Zeitschriftenartikel:
D. Braess, A. Pechstein, J. Schöberl:
"An Equilibration Based A Posteriori Error Estimate for the Biharmonic Equation and Two Finite Element Methods";
IMA J. Numer. Anal.,
40
(2020),
2;
S. 951
- 975.
Kurzfassung englisch:
We develop an a posteriori error bound for the interior penalty discontinuous Galerkin approximation of the biharmonic equation with continuous finite elements. The error bound is based on the two-energies principle and requires the computation of an equilibrated moment tensor. The natural space for the moment tensor is that of symmetric tensor fields with continuous normal-normal components, and is well-known from the Hellan-Herrmann-Johnson mixed formulation. We propose a construction that is totally local. The procedure can also be applied to the original Hellan-Herrmann-Johnson formulation, which directly provides an equilibrated moment tensor.
"Offizielle" elektronische Version der Publikation (entsprechend ihrem Digital Object Identifier - DOI)
http://dx.doi.org/10.1093/imanum/drz005
Erstellt aus der Publikationsdatenbank der Technischen Universität Wien.