Error analysis for an ALE evolving surface finite element method

Charles M. Elliott, Chandrasekhar Venkataraman*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)

Abstract

We consider an arbitrary Lagrangian-Eulerian evolving surface finite element method for the numerical approximation of advection and diffusion of a conserved scalar quantity on a moving surface. We describe the method, prove optimal order error bounds and present numerical simulations that agree with the theoretical results.

Original languageEnglish
Pages (from-to)459-499
Number of pages41
JournalNumerical Methods for Partial Differential Equations
Volume31
Issue number2
Early online date30 Oct 2014
DOIs
Publication statusPublished - Mar 2015

Keywords

  • ALE evolving surface finite elements
  • error analysis
  • computational examples

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