The Gradient Discretisation Method
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The Gradient Discretisation Method
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Description
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.
Product details
- Type:
- Book
- Binding:
- Paperback
- Edition:
- 1
- Languages:
-
Original:
English
- Number of Pages:
-
524
- Publisher:
-
Springer
- Publication Date:
-
2018-08-11
- ISBN / EAN:
-
9783319790411
- Weight:
-
785 g
- Dimensions:
-
16/24/3 cm
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