Description Usage Arguments Value Examples

This function defines a FEM object.

1 | ```
FEM(coeff,FEMbasis)
``` |

`coeff` |
A vector or a matrix containing the coefficients for the Finite Element basis expansion. The number of rows
(or the vector's length) corresponds to the number of basis in |

`FEMbasis` |
A |

An `FEM`

object. This contains a list with components `coeff`

and `FEMbasis`

.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 | ```
library(fdaPDE)
## Upload the horseshoe2D data
data(horseshoe2D)
boundary_nodes = horseshoe2D$boundary_nodes
boundary_segments = horseshoe2D$boundary_segments
locations = horseshoe2D$locations
## Create the 2D mesh
mesh = create.mesh.2D(nodes = rbind(boundary_nodes, locations), segments = boundary_segments)
## Create the FEM basis
FEMbasis = create.FEM.basis(mesh)
## Compute the coeff vector evaluating the desired function at the mesh nodes
## In this case we consider the fs.test() function introduced by Wood et al. 2008
coeff = fs.test(mesh$nodes[,1], mesh$nodes[,2])
## Create the FEM object
FEMfunction = FEM(coeff, FEMbasis)
## Plot it
plot(FEMfunction)
``` |

```
Loading required package: geometry
Loading required package: rgl
Loading required package: Matrix
Loading required package: plot3D
Loading required package: plot3Drgl
Warning messages:
1: In rgl.init(initValue, onlyNULL) : RGL: unable to open X11 display
2: 'rgl.init' failed, running with 'rgl.useNULL = TRUE'.
3: no DISPLAY variable so Tk is not available
```

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