EAN: 9783319790411

Bilder-Quelle: discount24.de - Sport-Freizeit

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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