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Error analysis of a semidiscrete numerical scheme for diffusion in axially symmetric surfaces

journal contribution
posted on 2023-06-07, 13:52 authored by K Deckelnick, G Dziuk, Charles Martin Elliott
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.

History

Publication status

  • Published

Journal

SIAM Journal on Numerical Analysis

ISSN

0036-1429

Issue

6

Volume

41

Page range

2161-2179

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2007-03-16

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