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Multigrid Methods on Adaptively Refined Grids
November/December 2006 (vol. 8 no. 6)
pp. 44-54
Peter Bastian, University of Stuttgart
Christian Wieners, University of Karlsruhe
Using multigrid solvers in the adaptive finite element method yields a powerful tool for solving large-scale partial differential equations that exhibit localized features such as singularities or shocks. In addition to describing the basic method and related theory, this article numerically demonstrates the method's performance and utility on 2D and 3D problems.
Index Terms:
elliptic partial differential equations, finite element method, multigrid method, adaptive mesh refinement
Citation:
Peter Bastian, Christian Wieners, "Multigrid Methods on Adaptively Refined Grids," Computing in Science and Engineering, vol. 8, no. 6, pp. 44-54, Nov.-Dec. 2006, doi:10.1109/MCSE.2006.116
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