The authors develop preconditioners for systems arising from finite element discretizations of paraboblic problems of fourth order in space domain. They consider boundary conditions leading to a splitting of the discretized fourth order operator into two discrete second order operators. This property is used in assembling the preconditioners. The authors propose left and left-right preconditioners. They analyse the spectral properties of preconditioners. The results are presented on numerical experiments with the preconditioned conjugate gradients method and with the generalized minimal residual method.
Reviewer: Martin Plešinger (Liberec)