Multiplier Spaces for the Mortar Finite Element Method in Three Dimensions

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...

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 ...

The mortar element method for three dimensional finite elements

We present m thts paper the application of the mortar element method m the case where fini te element methods are used in each subdornains The novelty is m the posstbility of dealing with tenahedra for thefimte element mesh Thts paper thus complètes the analysis of the mot tai element methods that allows for couphng different spectral and/or finite element methods in adjascent mbdomains in a fl...

Multigrid for the Mortar Finite Element Method

A multigrid technique for uniformly preconditioning linear systems arising from a mortar finite element discretization of second order elliptic boundary value problems is described and analyzed. These problems are posed on domains partitioned into subdomains, each of which is independently triangulated in a multilevel fashion. The multilevel mortar finite element spaces based on such triangulat...

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