Available Displays

The available displays are of three types: functions, triangulations, and convergence plots. Functions can be plotted as a surface plot (shows the function on a uniform rectangular grid, with hidden lines, see Fig. 1), a contour plot, facets (shows the function surface constructed of triangles from the adaptive grid, see Fig. 2), surface plot with the triangulation in the plane below it (see Fig. 3), and facets with the triangulation in the plane below it. The functions that can be plotted are the computed solution, the true solution, the computed and true solutions on the same graph, and the error. The last four can only be plotted if the true solution is provided by the user (see section 7.1). The triangulation can be displayed by itself (see Fig. 4). Convergence plots are log-log graphs of the number of nodes or cpu time vs. the estimate of the energy norm of the error (relative to the norm of the solution), the true energy norm of the error, the maximum norm ( norm) of the error, or the error estimate and energy norm together (see Fig. 5). If the true solution is not provided, only the error estimate makes sense.

The actual graphical displays, with their identification number, are:

1 -- Computed Solution; Surface

2 -- Computed Solution; Contour

3 -- Computed Solution; Facets

4 -- Computed Solution; Surface and Triangulation

6 -- Computed Solution; Facets and Triangulation

11 -- True Solution; Surface

12 -- True Solution; Contour

13 -- True Solution; Facets

14 -- True Solution; Surface and Triangulation

16 -- True Solution; Facets and Triangulation

21 -- Computed & True Solutions; Surface

22 -- Computed & True Solutions; Contour

23 -- Computed & True Solutions; Facets

24 -- Computed & True Solutions; Surface and Triangulation

26 -- Computed & True Solutions; Facets and Triangulation

31 -- Error; Surface

32 -- Error; Contour

33 -- Error; Facets

34 -- Error; Surface and Triangulation

35 -- Error; Facets and Triangulation

41 -- Triangulation

51 -- Convergence; Nodes vs. Energy Error

52 -- Convergence; Nodes vs. Maximum Error

53 -- Convergence; Nodes vs. Error Estimate

54 -- Convergence; Nodes vs. Energy Error and Error Estimate

61 -- Convergence; Time vs. Energy Error

62 -- Convergence; Time vs. Maximum Error

63 -- Convergence; Time vs. Error Estimate

64 -- Convergence; Time vs. Energy Error and Error Estimate