We show that three classical examples of schemes for the approximation of linear elliptic problems can be cast in a common framework, called the gradient discretisation method (GDM). An error estimate is then obtained by the extension to this framework of the second Strang lemma, which is completed by a second inequality showing that the conditions which are sufficient for the convergence of the method are also necessary.
CITATION STYLE
Droniou, J., Eymard, R., Gallouët, T., Guichard, C., & Herbin, R. (2019). An introduction to the gradient discretisation method. In Lecture Notes in Computational Science and Engineering (Vol. 126, pp. 451–459). Springer Verlag. https://doi.org/10.1007/978-3-319-96415-7_40
Mendeley helps you to discover research relevant for your work.