Postprocessing and higher order convergence of the mixed finite element approximations of biharmonic eigenvalue problems |
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Institution: | 1. Department of Applied Informatics, Technical University of Gabrovo, Bulgaria;2. Department of Mathematics, Texas A&M University, 3368-TAMU, College Station, TX 77843, USA;3. Department of Computational Mathematics, Chalmers University of Technology, Sweden |
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Abstract: | 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. |
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