Partial Differential Equation Toolbox™

pdeplot - Generic plot function

Syntax

pdeplot(p,e,t,'PropertyName',PropertyValue,) 
h=pdeplot(p,e,t,'PropertyName',PropertyValue,)

Description

pdeplot(p,e,t,p1,v1,...) is the generic Partial Differential Equation Toolbox™ plot function. It can display several functions of a PDE solution at the same time.

The geometry of the PDE problem is given by the mesh data p, e, and t. For details on the mesh data representation, see initmesh.

Valid property/value pairs include the following.

The pdeplot is used both from inside the pdetool GUI and from the command line. It is able to display three entities simultaneously. xydata can be visualized by a surface plot. Either flat or interpolated (default) shading can be used for the surface plots. A contour plot can be superimposed on the surface plot (in black) or plotted independently (in colors) by setting contour to on. zdata is visualized by displaying height. The triangles can be either tilted by interpolation (default) or flat. Flow data can be visualized by plotting arrows like the MATLAB^® quiver plot. All data types can be either node data or triangle data (flow data can only be triangle data). Node data is represented by a column vector of length size(p,2) and triangle data is represented by a row vector of length size(t,2). If no xydata, zdata, or flowdata is supplied, pdeplot plots the mesh specified by p, e, and t.

The option mesh displays or hides (default) the triangle mesh in the plot. The option xygrid first converts the data to x-y data (using tri2grid), and then uses a standard MATLAB plotting algorithm. The property gridparam passes the tri2grid data to pdeplot. This speeds up animation (see pdedemo5 and pdedemo6). The property colormap renders the plot using any MATLAB colormap or color matrix. colorbar adds a color bar to the plot. title inserts a title into the plot. levels only applies to contour plots: Given a scalar integer value, it plots that number of equally spaced contour levels; given a vector of level values, it plots those contour lines on the levels in the vector.

h=pdeplot(p,t,u) additionally returns handles to the drawn axes objects.

Examples

The following command sequence plots the solution to Poisson's equation on the L-shaped membrane in 3-D.

[p,e,t]=initmesh('lshapeg'); 
u=assempde('lshapeb',p,e,t,1,0,1); 
pdeplot(p,e,t,'xydata',u,'zdata',u,'mesh','off');

See Also

pdenonlin

pdepoly