conspire/domain/fem/block/element/linear/tetrahedron/
mod.rs1#[cfg(test)]
2mod test;
3
4use crate::{
5 fem::block::element::{
6 FiniteElement, IntegrationWeights, ParametricCoordinate, ParametricCoordinates,
7 ParametricReference, ShapeFunctions, ShapeFunctionsGradients,
8 linear::{LinearElement, LinearFiniteElement, M},
9 },
10 math::ScalarList,
11 units::Volume,
12};
13
14const G: usize = 1;
15const N: usize = 4;
16const P: usize = N;
17
18pub type Tetrahedron = LinearElement<G, N>;
19
20impl FiniteElement<G, M, N, P> for Tetrahedron {
21 fn integration_points() -> ParametricCoordinates<G, M> {
22 [[0.25; M]].into()
23 }
24 fn integration_weights(&self) -> &IntegrationWeights<G, Volume> {
25 &self.integration_weights
26 }
27 fn parametric_reference() -> ParametricReference<M, N> {
28 [
29 [0.0, 0.0, 0.0],
30 [1.0, 0.0, 0.0],
31 [0.0, 1.0, 0.0],
32 [0.0, 0.0, 1.0],
33 ]
34 .into()
35 }
36 fn parametric_weights() -> ScalarList<G> {
37 [1.0 / 6.0; G].into()
38 }
39 fn shape_functions(parametric_coordinate: ParametricCoordinate<M>) -> ShapeFunctions<N> {
40 let [xi_1, xi_2, xi_3] = parametric_coordinate.into();
41 [1.0 - xi_1 - xi_2 - xi_3, xi_1, xi_2, xi_3].into()
42 }
43 fn shape_functions_gradients(
44 _parametric_coordinate: ParametricCoordinate<M>,
45 ) -> ShapeFunctionsGradients<M, N> {
46 [
47 [-1.0, -1.0, -1.0],
48 [1.0, 0.0, 0.0],
49 [0.0, 1.0, 0.0],
50 [0.0, 0.0, 1.0],
51 ]
52 .into()
53 }
54}
55
56impl LinearFiniteElement<G, N> for Tetrahedron {}