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Robustness of High-order Divergence-free Finite Element Methods for Incompressible Computational Fluid Dynamics

Philipp W. Schroeder

出版	Georg-August-Universität Göttingen, 2019
URL	http://books.google.com.hk/books?id=TKGD0AEACAAJ&hl=&source=gbs_api

註釋

In computational fluid dynamics, obtaining exactly divergence-free approximations to the incompressible Navier-Stokes equations, by means of finite element methods, has actually not been particularly popular in the last decade. This observation is in contrast to the fact that H(div)-conforming finite elements indeed facilitate the flexible construction of such methods in most diverse applications. In this context, from the methodical side, Discontinuous Galerkin (DG) methods play a key role and, from the computational point of view, the concept of hybridisation can and is exploited heavily....