The gradient discretisation method /

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Bibliographic Details
Imprint:Cham : Springer, 2018.
Description:1 online resource
Language:English
Series:Mathématiques et applications ; 82
Mathématiques & applications ; 82.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11679086
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Other authors / contributors:Droniou, Jérôme, author.
ISBN:9783319790428
3319790420
9783319790411
3319790412
Digital file characteristics:text file PDF
Notes:Includes bibliographical references and index.
Print version record.
Summary: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.
Other form:Print version: Gradient discretisation method. Cham : Springer, 2018 3319790412 9783319790411
Standard no.:10.1007/978-3-319-79042-8