Article ID Journal Published Year Pages File Type
500146 Computer Methods in Applied Mechanics and Engineering 2006 15 Pages PDF
Abstract

We reconsider the numerical solution of linear(ized) advection–diffusion–reaction problems using higher-order finite elements together with stabilized Galerkin methods of streamline-diffusion type (SUPG) and with shock-capturing stabilization. The analysis improves the a priori analysis in our previous paper [T. Knopp, G. Lube, G. Rapin, Stabilized finite element methods with shock capturing for advection–diffusion problems, Comput. Methods Appl. Mech. Engrg. 191 (2002) 2997–3013]. The theoretical results are supported by some numerical experiments.

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Physical Sciences and Engineering Computer Science Computer Science Applications
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