Postprocessing and improved accuracy of the lowest-order mixed finite element approximation for biharmonic eigenvalues Conference Paper

abstract

• The mixed finite element method for the biharmonic eigenvalue problem using linear or bilinear finite elements is considered. The paper is based on approach described by the same authors in [1], where polynomials of degree n, n 2, were used. The case of linear finite elements was studied by Ishihara in [5], where an error estimate of rate (h1/2) for the eigenvalues and the eigenfunctions was established. Using postprocessing we derive an improved convergence rate for the approximate eigenvalues, namely (h). This result is confirmed by model numerical experiments. Springer-Verlag Berlin Heidelberg 2006.

authors

• Lazarov, Raytcho

published proceedings

• LARGE-SCALE SCIENTIFIC COMPUTING

author list (cited authors)

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

citation count

• 2

complete list of authors

• Andreev, A||Lazarov, R||Racheva, M

editor list (cited editors)

• Lirkov, I., Margenov, S., & Wasniewski, J.

publication date

• June 2006

publisher

• Springer Nature  Publisher

published in

• Lecture Notes in Computer Science  Journal

keywords

• 46 Information And Computing Sciences

Digital Object Identifier (DOI)

• 10.1007/11666806_70

International Standard Book Number (ISBN) 10

• 3-540-31994-8

International Standard Book Number (ISBN) 13

• 9783540319948

start page

• 613

end page

• 620

volume

• 3743

URL

• http://dx.doi.org/10.1007/11666806_70