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Hybrid coupling of CG and HDG discretizations based on Nitsche’s method

Author
La Spina, A.; Giacomini, M.; Huerta, A.
Type of activity
Journal article
Journal
Computational mechanics
Date of publication
2020-02
Volume
65
Number
2
First page
311
Last page
330
DOI
10.1007/s00466-019-01770-8
Project funding
Data assimilation for credible engineering simulations
Empowered decision-making in simulation-based engineering: advanced model reduction for real-time, inverse and optimization in industrial problems
Repository
http://hdl.handle.net/2117/178282 Open in new window
URL
https://link.springer.com/article/10.1007%2Fs00466-019-01770-8 Open in new window
Abstract
A strategy to couple continuous Galerkin (CG) and hybridizable discontinuous Galerkin (HDG) discretizations based only on the HDG hybrid variable is presented for linear thermal and elastic problems. The hybrid CG-HDG coupling exploits the definition of the numerical flux and the trace of the solution on the mesh faces to impose the transmission conditions between the CG and HDG subdomains. The con- tinuity of the solution is imposed in the CG problem via Nitsche’s method, whereas the equilibr...
Citation
La Spina, A.; Giacomini, M.; Huerta, A. Hybrid coupling of CG and HDG discretizations based on Nitsche’s method. "Computational mechanics", Febrer 2020, vol. 65, núm. 2, p. 311-330.
Keywords
Coupling with nite element, Hybridizable discontinuous Galerkin, Locking-free, Nitsche's method, Superconvergence
Group of research
LACÀN - Numerical Methods for Applied Sciences and Engineering

Participants