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 0.1-2

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)