conspire/domain/fem/block/element/surface/linear/quadrilateral/
mod.rs

1#[cfg(test)]
2mod test;
3
4use crate::{
5    fem::block::element::{
6        FRAC_1_SQRT_3, FiniteElement, ParametricCoordinate, ParametricCoordinates,
7        ParametricReference, ShapeFunctions, ShapeFunctionsGradients,
8        surface::{M, linear::LinearSurfaceElement},
9    },
10    math::ScalarList,
11};
12
13const G: usize = 4;
14const N: usize = 4;
15const P: usize = N;
16
17pub type Quadrilateral = LinearSurfaceElement<G, N>;
18
19impl FiniteElement<G, M, N, P> for Quadrilateral {
20    fn integration_points() -> ParametricCoordinates<G, M> {
21        [
22            [-FRAC_1_SQRT_3, -FRAC_1_SQRT_3],
23            [FRAC_1_SQRT_3, -FRAC_1_SQRT_3],
24            [FRAC_1_SQRT_3, FRAC_1_SQRT_3],
25            [-FRAC_1_SQRT_3, FRAC_1_SQRT_3],
26        ]
27        .into()
28    }
29    fn integration_weights(&self) -> &ScalarList<G> {
30        &self.integration_weights
31    }
32    fn parametric_reference() -> ParametricReference<M, N> {
33        [[-1.0, -1.0], [1.0, -1.0], [1.0, 1.0], [-1.0, 1.0]].into()
34    }
35    fn parametric_weights() -> ScalarList<G> {
36        [1.0; G].into()
37    }
38    fn shape_functions(parametric_coordinate: ParametricCoordinate<M>) -> ShapeFunctions<N> {
39        let [xi_1, xi_2] = parametric_coordinate.into();
40        [
41            (1.0 - xi_1) * (1.0 - xi_2) / 4.0,
42            (1.0 + xi_1) * (1.0 - xi_2) / 4.0,
43            (1.0 + xi_1) * (1.0 + xi_2) / 4.0,
44            (1.0 - xi_1) * (1.0 + xi_2) / 4.0,
45        ]
46        .into()
47    }
48    fn shape_functions_gradients(
49        parametric_coordinate: ParametricCoordinate<M>,
50    ) -> ShapeFunctionsGradients<M, N> {
51        let [xi_1, xi_2] = parametric_coordinate.into();
52        [
53            [-(1.0 - xi_2) / 4.0, -(1.0 - xi_1) / 4.0],
54            [(1.0 - xi_2) / 4.0, -(1.0 + xi_1) / 4.0],
55            [(1.0 + xi_2) / 4.0, (1.0 + xi_1) / 4.0],
56            [-(1.0 + xi_2) / 4.0, (1.0 - xi_1) / 4.0],
57        ]
58        .into()
59    }
60}
conspire/domain/fem/block/element/surface/linear/quadrilateral/mod.rs

conspire/domain/fem/block/element/surface/linear/quadrilateral/
mod.rs
