On Mixed Methods for Biharmonic Problems on Polygonal Domains
ao.Univ.-Prof. Dipl.-Ing. Dr. Walter ZulehnerJan. 15, 2013, 3:30 p.m. S2 059
For the first and the third boundary value problem of the biharmonic
operator, which are interesting model problems in elasticity as well as
in fluid mechanics, mixed second-order formulations are presented which
are equivalent to the original fourth-order formulation without
convexity assumptions on the domain.
Based on these results the construction of preconditioners for the
corresponding discretized systems is discussed.