Source code for pyleecan.Methods.Mesh.ScalarProductL2.scalar_product

# -*- coding: utf-8 -*-

import numpy as np


def scalar_product(self, funca, funcb, detJ, weights, nb_gauss_points):
    """Scalar product of shape functions with L2 gauss integration

    Parameters
    ----------
    self : ScalarProductL2
        a ScalarProductL2 object
    funca : ndarray
        vertice of the cell
    nba : ndarray
        coordinates of a point
    funcb : ndarray
        vertice of the cell
    nbb : ndarray
        coordinates of a point
    detJ : ndarray
        jacobian determinant evaluated for each gauss point
    weights : ndarray
        gauss weights
    nb_gauss_points : int
        number of gauss points

    Returns
    -------
    l2_scal : ndarray
        a L2 scalar product
    """

    func_a_w_dJ = np.zeros(funca.shape)
    for i in range(nb_gauss_points):
        func_a_w_dJ[i, :] = funca[i, :] * weights[i] * detJ[i]

    l2_scal_mat = np.squeeze(np.tensordot(func_a_w_dJ, funcb, axes=([0], [0])))

    return l2_scal_mat