Publications

Journal articles

  1. 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]
  2. 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. 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).
  2. Santiago Badia and Jesús Bonilla. Finite element methods preserving maximum principles. Finite Elements in Fluids Conference, (2017).
  3. 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).
  4. Santiago Badia and Jesús Bonilla. Monotonicity preserving nonlinear stabilization for hyperbolic scalar problems. Conference on the Mathematics of Finite Elements and Applications, (2016).