conferences

- A positivity-preserving finite element scheme for KellerSegel Chemotaxis model.
*BIRS-CMO: Bound-preserving space and time discretizations for convection-dominated problems*, (2021).

- Jesús Bonilla and Santiago Badia. Monotonicity preserving stabilization for convection dominated flows.
*International Congress on Industrial and Applied Mathematics*, (2019).

- Jesús Bonilla, Sibusiso Mabuza, John N. Shadid and Santiago Badia. On differentiable linearity and local bounds preserving stabilization methods for first order conservation law systems.
*Center for Computing Research at Sandia National Laboratories, Summer Proceedings*, (2018).

- Jesús Bonilla and Santiago Badia. High-order monotonicity preserving finite element methods for scalar convection-diffusion problems.
*European Conference on Numerical Mathematics and Advanced Applications*, (2017).

- Santiago Badia and Jesús Bonilla. Finite element methods preserving maximum principles.
*Finite Elements in Fluids Conference*, (2017).

- Santiago Badia and Jesús Bonilla. Monotonicity preserving finite element methods for scalar convection-diffusion problems.
*European Workshop on High Order Nonlinear Numerical Methods for Evolutionary PDEs*, (2017).

- Santiago Badia and Jesús Bonilla. Monotonicity preserving nonlinear stabilization for hyperbolic scalar problems.
*Conference on the Mathematics of Finite Elements and Applications*, (2016).