Abstract
So far we have only discussed the implementation of continuous Galerkin (CG) and discontinuous Galerkin (DG) methods in one dimension. We have done so for the advection and diffusion equations, and by extension the advection-diffusion equation. In addition, in Ch. 7 we discussed the application of both methods for systems of nonlinear equations in one dimension. In this chapter we now extend the ideas that we have learned so far in one dimension and extend it to two dimensions where we focus on the discretization of elliptic equations using the CG method. In what follows, we shall use the global gridpoint (GPP) storage. In Ch. 14 we describe the local element-wise (LEW) storage.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2020 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Giraldo, F.X. (2020). 2D Continuous Galerkin Methods for Elliptic Equations. In: An Introduction to Element-Based Galerkin Methods on Tensor-Product Bases. Texts in Computational Science and Engineering, vol 24. Springer, Cham. https://doi.org/10.1007/978-3-030-55069-1_12
Download citation
DOI: https://doi.org/10.1007/978-3-030-55069-1_12
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-55068-4
Online ISBN: 978-3-030-55069-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)