Error Analysis of a Semidiscrete Numerical Scheme for Diffusion in Axially Symmetric Surfaces
Klaus Deckelnick, Gerhard Dziuk, Charles M. Elliott · SIAM Journal on Numerical Analysis · 2003
We analyze a semidiscrete numerical scheme for approximating the evolution of axially symmetric surfaces by surface diffusion. The fourth order equation is split into two coupled second order problems, which are approximated by linear finite elements. We prove error bounds for the resulting scheme and present numerical test calculations that confirm our analysis.