MEMBRANE

 

 Generate MathWorks's logos.

 

 

  L = MEMBRANE(k), for k <= 12, is the k-th eigenfunction of

  the L-shaped membrane.  The first three eigenfunctions have

  been shown on the covers of various MathWorks publications.

 

 

  MEMBRANE(k), with no output parameters, plots the k-th eigenfunction.

 

 

  MEMBRANE, with no input or output parameters, plots MEMBRANE(1).

 

 

  L = MEMBRANE(k,m,n,np) also sets some mesh and accuracy parameters:

 

 

    k = index of eigenfunction, default k = 1.

    m = number of points on 1/3 of boundary.  The size of

        the output is 2*m+1-by-2*m+1.  The default m = 15.

    n = number of terms in sum, default n = min(m,9).

    np = number of terms in partial sum, default np = min(n,2).

    With np = n, the eigenfunction is nearly zero on the boundary.

    With np < n, like np = 2, the boundary is not tied down.