Abstract
Up to now we have considered Galerkin methods with subspaces of continuous polynomial functions, either within the finite element method (Chapter 3) or the spectral element method (Chapter 10). This chapter deals with approximation techniques based on subspaces of polynomials that are discontinuous between elements. We will, in particular, introduce the so-called Discontinuous Galerkin method (DG) and the mortar method. We will carry out this for the Poisson problem first, and then generalize to the case of diffusion and transport problems (see Chapter 12). To maintain the presentation general we will consider a partition of the computational domain into disjoint subdomains that may be either finite or spectral elements.
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsAuthor information
Authors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer-Verlag Italia
About this chapter
Cite this chapter
Quarteroni, A. (2014). Discontinuous element methods (DG and mortar). In: Numerical Models for Differential Problems. MS&A - Modeling, Simulation and Applications, vol 8. Springer, Milano. https://doi.org/10.1007/978-88-470-5522-3_11
Download citation
DOI: https://doi.org/10.1007/978-88-470-5522-3_11
Publisher Name: Springer, Milano
Print ISBN: 978-88-470-5521-6
Online ISBN: 978-88-470-5522-3
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)