Publication:

The inf-sup constant for hp-Crouzeix-Raviart triangular elements

Date

Date

Date
2023
Journal Article
Published version

Citations

Citation copied

Sauter, S. (2023). The inf-sup constant for hp-Crouzeix-Raviart triangular elements. Computers & Mathematics with Applications, 149, 49–70. https://doi.org/10.1016/j.camwa.2023.08.023

Abstract

Abstract

Abstract

In this paper, we consider the discretization of the two-dimensional stationary Stokes equation by Crouzeix-Raviart elements for the velocity of polynomial order on conforming triangulations and discontinuous pressure approximations of order . We will bound the inf-sup constant from below independent of the mesh size and show that it depends only logarithmically on k. Our assumptions on the mesh are very mild: for odd k we require that the triangulations contain at least one inner vertex while for even k we assume that the triangulati

Additional indexing

Creators (Authors)

  • Sauter, Stefan
    affiliation.icon.alt

Journal/Series Title

Journal/Series Title

Journal/Series Title

Volume

Volume

Volume
149

Page range/Item number

Page range/Item number

Page range/Item number
49

Page end

Page end

Page end
70

Item Type

Item Type

Item Type
Journal Article

Dewey Decimal Classifikation

Dewey Decimal Classifikation

Dewey Decimal Classifikation

Keywords

Computational Mathematics, Computational Theory and Mathematics, Modeling and Simulation

Language

Language

Language
English

Publication date

Publication date

Publication date
2023-11-01

Date available

Date available

Date available
2023-12-20

Publisher

Publisher

Publisher

ISSN or e-ISSN

ISSN or e-ISSN

ISSN or e-ISSN
0898-1221

OA Status

OA Status

OA Status
Closed

Citations

Citation copied

Sauter, S. (2023). The inf-sup constant for hp-Crouzeix-Raviart triangular elements. Computers & Mathematics with Applications, 149, 49–70. https://doi.org/10.1016/j.camwa.2023.08.023

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