Please use this identifier to cite or link to this item:
http://hdl.handle.net/1942/36686
Title: | Error Estimates for the Gradient Discretisation Method on Degenerate Parabolic Equations of Porous Medium Type | Authors: | Cancès, Clément Droniou, Jérôme Guichard, Cindy Manzini, Gianmarco BASTIDAS OLIVARES, Manuela POP, Sorin |
Issue Date: | 2021 | Publisher: | Springer | Source: | Di Pietro, Daniele; Formaggia , Luca; Masson, Roland (Ed.). Polyhedral Methods in Geosciences, Springer, p. 37 -72 | Series/Report: | SEMA SIMAI Springer Series | Series/Report no.: | 27 | Abstract: | The gradient discretisation method (GDM) is a generic framework for the spatial discretisation of partial differential equations. The goal of this contribution is to establish an error estimate for a class of degenerate parabolic problems, obtained under very mild regularity assumptions on the exact solution. Our study covers well-known models like the porous medium equation and the fast diffusion equations, as well as the strongly degenerate Stefan problem. Several schemes are then compared in a last section devoted to numerical results. | Keywords: | Gradient discretisation method;Porous medium equation;Slow diffusion;Fast diffusion;Error estimates;Numerical tests;Hybrid mimetic mixed method;Virtual element method;Vertex approximate gradient method;Discontinuous Galerkin method;Polytopal methods | Document URI: | http://hdl.handle.net/1942/36686 | ISBN: | 9783030693626 9783030693633 |
DOI: | 10.1007/978-3-030-69363-3_2 | Category: | B2 | Type: | Book Section | Validations: | vabb 2024 |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Chapter_ErrorEstimatesGDM.pdf Restricted Access | Published version | 1.16 MB | Adobe PDF | View/Open Request a copy |
Page view(s)
36
checked on Sep 6, 2022
Download(s)
6
checked on Sep 6, 2022
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.