A multi-level spectral deferred correction method
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| 001 | 605496951 | ||
| 003 | CHVBK | ||
| 005 | 20210128100539.0 | ||
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| 008 | 210128e20150901xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10543-014-0517-x |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10543-014-0517-x | ||
| 245 | 0 | 2 | |a A multi-level spectral deferred correction method |h [Elektronische Daten] |c [Robert Speck, Daniel Ruprecht, Matthew Emmett, Michael Minion, Matthias Bolten, Rolf Krause] |
| 520 | 3 | |a The spectral deferred correction (SDC) method is an iterative scheme for computing a higher-order collocation solution to an ODE by performing a series of correction sweeps using a low-order timestepping method. This paper examines a variation of SDC for the temporal integration of PDEs called multi-level spectral deferred corrections (MLSDC), where sweeps are performed on a hierarchy of levels and an FAS correction term, as in nonlinear multigrid methods, couples solutions on different levels. Three different strategies to reduce the computational cost of correction sweeps on the coarser levels are examined: reducing the degrees of freedom, reducing the order of the spatial discretization, and reducing the accuracy when solving linear systems arising in implicit temporal integration. Several numerical examples demonstrate the effect of multi-level coarsening on the convergence and cost of SDC integration. In particular, MLSDC can provide significant savings in compute time compared to SDC for a three-dimensional problem. | |
| 540 | |a Springer Science+Business Media Dordrecht, 2014 | ||
| 690 | 7 | |a Spectral deferred corrections |2 nationallicence | |
| 690 | 7 | |a Multi-level spectral deferred corrections |2 nationallicence | |
| 690 | 7 | |a FAS correction |2 nationallicence | |
| 690 | 7 | |a PFASST |2 nationallicence | |
| 700 | 1 | |a Speck |D Robert |u Jülich Supercomputing Centre, Forschungszentrum Jülich, Jülich, Germany |4 aut | |
| 700 | 1 | |a Ruprecht |D Daniel |u Institute of Computational Science, Università della Svizzera italiana, Lugano, Switzerland |4 aut | |
| 700 | 1 | |a Emmett |D Matthew |u Center for Computational Sciences and Engineering, Lawrence Berkeley National Laboratory, Berkeley, USA |4 aut | |
| 700 | 1 | |a Minion |D Michael |u Institute for Computational and Mathematical Engineering, Stanford University, Stanford, USA |4 aut | |
| 700 | 1 | |a Bolten |D Matthias |u Department of Mathematics and Science, University of Wuppertal, 42097, Wuppertal, Germany |4 aut | |
| 700 | 1 | |a Krause |D Rolf |u Institute of Computational Science, Università della Svizzera italiana, Lugano, Switzerland |4 aut | |
| 773 | 0 | |t BIT Numerical Mathematics |d Springer Netherlands |g 55/3(2015-09-01), 843-867 |x 0006-3835 |q 55:3<843 |1 2015 |2 55 |o 10543 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10543-014-0517-x |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10543-014-0517-x |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Speck |D Robert |u Jülich Supercomputing Centre, Forschungszentrum Jülich, Jülich, Germany |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Ruprecht |D Daniel |u Institute of Computational Science, Università della Svizzera italiana, Lugano, Switzerland |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Emmett |D Matthew |u Center for Computational Sciences and Engineering, Lawrence Berkeley National Laboratory, Berkeley, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Minion |D Michael |u Institute for Computational and Mathematical Engineering, Stanford University, Stanford, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Bolten |D Matthias |u Department of Mathematics and Science, University of Wuppertal, 42097, Wuppertal, Germany |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Krause |D Rolf |u Institute of Computational Science, Università della Svizzera italiana, Lugano, Switzerland |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t BIT Numerical Mathematics |d Springer Netherlands |g 55/3(2015-09-01), 843-867 |x 0006-3835 |q 55:3<843 |1 2015 |2 55 |o 10543 | ||