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020 _a9783319790411
040 _aNISER LIBRARY
_beng
_cNISER LIBRARY
082 0 4 _a519.6
_bDRO-G
245 1 0 _aGradient discretisation method
260 _aCham :
_bSpringer,
_c2018.
300 _axxiv, 497 pages :
_b19 b/w illustrations, 14 illustrations in colour
490 0 _aMathématiques et applications,
_x1154-483X ;
_v82
504 _aIncludes bibliographical references and index
520 _aThis 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.
650 0 _aDiscretization (Mathematics)
650 0 _aComputer mathematics
650 0 _aElliptic partial differential equations
650 0 _aGradient discretisation method
650 0 _aParabolic partial differential equations
650 0 _aGradient schemes
650 0 _aDiscrete Aubin-Simon compactness theorems
700 1 _aDroniou, Jérôme
700 1 _aEymard, Robert
700 1 _aGallouët, Thierry
700 1 _aGuichard, Cindy
700 1 _aHerbin, Raphaèle
856 _3Table of content
_uhttps://link.springer.com/content/pdf/bfm:978-3-319-79042-8/1
856 _3Reviews
_uhttps://www.goodreads.com/book/show/95432726-the-gradient-discretisation-method?ref=nav_sb_ss_1_13#CommunityReviews
942 _2udc
_cBK
999 _c35775
_d35775