# Finite element methods on non-conforming grids by penalizing the matching constraint

- Volume: 37, Issue: 2, page 357-372
- ISSN: 0764-583X

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topBoillat, Eric. "Finite element methods on non-conforming grids by penalizing the matching constraint." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 37.2 (2003): 357-372. <http://eudml.org/doc/244673>.

@article{Boillat2003,

abstract = {The present paper deals with a finite element approximation of partial differential equations when the domain is decomposed into sub-domains which are meshed independently. The method we obtain is never conforming because the continuity constraints on the boundary of the sub-domains are not imposed strongly but only penalized. We derive a selection rule for the penalty parameter which ensures a quasi-optimal convergence.},

author = {Boillat, Eric},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},

keywords = {finite element methods; non-matching grids; penalty technique; elliptic problems; error estimate},

language = {eng},

number = {2},

pages = {357-372},

publisher = {EDP-Sciences},

title = {Finite element methods on non-conforming grids by penalizing the matching constraint},

url = {http://eudml.org/doc/244673},

volume = {37},

year = {2003},

}

TY - JOUR

AU - Boillat, Eric

TI - Finite element methods on non-conforming grids by penalizing the matching constraint

JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

PY - 2003

PB - EDP-Sciences

VL - 37

IS - 2

SP - 357

EP - 372

AB - The present paper deals with a finite element approximation of partial differential equations when the domain is decomposed into sub-domains which are meshed independently. The method we obtain is never conforming because the continuity constraints on the boundary of the sub-domains are not imposed strongly but only penalized. We derive a selection rule for the penalty parameter which ensures a quasi-optimal convergence.

LA - eng

KW - finite element methods; non-matching grids; penalty technique; elliptic problems; error estimate

UR - http://eudml.org/doc/244673

ER -

## References

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- [10] Y. Maday, C. Bernardi and A.T. Patera, A new nonconforming approach to domain decomposition: the mortar element method, in Nonlinear Partial Differential Equations and their applications, H. Brezis and J.L. Lions Eds., Vol. XI, Pitman (1994) 13–51. Zbl0797.65094
- [11] J. Nitsche, Über eine Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. Abh. Math. Sem. Univ. Hamburg 36 (1970/1971) 9–15. Zbl0229.65079
- [12] D. Schotzau, C. Schwab and R. Stenberg, Mixed hp-fem on anisotropic meshes ii. Hanging nodes and tensor products of boundary layer meshes. Numer. Math. 83 (1999) 667–697. Zbl0958.76049
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