Cell-centred Multigrid Revisited

Mohr M, Roman W (2004)

Publication Type: Journal article

Publication year: 2004


Publisher: Springer Verlag

Book Volume: 7

Pages Range: 129-140

Journal Issue: 3/4

URI: http://link.springer.com/article/10.1007/s00791-004-0137-0#page-1

DOI: 10.1007/s00791-004-0137-0


In this paper we treat the cell-centred multigrid approach, which distinguishes itself from the classical vertexcentred multigrid by a non-nested hierarchy of grid nodes and the use of constant, problem-independent transfer operators even in complicated situations. We demonstrate, that the tool of Local Fourier Analysis can also be profitably applied in this setting. We consider in detail the standard transfer operators from literature and their respective polynomial and Fourier orders, paying special attention to the combination of piecewise constant interpolation and its adjoint. Furthermore, we give several numerical examples for model problems and an application from biomedical engineering. © Springer-Verlag 2004.

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Mohr, M., & Roman, W. (2004). Cell-centred Multigrid Revisited. Computing and Visualization in Science, 7(3/4), 129-140. https://dx.doi.org/10.1007/s00791-004-0137-0


Mohr, Marcus, and Wienands Roman. "Cell-centred Multigrid Revisited." Computing and Visualization in Science 7.3/4 (2004): 129-140.

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