Summary
In this paper we discuss the numerical treatment of parabolic problems by multi-grid methods under the aspect of parallelisation. Reflecting the concept to treat the time and space variables independently, the time-parallel multi-grid method is combined with a space-parallel multi-grid method. The space-parallel multi-grid method could be interpreted as a global multi-grid with a special domain decomposition smoother. The smoother requires approximations for the SCHUR complement. This question leads to the discussion of filtering techniques in a more general situation. Adaptivity in time is achieved by using extrapolation techniques which offers a third source of parallelism in addition to the time and space parallelism.
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© 1996 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden
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Burmeister, J., Hackbusch, W. (1996). On a Time and Space Parallel Multi-Grid Method Including Remarks on Filtering Techniques. In: Hirschel, E.H. (eds) Flow Simulation with High-Performance Computers II. Notes on Numerical Fluid Mechanics (NNFM), vol 48. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-89849-4_2
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DOI: https://doi.org/10.1007/978-3-322-89849-4_2
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