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A superconvergent HDG method for stokes flow with strongly enforced symmetry of the stress tensor

Author
Giacomini, M.; Karkoulias, A.; Sevilla, R.; Huerta, A.
Type of activity
Journal article
Journal
Journal of scientific computing
Date of publication
2018-12
Volume
77
Number
3
First page
1679
Last page
1702
DOI
https://doi.org/10.1007/s10915-018-0855-y Open in new window
Project funding
Data assimilation for credible engineering simulations
Repository
http://hdl.handle.net/2117/125349 Open in new window
URL
https://link.springer.com/article/10.1007%2Fs10915-018-0855-y Open in new window
Abstract
The final publication is available at Springer via http://dx.doi.org/10.1007/s10915-018-0855-y This work proposes a superconvergent hybridizable discontinuous Galerkin (HDG) method for the approximation of the Cauchy formulation of the Stokes equation using same degree of polynomials for the primal and mixed variables. The novel formulation relies on the well-known Voigt notation to strongly enforce the symmetry of the stress tensor. The proposed strategy introduces several advantages with respe...
Citation
Giacomini, M., Karkoulias, A., Sevilla, R., Huerta, A. A superconvergent HDG method for stokes flow with strongly enforced symmetry of the stress tensor. "Journal of scientific computing", Desembre 2018, vol. 77, núm. 3, p. 1679-1702.
Keywords
Cauchy stress formulation, Hybridizable discontinuous Galerkin, Stokes flow, Superconvergence, Voigt notation
Group of research
LACÀN - Numerical Methods for Applied Sciences and Engineering

Participants