Math @ Duke

Publications [#9837] of Chisup Kim
Papers Published
 Chisup Kim, Raytcho D. Lazarov, Joseph E. Pasciak, and Panayot S. Vassilevsk, Multiplier spaces for the mortar finite element method in three dimensions,
SIAM Journal on Numerical Analysis, vol. 39 (2001), pp. 519538
[36706]
(last updated on 2001/10/08)
Abstract: We consider the construction of multiplier spaces for use
with the mortar finite element method in three spatial
dimensions on globally or
locally quasiuniform 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.


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