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Drawing inspiration from a former spectral analysis, we propose for the resulting space-time linear system a multigrid preconditioned GMRES method, which combines a preconditioned GMRES with a standard multigrid acting only in space. The performance of the proposed solver is illustrated through numerical experiments, which show its competitiveness in terms of iteration count, run-time and parallel scaling.<\/jats:p>","DOI":"10.1007\/s10915-021-01567-z","type":"journal-article","created":{"date-parts":[[2021,9,1]],"date-time":"2021-09-01T08:03:57Z","timestamp":1630483437000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Fast Parallel Solver for the Space-time IgA-DG Discretization of the Diffusion Equation"],"prefix":"10.1007","volume":"89","author":[{"given":"Pietro","family":"Benedusi","sequence":"first","affiliation":[]},{"given":"Paola","family":"Ferrari","sequence":"additional","affiliation":[]},{"given":"Carlo","family":"Garoni","sequence":"additional","affiliation":[]},{"given":"Rolf","family":"Krause","sequence":"additional","affiliation":[]},{"given":"Stefano","family":"Serra-Capizzano","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,9,1]]},"reference":[{"key":"1567_CR1","doi-asserted-by":"publisher","first-page":"3247","DOI":"10.1016\/j.cma.2005.06.013","volume":"195","author":"R Abedi","year":"2006","unstructured":"Abedi, R., Petracovici, B., Haber, R.B.: A space-time discontinuous Galerkin method for linearized elastodynamics with element-wise momentum balance. 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