bim2a_axisymmetric_laplacian
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 plane geometries that DO NOT intersect the symmetry axis are admitted.
| ____ _|____
| | \ \ | |
z | | \ OK \| | NO!
| |______\ |\___|
| r |
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The equation taken into account is:
1/r * d(r * Fr)/dr + dFz/dz = f
with
F = [Fr, Fz]’ = - epsilon * kappa grad (u)
where epsilon is an element-wise constant scalar function, while kappa is a piecewise linear conforming scalar function.
See also: bim2a_axisymmetric_rhs, bim2a_axisymmetric_reaction, bim2a_axisymmetric_advection_diffusion, bim2a_laplacian, bim1a_laplacian, bim3a_laplacian
Source Code: bim2a_axisymmetric_laplacian