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Abstract: We propose and analyze three multilevel iterative solvers of both domain decomposition and multigrid type. All of these methods are algebraic, allowing almost or fully black-box implementation. Their development was motivated by the need to solve large algebraic systems of equations resulting from finite element discretizations of self-adjoint, second order uniformly elliptic problems on unstructured three-dimensional meshes. Two of the methods discussed perform a simple, but effective domain... (Update)
Context of citations to this paper: More
.... is a two level additive Schwarz method [4, 5, 18] Its novel feature is the use of aggregation ideas from algebraic multigrid [1, 22] and balancing Neumann Neumann methods [13 15] to construct the coarse mesh. The use of aggregation arose from necessity. In the...
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BibTeX entry: (Update)
M. BREZINA, Robust Iterative Methods on Unstructured Meshes, PhD thesis, University of Colorado at Denver, Denver, Colorado, 1997. http://citeseer.ist.psu.edu/brezina97robust.html More
@misc{ brezina97robust,
author = "M. BREZINA",
title = "Robust Iterative Methods on Unstructured Meshes",
text = "M. BREZINA, Robust Iterative Methods on Unstructured Meshes, PhD thesis,
University of Colorado at Denver, Denver, Colorado, 1997.",
year = "1997",
url = "citeseer.ist.psu.edu/brezina97robust.html" }
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