Numerical experiments for the Arnold-Winther mixed finite elements for the Stokes problem

Carsten Carstensen; Joscha Gedicke; Eun Jae Park

doi:10.1137/100802906

Numerical experiments for the Arnold-Winther mixed finite elements for the Stokes problem

Carsten Carstensen, Joscha Gedicke, Eun Jae Park

Department of Computational Science and Engineering

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

The stress-velocity formulation of the stationary Stokes problem allows an Arnold-Winther mixed finite element formulation with some superconvergent reconstruction of the velocity. This local postprocessing gives rise to two reliable a posteriori error estimators which recover optimal convergence order for the stress error estimates. The theoretical results are investigated in numerical benchmark examples.

Original language	English
Pages (from-to)	A2267-A2287
Journal	SIAM Journal on Scientific Computing
Volume	34
Issue number	4
DOIs	https://doi.org/10.1137/100802906
Publication status	Published - 2012

All Science Journal Classification (ASJC) codes

Computational Mathematics
Applied Mathematics

Access to Document

10.1137/100802906

Cite this

@article{ed57c18b50164e96ab22c4241dfd6339,

title = "Numerical experiments for the Arnold-Winther mixed finite elements for the Stokes problem",

abstract = "The stress-velocity formulation of the stationary Stokes problem allows an Arnold-Winther mixed finite element formulation with some superconvergent reconstruction of the velocity. This local postprocessing gives rise to two reliable a posteriori error estimators which recover optimal convergence order for the stress error estimates. The theoretical results are investigated in numerical benchmark examples.",

author = "Carsten Carstensen and Joscha Gedicke and Park, {Eun Jae}",

year = "2012",

doi = "10.1137/100802906",

language = "English",

volume = "34",

pages = "A2267--A2287",

journal = "SIAM Journal on Scientific Computing",

issn = "1064-8275",

publisher = "Society for Industrial and Applied Mathematics Publications",

number = "4",

}

TY - JOUR

T1 - Numerical experiments for the Arnold-Winther mixed finite elements for the Stokes problem

AU - Carstensen, Carsten

AU - Gedicke, Joscha

AU - Park, Eun Jae

PY - 2012

Y1 - 2012

N2 - The stress-velocity formulation of the stationary Stokes problem allows an Arnold-Winther mixed finite element formulation with some superconvergent reconstruction of the velocity. This local postprocessing gives rise to two reliable a posteriori error estimators which recover optimal convergence order for the stress error estimates. The theoretical results are investigated in numerical benchmark examples.

AB - The stress-velocity formulation of the stationary Stokes problem allows an Arnold-Winther mixed finite element formulation with some superconvergent reconstruction of the velocity. This local postprocessing gives rise to two reliable a posteriori error estimators which recover optimal convergence order for the stress error estimates. The theoretical results are investigated in numerical benchmark examples.

UR - http://www.scopus.com/inward/record.url?scp=84866381894&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84866381894&partnerID=8YFLogxK

U2 - 10.1137/100802906

DO - 10.1137/100802906

M3 - Article

AN - SCOPUS:84866381894

SN - 1064-8275

VL - 34

SP - A2267-A2287

JO - SIAM Journal on Scientific Computing

JF - SIAM Journal on Scientific Computing

IS - 4

ER -

Numerical experiments for the Arnold-Winther mixed finite elements for the Stokes problem

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this