A Multiscale Discontinuous Galerkin Method
A Multiscale Discontinuous Galerkin Method
复制标题
多尺度间断伽辽金法
DOI：
10.1007/11666806_8
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发表时间：
2005
期刊：
影响因子：
--
通讯作者：
G. Scovazzi
中科院分区：
文献类型：
--
作者：
P. Bochev;T. Hughes;G. Scovazzi
基于变分多尺度思想，提出了一类新的间断Galerkin（DG）方法.我们的方法开始添加剂分解的不连续有限元空间连续（粗）和不连续（细）组件。变分多尺度分析被用来定义一个尺度间传递算子，该算子将粗尺度函数和细尺度函数相关联。该运营商与捐助DG方法的组合物产生一个新的制剂，结合DG方法的优点与连续Galerkin方法的吸引力和更有效的计算结构。一类新的DG方法的标量对流扩散问题的说明。
We propose a new class of Discontinuous Galerkin (DG) methods based on variational multiscale ideas. Our approach begins with an additive decomposition of the discontinuous finite element space into continuous (coarse) and discontinuous (fine) components. Variational multiscale analysis is used to define an interscale transfer operator that associates coarse and fine scale functions. Composition of this operator with a donor DG method yields a new formulation that combines the advantages of DG methods with the attractive and more efficient computational structure of a continuous Galerkin method. The new class of DG methods is illustrated for a scalar advection-diffusion problem.