#[cfg(test)]
pub mod test;
use crate::{
fem::block::element::{
FiniteElement, ParametricCoordinate, ParametricCoordinates, ParametricReference,
ShapeFunctions, ShapeFunctionsGradients,
surface::{M, linear::LinearSurfaceElement},
},
math::ScalarList,
};
const G: usize = 1;
const N: usize = 3;
const P: usize = N;
pub type Triangle = LinearSurfaceElement<G, N>;
impl FiniteElement<G, M, N, P> for Triangle {
fn integration_points() -> ParametricCoordinates<G, M> {
[[1.0 / 3.0; M]].into()
}
fn integration_weights(&self) -> &ScalarList<G> {
&self.integration_weights
}
fn parametric_reference() -> ParametricReference<M, N> {
[[0.0, 0.0], [1.0, 0.0], [0.0, 1.0]].into()
}
fn parametric_weights() -> ScalarList<G> {
[1.0 / 2.0; G].into()
}
fn shape_functions(parametric_coordinate: ParametricCoordinate<M>) -> ShapeFunctions<N> {
let [xi_1, xi_2] = parametric_coordinate.into();
[1.0 - xi_1 - xi_2, xi_1, xi_2].into()
}
fn shape_functions_gradients(
_parametric_coordinate: ParametricCoordinate<M>,
) -> ShapeFunctionsGradients<M, N> {
[[-1.0, -1.0], [1.0, 0.0], [0.0, 1.0]].into()
}
}