000 | 02149nam a22003617a 4500 | ||
---|---|---|---|
003 | OSt | ||
005 | 20250225120101.0 | ||
008 | 250225b |||||||| |||| 00| 0 hin d | ||
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 |