Difference between revisions of "Grid polar.m"

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  [phi,r,L]=grid_polar(ncircles,rmax)
 
  [phi,r,L]=grid_polar(ncircles,rmax)
  
==Arguments==
+
==Parameters==
  
 
  ncircles - number of radial circles
 
  ncircles - number of radial circles
 
                 in the grid, an integer
 
                 in the grid, an integer
 
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     rmax    - maximum radius that the
 
     rmax    - maximum radius that the
 
                 grid must reach
 
                 grid must reach
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  phi      - a column vector of polar
 
  phi      - a column vector of polar
 
                 phi angles, radians
 
                 phi angles, radians
 
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     rmax    - a coluim vector of radii
 
     rmax    - a coluim vector of radii
 
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     L        - sparse Laplacian operator
 
     L        - sparse Laplacian operator
 
                 acting on functions defined
 
                 acting on functions defined
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                 same order as the grid
 
                 same order as the grid
  
c.brett@soton.ac.uk
 
ilya.kuprov@weizmann.ac.il
 
  
 
==See also==
 
==See also==
[[grid_igloo.m]], [[grid_fibon.m]], [[grid_plot.m]], [[Kernel_utilities#Integration_grids|Integration grids]]
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[[grid_igloo.m]], [[grid_fibon.m]], [[grid_plot.m]], [[arclength.m]], [[gaussleg.m]], [[get_hull.m]], [[grid_kron.m]], [[grid_test.m]], [[grid_trian.m]], [[one_vcell_solidangle.m]], [[repulsion.m]], [[shrewd.m]], [[sphtarea.m]], [[sphtrsubd.m]], [[vcell_solidangle.m]], [[voitlander.m]], [[voronoisphere.m]], [[zfs_sampling.m]], [[Kernel_utilities]]
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''Version 2.11, authors: [[Chadwick Brett]], [[Ilya Kuprov]]''

Latest revision as of 19:37, 6 June 2026


Generates a balanced polar grid in which the density of points does not increase towards the centre.

Syntax

[phi,r,L]=grid_polar(ncircles,rmax)

Parameters

ncircles - number of radial circles
               in the grid, an integer

    rmax     - maximum radius that the
               grid must reach

Outputs

phi      - a column vector of polar
               phi angles, radians

    rmax     - a coluim vector of radii

    L        - sparse Laplacian operator
               acting on functions defined
               as vector of values in the
               same order as the grid


See also

grid_igloo.m, grid_fibon.m, grid_plot.m, arclength.m, gaussleg.m, get_hull.m, grid_kron.m, grid_test.m, grid_trian.m, one_vcell_solidangle.m, repulsion.m, shrewd.m, sphtarea.m, sphtrsubd.m, vcell_solidangle.m, voitlander.m, voronoisphere.m, zfs_sampling.m, Kernel_utilities

Version 2.11, authors: Chadwick Brett, Ilya Kuprov