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Function File: A = bim1a_axisymmetric_laplacian (mesh,epsilon,kappa)

Build the standard finite element stiffness matrix for a diffusion problem in cylindrical coordinates with axisymmetric configuration. Rotational symmetry is assumed with respect to be the vertical axis r=0. Only grids that DO NOT contain r=0 are admissible.

   |   |-------|   OK       |--|-----|   NO!
  r=0                         r=0

The equation taken into account is:

- 1/r * (r * epsilon * kappa ( u’ ))’ = f

where epsilon is an element-wise constant scalar function, while kappa is a piecewise linear conforming scalar function.

See also: bim1a_axisymmetric_rhs, bim1a_axisymmetric_reaction, bim1a_axisymmetric_advection_diffusion, bim2a_laplacian, bim3a_laplacian.

Package: bim