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Comparative study on domain decomposition methods for solving multi-domain potential problems by DiBFM
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DOI：10.1016/j.enganabound.2024.01.011.png)
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摘要
En 中文
Domain decomposition method (DDM) is an efficient tool for solving multi-domain problems. Many kinds of DDM have been proposed in literature, such as the D-N alternating method and optimized Schwarz method, etc. The main difference between these methods lies in the transmission conditions on the interfaces between subdomains. Most DDMs have at least one relaxation parameter which must be properly chosen to ensure convergence. To avoid prior determination of a constant relaxation parameter, dynamic relaxation parameters are devised based on error analysis. Another, difficulty of DDM is that special preprocessor has to be used to handle cases where interior cross-points exist among the domains. In dual interpolation boundary face method (DiBFM), boundary integral equation (BIE) is collocated on nodes inside elements, therefore naturally avoids the interior cross-points problem. In this paper, we have implemented some main kinds of DDM in the frame of DiBFM and conducted comparative studies accounting for different interface conditions and relaxation parameters, using examples that involve different topological connections between subdomains.
Keyword:
Non -overlapping domain decomposition
methods
DiBFM
Multi -domain problems
期刊
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4.1
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5.9K
被引数:
9.4K
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