Abstract
This chapter covers two unrelated topics on HHO methods for linear diffusion problems: an a posteriori error analysis for the Poisson problem and the extension of the HHO method to the case of a diffusion tensor that varies inside each element. These topics build up on Chaps. 1 and 2, and can be used in a short introductory course to present more advanced notions on HHO.
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Notes
- 1.
The authors are grateful to Lorenzo Botti and Alessandro Colombo (Università di Bergamo) for providing this modified version of MGridGen.
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Di Pietro, D.A., Droniou, J. (2020). Complements on Pure Diffusion. In: The Hybrid High-Order Method for Polytopal Meshes. MS&A, vol 19. Springer, Cham. https://doi.org/10.1007/978-3-030-37203-3_4
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