Humboldt-Universität zu Berlin - Mathematisch-Naturwissenschaftliche Fakultät - Institut für Mathematik

Preprint 2014-18


Carsten Carstensen and Joscha Gedicke


Robust residual-based a posteriori Arnold-Winther mixed finite element analysis in elasticity.



Abstract: This paper presents a residual-based a posteriori error estimator for the Arnold-Winther mixed finite element that utilises a postprocessing for the skew-symmetric part of the strain. Numerical experiments verify the proven reliability and efficiency for suitable approximation of the skew-symmetric deformation gradient. Numerical evidence supports that the L^2-stress error estimator is robust in the Poisson ratio and allows stable error control even in the incompressible limit for constant material behaviour.


Preprint series: Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), 2014-18


28 pp.