Geodesic
Mortar method for matching grids in a mixed scheme as applied to the biharmonic equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 4, pp. 681-695

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Nitsche's mortar method for matching grids in the Hermann–Miyoshi mixed scheme for the biharmonic equation is considered. A two-parameter mortar problem is constructed and analyzed. Existence and uniqueness theorems are proved under certain constraints on the parameters. The norm of the difference between the solutions to the mortar and original problems is estimated. The convergence rates are the same as in the Hermann–Miyoshi scheme on matching grids. 
@article{ZVMMF_2009_49_4_a9,
     author = {L. V. Maslovskaya and O. M. Maslovskaya},
     title = {Mortar method for matching grids in a~mixed scheme as applied to the biharmonic equation},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {681--695},
     publisher = {mathdoc},
     volume = {49},
     number = {4},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_4_a9/}
}
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L. V. Maslovskaya; O. M. Maslovskaya. Mortar method for matching grids in a mixed scheme as applied to the biharmonic equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 4, pp. 681-695. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_4_a9/