Department of Mathematics and Computer Science, University of Leipzig
A Finite Element Method for the Capillary Equation
Abstract
In the case of a circular tube conforming elements defined over annular
subdomains are used. These elements are approximate solutions of the
capillary equation over an annulus.
For general domains lower or upper hemispheres defined over triangles are
used as nonconforming finite elements. These elements provide an appropriate
approximation of the capillary equation which says that the mean Gauss
curvature is proportional to the height of the surface over the base
domain.
