Abstract
The augmented strategies for interface problems and problems defined on irregular domains are reviewed in this paper. There are at least two reasons to use augmented strategies. The first one is to get faster algorithms, particularly, to take advantages of existing fast solvers. The second reason is that, for some interface problems, an augmented approach may be the only way to derive an accurate algorithm. Using an augmented approach, one or several quantities of co-dimension one are introduced. The GMRES iterative method is often used to solve the augmented variable(s) that are only defined along the interface or the irregular boundary. Several examples of augmented methods are provided in this paper.
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Li, Z. (2005). Augmented Strategies for Interface and Irregular Domain Problems. In: Li, Z., Vulkov, L., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2004. Lecture Notes in Computer Science, vol 3401. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31852-1_7
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