Discontinuous Galerkin method 2 A priori error analysis 1 Adaptivity 1 Adjoint consistency 1 Anisotropic hp-mesh adaptation 1 Boussinesq equations 1 Constrained optimization 1 Convergence of numerical methods 1 Coupled BBM equations 1 Differential calculus & equations 1 Discontinous Galerkin methods 1 Discontinuous Galerkin methods 1 Energy 1 Energy-conservative discontinuous Galerkin method 1 Energy-conservative discontinuous galerkin method 1 Enthalpy 1 Enthalpy approach 1 Error estimate 1 Euler equations 1 FEM approaches 1 Finite element method 1 Galerkin methods 1 Gallium 1 Head-on collision 1 Hybrid high-order methods 1 Hybridizable discontinuous Galerkin methods 1 Interior penalty method 1 Interpolatory method 1 Laplace transform 1 Linearization 1