We establish an error estimate for fully discrete time-space gradient schemes on a simple linear parabolic equation. This error estimate holds for all the schemes within the framework of the gradient discretisation method: conforming and non conforming finite element, mixed finite element, hybrid mixed mimetic family, some Multi-Point Flux approximation finite volume scheme and some discontinuous Galerkin schemes.
CITATION STYLE
Droniou, J., Eymard, R., Gallouët, T., Guichard, C., & Herbin, R. (2017). An error estimate for the approximation of linear parabolic equations by the gradient discretization method. In Springer Proceedings in Mathematics and Statistics (Vol. 199, pp. 371–379). Springer New York LLC. https://doi.org/10.1007/978-3-319-57397-7_30
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