Space-time Multigrid (STMG)

The space-time multigrid method [1] treats the whole of the space-time problem simultaneously. The multigrid approach uses point smoothers and employs a parameter-dependent coarsening strategy that chooses either semicoarsening in space or in time on each level of the multigrid hierarchy.

1. HortonVandewalle1995

   G. Horton and S. Vandewalle, “A Space-Time Multigrid Method for Parabolic Partial Differential Equations,” SIAM Journal on Scientific Computing, vol. 16, no. 4, pp. 848–864, 1995, doi: 10.1137/0916050. [Online]. Available at: http://dx.doi.org/10.1137/0916050

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   Abstract

   BibTeX entry HortonVandewalle1995

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   @article{HortonVandewalle1995,
     author = {Horton, Graham and Vandewalle, Stefan},
     doi = {10.1137/0916050},
     journal = {SIAM Journal on Scientific Computing},
     number = {4},
     pages = {848--864},
     title = {{A Space-Time Multigrid Method for Parabolic Partial Differential Equations}},
     url = {http://dx.doi.org/10.1137/0916050},
     volume = {16},
     year = {1995}
   }