Space and Time Parallel Multigrid for Optimization and Uncertainty Quantification in PDE Simulations

Author:

Grasedyck Lars,Löbbert Christian,Wittum Gabriel,Nägel Arne,Schulz Volker,Siebenborn Martin,Krause Rolf,Benedusi Pietro,Küster Uwe,Dick Björn

Publisher

Springer International Publishing

Reference29 articles.

1. Ballani, J., Grasedyck, L.: Hierarchical tensor approximation of output quantities of parameter-dependent PDEs. SIAM/ASA J. Uncertain. Quantif. 3 (1), 852–872 (2015)

2. Bastian, P., Wittum, G.: Robustness and adaptivity: the UG concept. In: Hemker, P., Wesseling, P. (eds.) Multigrid Methods IV, Proceedings of the Fourth European Multigrid Conference. Birkhäuser, Basel (1994)

3. Benedusi, P., Hupp, D., Arbenz, P., Krause, R.: A parallel multigrid solver for time-periodic incompressible Navier–Stokes equations in 3d. In: Karasözen, B., Manguoglu, M., Tezer-Sezgin, M., Göktepe, S., Ugur, Ö. (eds.) Numerical Mathematics and Advanced Applications – ENUMATH 2015. Springer, Ankara (2016)

4. Corporation, I.: Enhanced Intel®; SpeedStep®; Technology for the Intel®; Pentium®; M Processor. White Paper (2004). http://download.intel.com/design/network/papers/30117401.pdf

5. Dahmen, W., DeVore, R., Grasedyck, L., Süli, E.: Tensor-sparsity of solutions to high-dimensional elliptic partial differential equations. Found. Comput. Math. 1–62 (2015). http://dx.doi.org/10.1007/s10208-015-9265-9

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