FEDEASLab

Utilities > Quadrature > S2Cubature

S2Cubature

Purpose

integration points and weights for 2d-integration over unit circle

Synopsis

[yfib,zfib,wfib] = S2Cubature (n)

Description

S2CUBATURE integration points and weights for 2d-integration over unit circle
  [YFIB,ZFIB,WFIB] = S2CUBATURE (N)
  the function determines the locations YFIB and ZFIB and integration weights WFIB
  for the 2d integration over the unit circle with N integration points;
  YFIB, ZFIB and WFIB are N x 1 column vectors
  N can be either 3, 4, 5, 6, 7, 9, 12, 16, 19, 21, 28, 32, 37, 41, 44, 48, 61, 64, 76, 108
  References:
  (1) Abramowicz/Stegun, Handbook of Mathematical Functions (1964)
  (2) Stroud, A.H., Approximate Calculation of Multiple Integrals (1970)
                    rules marked by (*) are particularly useful according to Stroud 
  (3) Engels, H.,   Numerical Quadrature and Cubature (1980)

  Section coordinate system:
                                   ^ y
                                   |
                                 . + .
                               /   |   \
                              /    |    \
                         z <- |----+     | 
                              \         /
                               \       /
                                 . _ .

Cross-Reference Information

This function calls:

This function is called by:
  • Create_IPMesh4Circ integration point coordinates, weights and material IDs for circular disc or annulus