fe_lagrange_gll_shape_3D.C

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// The libMesh Finite Element Library.
// Copyright (C) 2002-2026 Benjamin S. Kirk, John W. Peterson, Roy H. Stogner
 
// This library is free software; you can redistribute it and/or
// modify it under the terms of the GNU Lesser General Public
// License as published by the Free Software Foundation; either
// version 2.1 of the License, or (at your option) any later version.
 
// This library is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
// Lesser General Public License for more details.
 
// You should have received a copy of the GNU Lesser General Public
// License along with this library; if not, write to the Free Software
// Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
 
 
 
// Local includes
#include "libmesh/fe.h"
#include "libmesh/elem.h"
#include "libmesh/fe_lagrange_gll_shape.h"
 
 
namespace libMesh
{
 
 
LIBMESH_DEFAULT_VECTORIZED_FE(3,L2_LAGRANGE_GLL)
 
 
template <>
Real FE<3,L2_LAGRANGE_GLL>::shape(const ElemType,
                                  const Order order,
                                  const unsigned int i,
                                  const Point & p)
{
  return fe_lagrange_gll_tensor_product<L2_LAGRANGE_GLL, 3>
    (nullptr, order, i, p, nullptr, 0);
}
 
 
template <>
Real FE<3,L2_LAGRANGE_GLL>::shape(const Elem * elem,
                                  const Order order,
                                  const unsigned int i,
                                  const Point & p,
                                  const bool add_p_level)
{
  libmesh_assert(elem);
 
  return fe_lagrange_gll_tensor_product<L2_LAGRANGE_GLL, 3>
    (elem, order + add_p_level*elem->p_level(), i, p, nullptr, 0);
}
 
 
template <>
Real FE<3,L2_LAGRANGE_GLL>::shape(const FEType fet,
                                  const Elem * elem,
                                  const unsigned int i,
                                  const Point & p,
                                  const bool add_p_level)
{
  libmesh_assert(elem);
 
  return fe_lagrange_gll_tensor_product<L2_LAGRANGE_GLL, 3>
    (elem, fet.order + add_p_level*elem->p_level(), i, p, nullptr, 0);
}
 
 
template <>
Real FE<3,L2_LAGRANGE_GLL>::shape_deriv(const ElemType,
                                        const Order order,
                                        const unsigned int i,
                                        const unsigned int j,
                                        const Point & p)
{
  libmesh_assert_less (j, 3);
 
  return fe_lagrange_gll_tensor_product<L2_LAGRANGE_GLL, 3>
    (nullptr, order, i, p, &j, 1);
}
 
 
template <>
Real FE<3,L2_LAGRANGE_GLL>::shape_deriv(const Elem * elem,
                                        const Order order,
                                        const unsigned int i,
                                        const unsigned int j,
                                        const Point & p,
                                        const bool add_p_level)
{
  libmesh_assert(elem);
  libmesh_assert_less (j, 3);
 
  return fe_lagrange_gll_tensor_product<L2_LAGRANGE_GLL, 3>
    (elem, order + add_p_level*elem->p_level(), i, p, &j, 1);
}
 
 
template <>
Real FE<3,L2_LAGRANGE_GLL>::shape_deriv(const FEType fet,
                                        const Elem * elem,
                                        const unsigned int i,
                                        const unsigned int j,
                                        const Point & p,
                                        const bool add_p_level)
{
  libmesh_assert(elem);
  libmesh_assert_less (j, 3);
 
  return fe_lagrange_gll_tensor_product<L2_LAGRANGE_GLL, 3>
    (elem, fet.order + add_p_level*elem->p_level(), i, p, &j, 1);
}
 
 
#ifdef LIBMESH_ENABLE_SECOND_DERIVATIVES
 
template <>
Real FE<3,L2_LAGRANGE_GLL>::shape_second_deriv(const ElemType,
                                               const Order order,
                                               const unsigned int i,
                                               const unsigned int j,
                                               const Point & p)
{
  libmesh_assert_less (j, fe_lagrange_gll_n_second_derivs<3>());
 
  return fe_lagrange_gll_tensor_product<L2_LAGRANGE_GLL, 3>
    (nullptr, order, i, p, fe_lagrange_gll_second_deriv_pairs[j], 2);
}
 
 
template <>
Real FE<3,L2_LAGRANGE_GLL>::shape_second_deriv(const Elem * elem,
                                               const Order order,
                                               const unsigned int i,
                                               const unsigned int j,
                                               const Point & p,
                                               const bool add_p_level)
{
  libmesh_assert(elem);
  libmesh_assert_less (j, fe_lagrange_gll_n_second_derivs<3>());
 
  return fe_lagrange_gll_tensor_product<L2_LAGRANGE_GLL, 3>
    (elem, order + add_p_level*elem->p_level(), i, p, fe_lagrange_gll_second_deriv_pairs[j], 2);
}
 
 
template <>
Real FE<3,L2_LAGRANGE_GLL>::shape_second_deriv(const FEType fet,
                                               const Elem * elem,
                                               const unsigned int i,
                                               const unsigned int j,
                                               const Point & p,
                                               const bool add_p_level)
{
  libmesh_assert(elem);
  libmesh_assert_less (j, fe_lagrange_gll_n_second_derivs<3>());
 
  return fe_lagrange_gll_tensor_product<L2_LAGRANGE_GLL, 3>
    (elem, fet.order + add_p_level*elem->p_level(), i, p, fe_lagrange_gll_second_deriv_pairs[j], 2);
}
 
 
#endif // LIBMESH_ENABLE_SECOND_DERIVATIVES
 
} // namespace libMesh