# Functional Data Analysis and Partial Differential Equations; Statistical Analysis of Functional and Spatial Data, Based on Regression with Partial Differential Regularizations

## Documentation for package ‘fdaPDE’ version 0.1-4

- DESCRIPTION file.

## Help Pages

create.FEM.basis | Create a FEM basis
create.MESH.2D | Create a triangular mesh
eval.FEM | Evaluate a FEM object at a set of point locations
FEM | Define a surface or spatial field by a Finite Element basis expansion
image.FEM | Image Plot of a FEM object
mesh.2D.rectangular | Simple Rectangular mesh
mesh.2D.simple | Simple mesh
MeuseBorder | Boundary of the Meuse River data set
MeuseData | Meuse river data set
plot.FEM | Plot a 'FEM' object
plot.MESH2D | Plot a MESH2D object
refine.MESH.2D | Refine a triangular mesh
R_elementProperties | Compute some properties for each triangular element of the mesh
R_eval.FEM | Evaluate a FEM object at a set of locations
R_eval.FEM.basis | Evaluate Finite Element bases and their Derivatives at a set of locations
R_mass | Compute the mass matrix
R_smooth.FEM.basis | Spatial regression with differential regularization (fully implemented in R code)
R_stiff | Compute the stiffness matrix
smooth.FEM.basis | Spatial regression with differential regularization: stationary and isotropic case (Laplacian)
smooth.FEM.PDE.basis | Spatial regression with differential regularization: anysotropic case (elliptic PDE)
smooth.FEM.PDE.sv.basis | Spatial regression with differential regularization: anysotropic and non-stationary case (elliptic PDE with space-varying coefficients)