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Tutorial on Hybridizable Discontinuous Galerkin (HDG) for second-order elliptic problems

Author
Sevilla, R.; Huerta, A.
Type of activity
Book chapter
Book
Advanced finite element technologies
First page
105
Last page
129
Publisher
Springer
Date of publication
2016
ISBN
978-3-319-31925-4 Open in new window
DOI
https://doi.org/10.1007/978-3-319-31925-4 Open in new window
Repository
http://hdl.handle.net/2117/88137 Open in new window
URL
http://link.springer.com/book/10.1007/978-3-319-31925-4 Open in new window
Abstract
The HDG is a new class of discontinuous Galerkin (DG) methods that shares favorable properties with classical mixed methods such as the well known Raviart-Thomas methods. In particular, HDG provides optimal convergence of both the primal and the dual variables of the mixed formulation. This property enables the construction of superconvergent solutions, contrary to other popular DG methods. In addition, its reduced computational cost, compared to other DG methods, has made HDG an attractive alte...
Citation
Sevilla, R., Huerta, A. Tutorial on Hybridizable Discontinuous Galerkin (HDG) for second-order elliptic problems. A: "Advanced finite element technologies". Springuer International Publishing, 2016, p. 105-129.
Group of research
LACÀN - Numerical Methods for Applied Sciences and Engineering

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