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THE DERIVATION OF HYBRIDIZABLE DISCONTINUOUS GALERKIN METHODS FOR STOKES FLOW

机译:斯托克斯流的可混合不连续Galerkin方法的推导

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摘要

In this paper, we introduce a new class of discontinuous Galerkin methods for the Stokes equations. The main feature of these methods is that they can be implemented in an efficient way through a hybridization procedure which reduces the globally coupled unknowns to certain approximations on the element boundaries. We present four ways of hybridizing the methods, which differ by the choice of the globally coupled unknowns. Classical methods for the Stokes equations can be thought of as limiting cases of these new methods.
机译:在本文中,我们为Stokes方程引入了一类新的不连续Galerkin方法。这些方法的主要特点是可以通过混合过程以有效方式实现,该过程将全局耦合的未知数减少为元素边界上的某些近似值。我们提出了四种方法的混合方法,这些方法因选择全局耦合的未知数而有所不同。可以将Stokes方程的经典方法视为这些新方法的极限情况。

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