Multiplier Spaces for the Mortar Finite Element Method in Three Dimensions Academic Article uri icon

abstract

  • We consider the construction of multiplier spaces for use with the mortar finite element method in three spatial dimensions on globally or locally quasi-uniform meshes. A set of abstract conditions is given for the multiplier spaces which are sufficient to guarantee a stable and convergent mortar approximation. Three examples of multipliers satisfying these conditions are presented. The first one is a dual basis example, while the remaining two are based on finite volumes. Finally, the results of computational examples illustrating the theory are reported.

author list (cited authors)

  • Kim, C., Lazarov, R. D., Pasciak, J. E., & Vassilevski, P. S.

citation count

  • 61

publication date

  • January 2001