A comparison of a posteriori error estimates for biharmonic problems solved by the FEM

• Autores: Karel Segeth
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 236, Nº 18, 2012 (Ejemplar dedicado a: FEMTEC 2011: 3rd International Conference on Computational Methods in Engineering and Science, May 9-13, 2011), págs. 4788-4797
• Idioma: inglés
• DOI: 10.1016/j.cam.2012.02.014
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• Resumen

  • The classical a posteriori error estimates are mostly oriented to the use in the finite element h-methods while the contemporary higher-order hp-methods usually require new approaches in a posteriori error estimation. These methods hold a very important position among adaptive numerical procedures for solving ordinary as well as partial differential equations arising from various technical applications.

    In the paper, we are concerned with a review and comparison of error estimation procedures for the biharmonic and some more general fourth order partial differential problems with special regards to the needs of the hp-method. We point out some advantages and drawbacks of analytical and computational a posteriori error estimates.