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Error analysis for an ALE evolving surface finite element method

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posted on 2023-06-08, 18:45 authored by Chandrasekhar VenkataramanChandrasekhar Venkataraman, Charles M Elliott
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.

History

Publication status

  • Published

File Version

  • Submitted version

Journal

Numerical Methods for Partial Differential Equations

ISSN

0749-159X

Publisher

John Wiley & Sons

Issue

2

Volume

31

Page range

459-499

Department affiliated with

  • Mathematics Publications

Full text available

  • Yes

Peer reviewed?

  • No

Legacy Posted Date

2015-06-05

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