# On the inf-sup condition for higher order mixed FEM on meshes with hanging nodes

Vincent Heuveline; Friedhelm Schieweck

ESAIM: Mathematical Modelling and Numerical Analysis (2007)

- Volume: 41, Issue: 1, page 1-20
- ISSN: 0764-583X

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topHeuveline, Vincent, and Schieweck, Friedhelm. "On the inf-sup condition for higher order mixed FEM on meshes with hanging nodes." ESAIM: Mathematical Modelling and Numerical Analysis 41.1 (2007): 1-20. <http://eudml.org/doc/250031>.

@article{Heuveline2007,

abstract = {
We consider higher order mixed finite element methods for the incompressible
Stokes or Navier-Stokes equations with Qr-elements for the velocity and
discontinuous $P_\{r-1\}$-elements for the pressure where the order
r can vary from element to element
between 2 and a fixed bound $r^*$.
We prove the inf-sup condition uniformly with respect to the meshwidth h
on general quadrilateral and hexahedral meshes with hanging nodes.
},

author = {Heuveline, Vincent, Schieweck, Friedhelm},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Inf-sup condition; higher order mixed finite element;
adaptive grids; hanging nodes.; inf-sup condition; adaptive grids; hanging nodes; stability; Stokes equations},

language = {eng},

month = {4},

number = {1},

pages = {1-20},

publisher = {EDP Sciences},

title = {On the inf-sup condition for higher order mixed FEM on meshes with hanging nodes},

url = {http://eudml.org/doc/250031},

volume = {41},

year = {2007},

}

TY - JOUR

AU - Heuveline, Vincent

AU - Schieweck, Friedhelm

TI - On the inf-sup condition for higher order mixed FEM on meshes with hanging nodes

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2007/4//

PB - EDP Sciences

VL - 41

IS - 1

SP - 1

EP - 20

AB -
We consider higher order mixed finite element methods for the incompressible
Stokes or Navier-Stokes equations with Qr-elements for the velocity and
discontinuous $P_{r-1}$-elements for the pressure where the order
r can vary from element to element
between 2 and a fixed bound $r^*$.
We prove the inf-sup condition uniformly with respect to the meshwidth h
on general quadrilateral and hexahedral meshes with hanging nodes.

LA - eng

KW - Inf-sup condition; higher order mixed finite element;
adaptive grids; hanging nodes.; inf-sup condition; adaptive grids; hanging nodes; stability; Stokes equations

UR - http://eudml.org/doc/250031

ER -

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