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Preconditioners with projectors for mixed hybrid finite element methods

Yuri A. Kuznetsov, Vasily K. Kramarenko
2017 Russian Journal of Numerical Analysis and Mathematical Modelling  
AbstractWe propose and investigate numerically two new preconditioners for the matrices, which arise in the mixed-hybrid finite element methods for diffusion equation in strongly heterogeneous media. Both preconditioners include special projectors on the vector spaces orthogonal to the vectors with constant components. We give general description of the preconditioners and discuss numerical results which demonstrate their efficiency compared to the classical diagonal preconditioner.
doi:10.1515/rnam-2017-0004 fatcat:cazw7drvd5bzpidfif3fjjdjka