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

Bishnu P. Lamichhane; Barbara I. Wohlmuth

- 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 - Modélisation Mathématique et Analyse Numérique 38.1 (2004): 73-92. <http://eudml.org/doc/245782>.

@article{Lamichhane2004,

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 - Modélisation Mathématique et Analyse Numérique},

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

language = {eng},

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/245782},

volume = {38},

year = {2004},

}

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 - Modélisation Mathématique et Analyse Numérique

PY - 2004

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; finite elements; hexahedral triangulations; multigrid methods; numerical results

UR - http://eudml.org/doc/245782

ER -

## References

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