TY - GEN
T1 - Equilibrated stress reconstructions for linear elasticity problems with application to a posteriori error analysis
AU - Riedlbeck, Rita
AU - Di Pietro, Daniele A.
AU - Ern, Alexandre
N1 - Publisher Copyright:
© Springer International Publishing AG 2017.
PY - 2017/1/1
Y1 - 2017/1/1
N2 - We present an a posteriori error estimate for the linear elasticity problem. The estimate is based on an equilibrated reconstruction of the Cauchy stress tensor, which is obtained from mixed finite element solutions of local Neumann problems. We propose two different reconstructions: one using Arnold–Winther mixed finite element spaces providing a symmetric stress tensor, and one using Arnold–Falk–Winther mixed finite element spaces with a weak symmetry constraint. The performance of the estimate is illustrated on a numerical test with analytical solution.
AB - We present an a posteriori error estimate for the linear elasticity problem. The estimate is based on an equilibrated reconstruction of the Cauchy stress tensor, which is obtained from mixed finite element solutions of local Neumann problems. We propose two different reconstructions: one using Arnold–Winther mixed finite element spaces providing a symmetric stress tensor, and one using Arnold–Falk–Winther mixed finite element spaces with a weak symmetry constraint. The performance of the estimate is illustrated on a numerical test with analytical solution.
KW - A posteriori error estimate
KW - Arnold–Falk–Winther finite element
KW - Arnold–Winther finite element
KW - Equilibrated stress reconstruction
KW - Linear elasticity
UR - https://www.scopus.com/pages/publications/85020408649
U2 - 10.1007/978-3-319-57397-7_22
DO - 10.1007/978-3-319-57397-7_22
M3 - Conference contribution
AN - SCOPUS:85020408649
SN - 9783319573960
T3 - Springer Proceedings in Mathematics and Statistics
SP - 293
EP - 301
BT - Finite Volumes for Complex Applications VIII—Methods and Theoretical Aspects - FVCA8 2017
A2 - Cances, Clement
A2 - Omnes, Pascal
PB - Springer New York LLC
T2 - 8th International Symposium on Finite Volumes for Complex Applications - Methods and Theoretical Aspects, FVCA8 2017
Y2 - 12 June 2017 through 16 June 2017
ER -