Multiplier Spaces for the Mortar Finite Element Method in Three Dimensions

نویسندگان

  • Chisup Kim
  • Raytcho D. Lazarov
  • Joseph E. Pasciak
  • Panayot S. Vassilevski
چکیده

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 based on finite volumes. Finally, the results of computational examples illustrating the theory are reported.

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عنوان ژورنال:
  • SIAM J. Numerical Analysis

دوره 39  شماره 

صفحات  -

تاریخ انتشار 2001