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.