Reading Material

Papers:
  • (Google Scholar).

    • Lecture notes, proceedings and review papers:
    Error estimation for nonlinear hyperbolic problems
  • 1998 Leicester Lecture Notes (scalar conservation laws).
  • 2002 SIAM: Continuous Dependence (Hamilton-Jacobi equations).
  • 2015 Acta Numerica Review (scalar conservation laws).

    • Discontinuous Galerkin methods
  • 1997 C.I.M.E. Lecture Notes .
  • 1999 NATO/NASA Lecture Notes .
  • 2001 Review: J. Sci. Comput..
  • 2003 Review: Encyclopedia of Computational Mechanics (First Ed.).

    • Hybridizable Discontinuous Galerkin methods
  • 2009 ICOSAHOM Review: HDG methods for PDEs.
  • 2010 ICM: HDG Methods.
  • 2013 Computers & Fluids review: HDG Methods for Stokes Flow.
  • 2016 Durham Review: HDG methods for diffusion problems.
  • 2016 Handb. Numer. Anal. Review: HDG methods for hyperbolic problems.
  • 2018 Cargese Review: M-decompositions.

    • Recent papers:
  • 2017: Adjoint-Based, Superconvergent Galerkin Approximations of Linear Functionals.
  • 2018: Discrete H1-inequalities for spaces admitting M-decompositions.

    • Last but not least:
  • Special Issue on DG methods: J. Sci. Comput. vol. 22-23, 2005.
  • Special Issue on HDG methods: J. Sci. Comput. vol. 77, 2018.
  • 2018: A lifetime of discontinuous Schemings.