Publications

Journal articles

  1. 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]
  2. 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]
  3. 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]
  4. 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]
  5. 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

  1. A positivity-preserving finite element scheme for KellerSegel Chemotaxis model. BIRS-CMO: Bound-preserving space and time discretizations for convection-dominated problems, (2021).
  2. Jesús Bonilla and Santiago Badia. Monotonicity preserving stabilization for convection dominated flows. International Congress on Industrial and Applied Mathematics, (2019).
  3. 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).
  4. 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).
  5. Santiago Badia and Jesús Bonilla. Finite element methods preserving maximum principles. Finite Elements in Fluids Conference, (2017).
  6. 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).
  7. Santiago Badia and Jesús Bonilla. Monotonicity preserving nonlinear stabilization for hyperbolic scalar problems. Conference on the Mathematics of Finite Elements and Applications, (2016).