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

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...

Mortar Finite Elements with Dual Lagrange Multipliers: Some Applications

Domain decomposition techniques provide a powerful tool for the numerical approximation of partial differential equations. We consider mortar techniques with dual Lagrange multiplier spaces to couple different discretization schemes. It is well known that the discretization error for linear mortar finite elements in the energy norm is of order h. Here, we apply these techniques to curvilinear 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 ...

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