Mixed and hybrid finite element methods
Mixed and hybrid finite element methods
The symmetric eigenvalue problem
The symmetric eigenvalue problem
A two-grid discretization scheme for eigenvalue problems
Mathematics of Computation
SIAM Journal on Numerical Analysis
A Zienkiewicz-type finite element applied to fourth-order problems
Journal of Computational and Applied Mathematics
Applied Numerical Mathematics
LSSC'05 Proceedings of the 5th international conference on Large-Scale Scientific Computing
LSSC'09 Proceedings of the 7th international conference on Large-Scale Scientific Computing
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A new procedure for accelerating the convergence of mixed finite element approximations of the eigenpairs and of the biharmonic operator is proposed. It is based on a postprocessing technique that involves an additional solution of a source problem on an augmented finite element space. This space could be obtained either by substantially refining the grid, the two-grid method, or by using the same grid but increasing the order of polynomials by one, the two-space method. The numerical results presented and discussed in the paper illustrate the efficiency of the postprocessing method.