A Comparison of Dual Lagrange Multiplier Spaces for Mortar Finite Element Discretizations

A Comparison of Dual Lagrange Multiplier Spaces for Mortar Finite Element Discretizations

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 ...

A Quasi-dual Lagrange Multiplier Space for Serendipity Mortar Finite Elements in 3d

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 m...

Second Order Lagrange Multiplier Spaces for Mortar Finite Elements in 3D

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 m...

Multiplier Spaces for the Mortar Finite Element Method in Three Dimensions

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...