pub fn create<T: RlstScalar + Getrf + Getri, TGeo: RlstScalar>(
cell_type: ReferenceCellType,
degree: usize,
continuity: Continuity,
) -> CiarletElement<T, CovariantPiolaMap, TGeo>Expand description
Create a Nedelec (first kind) element
Examples found in repository?
ndmesh/examples/test_push_forward.rs (line 152)
142fn test_nc_push_forward() {
143 let mut b = SingleElementMeshBuilder::<f64>::new(3, (ReferenceCellType::Triangle, 1));
144 b.add_point(0, &[0.0, 0.0, 0.0]);
145 b.add_point(1, &[1.0, 0.0, 0.0]);
146 b.add_point(2, &[2.0, 0.0, 1.0]);
147 b.add_point(3, &[0.0, 1.0, 0.0]);
148 b.add_cell(0, &[0, 1, 3]);
149 b.add_cell(1, &[1, 2, 3]);
150 let mesh = b.create_mesh();
151
152 let e = nedelec::create::<f64, f64>(ReferenceCellType::Triangle, 4, Continuity::Standard);
153
154 let npts = 5;
155
156 let mut cell0_points = rlst_dynamic_array!(f64, [2, npts]);
157 for i in 0..npts {
158 cell0_points[[1, i]] = i as f64 / (npts - 1) as f64;
159 cell0_points[[0, i]] = 1.0 - cell0_points[[1, i]];
160 }
161 let mut cell0_table = DynArray::<f64, 4>::from_shape(e.tabulate_array_shape(0, npts));
162 e.tabulate(&cell0_points, 0, &mut cell0_table);
163
164 let mut points = rlst_dynamic_array!(f64, [2, npts]);
165 for i in 0..npts {
166 points[[0, i]] = 0.0;
167 points[[1, i]] = i as f64 / (npts - 1) as f64;
168 }
169
170 let mut table = DynArray::<f64, 4>::from_shape(e.tabulate_array_shape(0, npts));
171 e.tabulate(&points, 0, &mut table);
172
173 let gmap = mesh.geometry_map(ReferenceCellType::Triangle, 1, &points);
174
175 let mut jacobians = rlst_dynamic_array!(f64, [mesh.geometry_dim(), mesh.topology_dim(), npts]);
176 let mut jinv = rlst_dynamic_array!(f64, [mesh.topology_dim(), mesh.geometry_dim(), npts]);
177 let mut jdets = vec![0.0; npts];
178
179 gmap.jacobians_inverses_dets(1, &mut jacobians, &mut jinv, &mut jdets);
180
181 let mut cell1_table =
182 DynArray::<f64, 4>::from_shape([table.shape()[0], table.shape()[1], table.shape()[2], 3]);
183 e.push_forward(&table, 0, &jacobians, &jdets, &jinv, &mut cell1_table);
184
185 // Check that basis functions dotted with tangent to edge are continuous between cells
186 for (cell0_dof, cell1_dof) in izip!(
187 e.entity_closure_dofs(1, 0).unwrap(),
188 e.entity_closure_dofs(1, 1).unwrap()
189 ) {
190 for i in 0..npts {
191 assert_relative_eq!(
192 (cell0_table[[0, i, *cell0_dof, 0]] - cell0_table[[0, i, *cell0_dof, 1]])
193 / f64::sqrt(2.0),
194 (cell1_table[[0, i, *cell1_dof, 0]] - cell1_table[[0, i, *cell1_dof, 1]])
195 / f64::sqrt(2.0),
196 epsilon = 1e-10
197 );
198 }
199 }
200}