Standard approaches to domain decomposition methods (DDM) are uncapable of producing block-diagonal system matrices. The derived-vector-space (DVS), approach to DDM, introduced in 2013, overcomes this limitation. However, the DVS approach in its original form was applicable to a relatively narrow class of problems because it required building a special matrix, whose construction is frequently impossible. In this paper, an enhanced formulation of DVS is presented, which does not require the construction of a special matrix and is applicable to any linear problem. Keywords: domain decomposition, parallel processing, DVS, FETI, BDDC
翻译:对域分解方法的标准方法(DDM)无法产生成块对角系统矩阵。2013年开始采用的衍生矢量-空间(DVS)对DDM(DDM)的方法克服了这一限制,然而,最初形式的DVS方法适用于相对狭窄的一类问题,因为它需要建立一个特别的矩阵,而这种矩阵的构建往往是不可能的。本文介绍了DVS的强化配方,这不需要构建一个特殊的矩阵,而是适用于任何线性问题。关键词:域分解、平行处理、DVS、FETI、BDDC。关键词:域分解、DDDC。