Journal of the Korean Mathematical Society (대한수학회지)
- Volume 32 Issue 1
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- Pages.7-15
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- 1995
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- 0304-9914(pISSN)
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- 2234-3008(eISSN)
Reduction factor of multigrid iterations for elliptic problems
- Kwak, Do-Y. (Department of Mathematics Korea Advanced Institute of Science and Technology)
- Published : 1995.02.01
Abstract
Multigrid method has been used widely to solve elliptic problems because of its applicability to many class of problems and fast convergence ([1], [3], [9], [10], [11], [12]). The estimate of convergence rate of multigrid is one of the main objectives of the multigrid analysis ([1], [2], [5], [6], [7], [8]). In many problems, the convergence rate depends on the regularity of the solutions([5], [6], [8]). In this paper, we present an improved estimate of reduction factor of multigrid iteration based on the proof in [6].