Non-conforming least-squares spectral element method for Stokes equations on non-smooth domains

S. Mohapatra, P. Dutt, B. V. Rathish Kumar, Marc I. Gerritsma

Research output: Contribution to journalArticleScientificpeer-review

Abstract

In this paper we present a discontinuous least-squares spectral element method for Stokes equations with primitive variable formulation on both smooth and non-smooth domains. We propose an exponentially accurate numerical scheme based on the stability estimates and implement it on different polygonal domains. Preconditioned conjugate gradient method is used to obtain the numerical solution.

Original languageEnglish
Article number112696
Number of pages20
JournalJournal of Computational and Applied Mathematics
Volume372
DOIs
Publication statusPublished - 1 Jul 2020

Keywords

  • Corner singularities
  • Geometrical meshes
  • Least-squares methods
  • Preconditioner
  • Stokes equations

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