Fully computable bounds for a staggered discontinuous Galerkin method for the Stokes equations

Lina Zhao, Eun-Jae Park

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We first propose a guaranteed upper bound for an arbitrary order staggered discontinuous Galerkin (staggered DG) method for the Stokes equations with the use of the global inf–sup constant. Equilibrated stress reconstruction and velocity reconstruction are the main ingredients in the construction of the error estimator. Next, to improve the error estimation and to overcome the difficulties caused by the calculation of the global inf–sup constant, a refined error control relying on local inf–sup constants is also developed. Some minimization techniques and an explicit method are then established to facilitate the construction of the refined error control. Finally, some benchmark examples are tested to compare the performances of the proposed error estimators.

Original languageEnglish
Pages (from-to)4115-4134
Number of pages20
JournalComputers and Mathematics with Applications
Volume75
Issue number11
DOIs
Publication statusPublished - 2018 Jun 1

Fingerprint

Discontinuous Galerkin Method
Stokes Equations
Galerkin methods
Error Estimator
Error Control
Explicit Methods
Error Estimation
Error analysis
Benchmark
Upper bound
Arbitrary

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Computational Theory and Mathematics
  • Computational Mathematics

Cite this

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Fully computable bounds for a staggered discontinuous Galerkin method for the Stokes equations. / Zhao, Lina; Park, Eun-Jae.

In: Computers and Mathematics with Applications, Vol. 75, No. 11, 01.06.2018, p. 4115-4134.

Research output: Contribution to journalArticle

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