Line data    Source code

       1            0 : // Distributed under the MIT License.
       2              : // See LICENSE.txt for details.
       3              : 
       4              : #pragma once
       5              : 
       6              : #include <cstddef>
       7              : #include <utility>
       8              : 
       9              : /// \cond
      10              : class DataVector;
      11              : template <size_t>
      12              : class Mesh;
      13              : namespace Spectral {
      14              : enum class Basis : uint8_t;
      15              : enum class Quadrature : uint8_t;
      16              : }  // namespace Spectral
      17              : /// \endcond
      18              : 
      19              : namespace Spectral {
      20              : /// @{
      21              : /*!
      22              :  * \brief Terms used during the lifting portion of a discontinuous Galerkin
      23              :  * scheme when using Gauss points.
      24              :  *
      25              :  * Assumes that the logical coordinates are \f$[-1, 1]\f$. The first element of
      26              :  * the pair is the Lagrange polyonmials evaluated at \f$\xi=-1\f$ divided by the
      27              :  * weights and the second at \f$\xi=1\f$. Specifically,
      28              :  *
      29              :  * \f{align*}{
      30              :  * \frac{\ell_j(\xi=\pm1)}{w_j}
      31              :  * \f}
      32              :  *
      33              :  * \warning This can only be called with Gauss points.
      34              :  */
      35            1 : const std::pair<DataVector, DataVector>& boundary_lifting_term(
      36              :     const Mesh<1>& mesh);
      37              : 
      38              : template <Basis BasisType, Quadrature QuadratureType>
      39            1 : const std::pair<DataVector, DataVector>& boundary_lifting_term(
      40              :     size_t num_points);
      41              : /// @}
      42              : }  // namespace Spectral