Multilevel Methods on Unstructured Grids (1999)
BibTeX
@MISC{Go99multilevelmethods,
author = {Susie Go and Christopher Anderson and Bjorn Engquist and Xiaolin Zhong and Tony F. Chan and Committee Chair},
title = {Multilevel Methods on Unstructured Grids},
year = {1999}
}
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Abstract
OF THE DISSERTATION Multilevel Methods on Unstructured Grids by Susie Go Doctor of Philosophy in Mathematics University of California, Los Angeles, 1999 Professor Tony F. Chan, Chair The construction and performance of multilevel methods, including multigrid and domain decomposition methods, applied to elliptic problems on general unstructured grids will be studied. The difficulty in using unstructured grids with multilevel methods stems from the need to find a hierarchy of grids, which is not readily available for unstructured grids. The problems of non-nested spaces and non-matching domain boundaries which arise in the coarsening of unstructured grids for multilevel methods will be discussed, and some analysis and computational approaches will be provided for the construction of unstructured methods which can achieve multigrid convergence rates. In particular, several different interpolants used in the coarse-to-fine transfer xiii of information between levels are constructed and s...
