TY  - BOOK
AU  - Droniou,Jérôme
AU  - Eymard,Robert
AU  - Gallouët,Thierry
AU  - Guichard,Cindy
AU  - Herbin,Raphaèle
TI  - Gradient discretisation method
T2  - Mathématiques et applications,
SN  - 9783319790411
U1  - 519.6 
PY  - 2018///
CY  - Cham
PB  - Springer
KW  - Discretization (Mathematics)
KW  - Computer mathematics
KW  - Elliptic partial differential equations
KW  - Gradient discretisation method
KW  - Parabolic partial differential equations
KW  - Gradient schemes
KW  - Discrete Aubin-Simon compactness theorems
N1  - Includes bibliographical references and index
N2  - This monograph presents  the Gradient Discretisation Method (GDM), which is a unified convergence analysis framework for numerical methods for elliptic and parabolic partial differential equations. The results obtained by the GDM cover both stationary and transient models; error estimates are provided for linear (and some non-linear) equations, and convergence is established for a wide range of fully non-linear models (e.g. Leray–Lions equations and degenerate parabolic equations such as the Stefan or Richards models). The GDM applies to a diverse range of methods, both classical (conforming, non-conforming, mixed finite elements, discontinuous Galerkin) and modern (mimetic finite differences, hybrid and mixed finite volume, MPFA-O finite volume), some of which can be built on very general meshes
UR  - https://link.springer.com/content/pdf/bfm:978-3-319-79042-8/1
UR  - https://www.goodreads.com/book/show/95432726-the-gradient-discretisation-method?ref=nav_sb_ss_1_13#CommunityReviews
ER  -