**paraheat_pwc_plot**,
a MATLAB library which
calls paraheat_pwc() to
set up and solve a parameterized steady heat equation
in a 2D spatial domain, with a piecewise constant diffusivity
parameterized by vc,
and then uses radial basis functions (RBF) to reconstruct the
finite element solution from a set of sample values.

The computer code and data files made available on this web page are distributed under the GNU LGPL license.

paraheat_pwc_plot is available in a MATLAB version.

paraheat_gaussian, a MATLAB program which sets up and solves a parameterized steady heat equation in a 2D spatial domain, with a gaussian diffusivity parameterized by (xc,yc), sc and vc.

paraheat_gaussian_plot, a MATLAB program which calls paraheat_gaussian() to set up and solve a parameterized steady heat equation in a 2D spatial domain, with a gaussian diffusivity and then uses radial basis functions (RBF) to reconstruct the finite element solution from a set of sample values.

paraheat_gaussian_sample, a MATLAB program which repeatedly calls paraheat_gaussian() to set up and solve a parameterized steady heat equation in a 2D spatial domain, with a gaussian diffusivity, saving values of the finite element solution at selected points, and writing the saved data to a file.

paraheat_pwc, a MATLAB library which can set up and solve a parameterized steady heat equation in a 2D spatial domain, using diffusivity parameterized by vc, and reporting selected solution values vs.

paraheat_pwc_1d, a MATLAB program which sets up and solves a parameterized steady heat equation in a 1D region, with a piecewise constant diffusivity.

paraheat_pwc_sample, a MATLAB library which repeatedly calls paraheat_pwc() to set up and solve a parameterized steady heat equation in a 2D spatial domain, with a piecewise constant diffusivity, saving values of the finite element solution at selected points, and writing the saved data to a file.

- paraheat_pwc_plot.m, reconstructs the solution from the sensor values.
- paraheat_pwc_plot_batch.m, calls paraheat_pwc_plot() in a batch run.
- paraheat_pwc_plot.sh, runs the paraheat_pwc_plot() batch test.
- paraheat_pwc_plot.txt, the output file.

In some cases, plots are tagged with the random number seed associated with the problem.

- diffusivity_bars_987654321.png, a bar plot of the diffusivity function.
- diffusivity_patches_987654321.png, a patch plot of the diffusivity function.
- fem_contour_987654321.png, a contour plot of the solution.
- fem_contour_rbf_987654321.png, a contour plot of the RBF reconstruction.
- fem_surface_987654321.png, a surface plot of the solution.
- fem_surface_rbf_987654321.png, a surface plot of the RBF reconstruction.