# A quasi-dual Lagrange multiplier space for serendipity mortar finite elements in 3D

Bishnu P. Lamichhane; Barbara I. Wohlmuth

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- Volume: 38, Issue: 1, page 73-92
- ISSN: 0764-583X

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topLamichhane, Bishnu P., and Wohlmuth, Barbara I.. "A quasi-dual Lagrange multiplier space for serendipity mortar finite elements in 3D." ESAIM: Mathematical Modelling and Numerical Analysis 38.1 (2010): 73-92. <http://eudml.org/doc/194209>.

@article{Lamichhane2010,

abstract = {
Domain decomposition techniques provide a flexible tool for the numerical
approximation of partial differential equations. Here, we consider
mortar techniques for quadratic finite elements in 3D with
different Lagrange multiplier spaces.
In particular, we
focus on Lagrange multiplier spaces
which yield optimal discretization
schemes and a locally supported basis for the associated
constrained mortar spaces in case
of hexahedral triangulations. As a result,
standard efficient iterative solvers as multigrid methods
can be easily adapted to the nonconforming situation.
We present the discretization errors in different norms for
linear and quadratic mortar finite elements with
different Lagrange multiplier spaces.
Numerical results illustrate the performance of our approach.
},

author = {Lamichhane, Bishnu P., Wohlmuth, Barbara I.},

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

keywords = {Mortar finite elements; Lagrange multiplier; dual space;
domain decomposition; nonmatching triangulation.; error bounds; domain decomposition; finite elements; hexahedral triangulations; multigrid methods; numerical results},

language = {eng},

month = {3},

number = {1},

pages = {73-92},

publisher = {EDP Sciences},

title = {A quasi-dual Lagrange multiplier space for serendipity mortar finite elements in 3D},

url = {http://eudml.org/doc/194209},

volume = {38},

year = {2010},

}

TY - JOUR

AU - Lamichhane, Bishnu P.

AU - Wohlmuth, Barbara I.

TI - A quasi-dual Lagrange multiplier space for serendipity mortar finite elements in 3D

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2010/3//

PB - EDP Sciences

VL - 38

IS - 1

SP - 73

EP - 92

AB -
Domain decomposition techniques provide a flexible tool for the numerical
approximation of partial differential equations. Here, we consider
mortar techniques for quadratic finite elements in 3D with
different Lagrange multiplier spaces.
In particular, we
focus on Lagrange multiplier spaces
which yield optimal discretization
schemes and a locally supported basis for the associated
constrained mortar spaces in case
of hexahedral triangulations. As a result,
standard efficient iterative solvers as multigrid methods
can be easily adapted to the nonconforming situation.
We present the discretization errors in different norms for
linear and quadratic mortar finite elements with
different Lagrange multiplier spaces.
Numerical results illustrate the performance of our approach.

LA - eng

KW - Mortar finite elements; Lagrange multiplier; dual space;
domain decomposition; nonmatching triangulation.; error bounds; domain decomposition; finite elements; hexahedral triangulations; multigrid methods; numerical results

UR - http://eudml.org/doc/194209

ER -

## References

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