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Cell-centred Multigrid revisited

Mohr, M., and R. Wienands (2004), Cell-centred Multigrid revisited, Computing and Visualization in Science, 7(3–4), 129–140, doi:10.1007/s00791-004-0137-0.

In this paper we treat the cell-centred multigrid approach, which distinguishes itself from the classical vertex-centred 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.
  author = {M. Mohr and R. Wienands},
  journal = {Computing and Visualization in Science},
  number = {3{--}4},
  pages = {129{--}140},
  title = {{Cell-centred Multigrid revisited}},
  volume = {7},
  year = {2004},
  language = {en},
  doi = {10.1007/s00791-004-0137-0},
%0 Journal Article
%A Mohr, M.
%A Wienands, R.
%D 2004
%N 3–4
%V 7
%J Computing and Visualization in Science
%P 129–140
%T Cell-centred Multigrid revisited
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