文章基本信息

标题：A Chimera Method Based on Dirichlet-Dirichlet Coupling and Pasting Penalization Operators
本地全文：下载
作者：Bruno Storti ; Luciano Garelli ; Mario Storti 等
期刊名称：Mecánica Computacional
印刷版ISSN：2591-3522
出版年度：2016
卷号：34
期号：45
页码：3161-3175
语种：English
出版社：CIMEC-INTEC-CONICET-UNL
其他摘要：A chimera method for pasting different meshes in the context of the ﬁnite element method is presented. The method is based both on transferring the solution on one mesh to the boundary of the other via Dirichlet boundary conditions and interpolation, and also with a penalization "pasting" operator. One of the advantages of the proposed method is that no changes in topology arise during the computations. The second advantage is that the solution can be obtained iteratively with a convergence rate that is similar to that one for an equivalent non-chimera mesh, and the matrix-vector operator can be computed by completely decouple operations on both meshes. For symmetric positive-deﬁnite operators the resulting system is not symmetric positive-deﬁnite, however the solution can be obtained with biconjugate gradient stabilized method, so the memory requirement is almost the same as for the conjugate gradient method, which could be used for an equivalent non-chimera mesh. Several examples are presented assessing the precision and computational cost of the method.