# Physics-Informed Spatial and Functional Data Analysis

## Documentation for package ‘fdaPDE’ version 1.1-21

- DESCRIPTION file.
- Package NEWS.

## Help Pages

covs.test | Covariate test function for the horseshoe domain
create.FEM.basis | Create a FEM basis
create.mesh.1.5D | Create a 1.5D linear network mesh
create.mesh.2.5D | Create a 'mesh.2.5D' object from the nodes locations and the connectivity matrix
create.MESH.2D | Deprecated Functions
create.mesh.2D | Create a 2D triangular mesh
create.mesh.3D | Create a 'mesh.3D' object from the connectivity matrix and nodes locations
DE.FEM | Nonparametric density estimation with differential regularization
DE.FEM.time | Nonparametric spatio-temporal density estimation with differential regularization
DE.heat.FEM | Density initialization
DE.heat.FEM.time | Spatio-temporal density initialization
eval.FEM | Evaluate a FEM object at a set of point locations
eval.FEM.time | Evaluate a FEM.time object at a set of point locations
fdaPDE-deprecated | Deprecated Functions
FEM | Define a surface or spatial field by a Finite Element basis expansion
FEM.time | Define a spatio-temporal field by a Finite Element basis expansion
FPCA.FEM | Smooth Functional Principal Component Analysis
fs.test | FELSPLINE test function
fs.test.3D | FELSPLINE 3D test function
horseshoe2.5D | Horseshoe2.5D domain
horseshoe2D | Horseshoe domain
hub2.5D | Hub domain
image.FEM | Image Plot of a 2D FEM object
image.FEM.time | Image plot of a 2D FEM.time object at a given time
inferenceDataObject | Class for inference data
inferenceDataObject-class | Class for inference data
inferenceDataObjectBuilder | Constructor for inferenceDataObject class
inferenceDataObjectTime | Class for inference data in ST case
inferenceDataObjectTime-class | Class for inference data in ST case
inferenceDataObjectTimeBuilder | Constructor for inferenceDataObjectTime class
plot.FEM | Plot a 'FEM' object
plot.FEM.time | Plot a 'FEM.time' object at a given time
plot.mesh.1.5D | Plot a mesh.1.5D object
plot.mesh.2.5D | Plot a mesh.2.5D object
plot.mesh.2D | Plot a mesh.2D object
plot.mesh.3D | Plot a mesh.3D object
plot.MESH2D | Deprecated Functions
projection.points.1.5D | Project 2D points onto 1.5D linear network mesh
projection.points.2.5D | Project 3D points onto 2D 2.5D triangular mesh
quasicircle2D | Quasicircle2D domain
quasicircle2Dareal | Quasicircle2Dareal domain
refine.by.splitting.mesh.1.5D | Create a 'mesh.1.5D' object by splitting each edge of a given mesh into two subedges.
refine.by.splitting.mesh.2.5D | Create a 'mesh.2.5D' object by splitting each triangle of a given mesh into four subtriangles.
refine.by.splitting.mesh.2D | Create a 'mesh.2D' object by splitting each triangle of a given mesh into four subtriangles.
refine.by.splitting.mesh.3D | Create a 'mesh.3D' object by splitting each tetrahedron of a given mesh into eight subtetrahedrons.
refine.mesh.1.5D | Refine 1.5D mesh
refine.MESH.2D | Deprecated Functions
refine.mesh.2D | Refine a 2D triangular mesh
R_eval.FEM | Deprecated Functions
R_eval.FEM.basis | Deprecated Functions
R_mass | Deprecated Functions
R_smooth.FEM.basis | Deprecated Functions
R_stiff | Deprecated Functions
smooth.FEM | Spatial regression with differential regularization
smooth.FEM.basis | Deprecated Functions
smooth.FEM.PDE.basis | Deprecated Functions
smooth.FEM.PDE.sv.basis | Deprecated Functions
smooth.FEM.time | Space-time regression with differential regularization
sphere3Ddata | Sphere3Ddata