Hidden Bibliographic Details
Other authors / contributors: | Droniou, Jérôme, author.
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ISBN: | 9783319790428 3319790420 9783319790411 3319790412
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Digital file characteristics: | text file PDF
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Notes: | Includes bibliographical references and index. Print version record.
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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.
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Other form: | Print version: Gradient discretisation method. Cham : Springer, 2018 3319790412 9783319790411
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Standard no.: | 10.1007/978-3-319-79042-8
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