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Published in:
2021 | OriginalPaper | Chapter
8. The Finite Volume Method
Authors : Peter Knabner, Lutz Angermann
Published in: Numerical Methods for Elliptic and Parabolic Partial Differential Equations
Publisher: Springer International Publishing
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Abstract
Over the last decades, finite volume methods (FVMs) have enjoyed great popularity in various fields of computational mathematics (for example, in computational aerodynamics, fluid mechanics, solid-state physics, semiconductor device modelling...). In comparison with the standard discretization tools, namely finite element methods and finite difference methods, FVMs are occupying, in some sense, an intermediate position. Actually, treatments in the context of generalized finite difference methods as well as the finite element approach can be found in the literature.