image.FEM: Image Plot of a FEM object In fdaPDE: Functional Data Analysis and Partial Differential Equations; Statistical Analysis of Functional and Spatial Data, Based on Regression with Partial Differential Regularizations

Description

Image plot of a `FEM` object, generated by the function `FEM` or returned by `smooth.FEM.basis`, `smooth.FEM.PDE.basis` or `smooth.FEM.PDE.sv.basis` can be visualized through an image plot.

Usage

 ```1 2``` ```## S3 method for class 'FEM' image(x, num_refinements, ...) ```

Arguments

 `x` A `FEM` object. `num_refinements` A natural number specifying how many bisections should by applied to each triangular element for plotting purposes. This functionality is useful where a discretization with 2nd order Finite Element is applied. `...` Arguments representing graphical options to be passed to plot3d.

`plot.FEM`
 ```1 2 3 4 5 6 7 8 9``` ```## Upload a triangular mesh and plot it data("mesh.2D.rectangular") plot(mesh.2D.rectangular) ## Create a linear Finite Element basis FEMbasis = create.FEM.basis(mesh.2D.rectangular) ## Define a sinusoidal function as expansion of this basis and plot it coeff <- sin(mesh.2D.rectangular\$nodes[,1])*cos(mesh.2D.rectangular\$nodes[,2]) FEM_object<- FEM(coeff, FEMbasis) image(FEM_object) ```