A cell functional minimization scheme for domain decomposition method on non-orthogonal and non-matching meshes

作者：Yin Li; Wu Jiming^*; Yao Yanzhong

来源：Numerische Mathematik, 2014, 128(4): 773-804.

DOI：10.1007/s00211-014-0623-3

We are interested in a robust and accurate domain decomposition algorithm with interface conditions of Robin type on non-matching multiblock grids using a cell functional minimization scheme, which has a good performance on non-orthogonal meshes. In order to treat the non-matching grids at the interface, we introduce the projection operator to ensure weak continuity of the primary unknown and of the normal flux across the non-matching interface. Furthermore, we prove the wellposedness of local and global problems and obtain as well an error estimate of first order in a discrete -norm only using the projection operator on the non-matching interface, as done in the matching case. Numerical results are presented in confirmation of the theoretical results.

• 出版日期2014-12
• 单位北京应用物理与计算数学研究所