A Comparison of Dual Lagrange Multiplier Spaces for Mortar Finite Element Discretizations
نویسندگان
چکیده
منابع مشابه
A Mortar Finite Element Method Using Dual Spaces for the Lagrange Multiplier
The mortar nite element method allows the coupling of diierent discretization schemes and triangulations across subregion boundaries. In the original mortar approach the matching at the interface is realized by enforcing an orthogonality relation between the jump and a modiied trace space which serves as a space of Lagrange multipliers. In this paper, this Lagrange multiplier space is replaced ...
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We consider the construction of multiplier spaces for use with the mortar finite element method in three spatial dimensions. Abstract conditions are given for the multiplier spaces which are sufficient to guarantee a stable and convergent mortar approximation. Three examples of multipliers satisfying these conditions are given. The first one is a dual basis example while the remaining two are b...
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ژورنال
عنوان ژورنال: ESAIM: Mathematical Modelling and Numerical Analysis
سال: 2002
ISSN: 0764-583X,1290-3841
DOI: 10.1051/m2an:2003002