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Petrov—Galerkin method for multidimensional, time-dependent, convective-diffusion equations

✍ Scribed by C.-C. Yu; J. C. Heinrich


Publisher
John Wiley and Sons
Year
1987
Tongue
English
Weight
859 KB
Volume
24
Category
Article
ISSN
0029-5981

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Accurate Petrov-Galerkin methods for tra
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The Petrov-Galerkin method is applied to transient convective diffusion problems with convection dominance. Weighting functions are used which differ from the shape functions by both symmetric and non-symmetric modifications. It is proved that the symmetric modifications largely influence the accura

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A multilevel Petrov-Galerkin (PG) finite element method to accurately solve the one-dimensional convection-diffusion equation is presented. In this method, the weight functions are different from the basis functions and they are calculated from simple algebraic recursion relations. The basis for the

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## Abstract In this work, a stable Petrov–Galerkin formulation is combined with an __hp__‐adaptive refinement strategy. The stability engendered by this formulation allows the use of high interpolation element order in regions with steep gradients. The new __hp__‐adaptive strategy, originally propo