Postprocessing and higher order convergence of the mixed finite element approximations of biharmonic eigenvalue problems Academic Article

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. 2004 Elsevier B.V. All rights reserved.

authors

• Lazarov, Raytcho

published proceedings

• JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

author list (cited authors)

• Andreev, A. B., Lazarov, R. D., & Racheva, M. R.

citation count

• 33

complete list of authors

• Andreev, AB||Lazarov, RD||Racheva, MR

publication date

• January 2005

publisher

• Elsevier  Publisher

published in

• Journal of Computational and Applied Mathematics  Journal

keywords

• Biharmonic Eigenvalue Problem
• Finite Element Approximation
• Mixed Method
• Postprocessing

Digital Object Identifier (DOI)

• 10.1016/j.cam.2004.12.015

start page

• 333

end page

• 349

volume

• 182

issue

• 2

URL

• http%3A%2F%2Fdx.doi.org%2F10.1016%2Fj.cam.2004.12.015