Spectral element method for parabolic interface problems

Arbaz Khan, Chandra Shekhar Upadhyay, Marc Gerritsma

Research output: Contribution to journalArticleScientificpeer-review

11 Citations (Scopus)
11 Downloads (Pure)

Abstract

In this paper, an h∕p spectral element method with least-square formulation for parabolic interface problem will be presented. The regularity result of the parabolic interface problem is proven for non-homogeneous interface data. The differentiability estimates and the main stability estimate theorem, using non-conforming spectral element functions, are proven. Error estimates are derived for h and p versions of the proposed method. Specific numerical examples are given to validate the theory.

Original languageEnglish
Pages (from-to)66-94
Number of pages29
JournalComputer Methods in Applied Mechanics and Engineering
Volume337
DOIs
Publication statusPublished - 1 Aug 2018

Keywords

  • Least-squares method
  • Linear parabolic interface problems
  • Nonconforming
  • Sobolev spaces of different orders in space and time
  • Spectral element method

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