The Priority Programme “Software for Exascale Computing” (SPPEXA) of the Deutsche Forschungsgemeinschaft (DFG) addresses fundamental research on the various aspects of HPC software, which is particularly urgent against the background that we are currently entering the era of ubiquitous massive parallelism.

“ExaSolvers” is a project within SPPEXA, concerned with the development of solvers for coupled problems that can be used efficiently in extreme-scale simulations. The benchmark problem of the project is the numerical simulation of permeation of human skin, an application that is of great interest for example for the development of pharmaceuticals [1], [2]. Through the lead agency agreement between, SNSF is funding a subproject within ExaSolvers at ICS Lugano SNSF-145271, which, in the framework of the project, addresses the development of efficient time-parallel solvers and their application to heterogeneous diffusion problems on complex domains.

  1. A. Kreienbuehl, A. Naegel, D. Ruprecht, R. Speck, G. Wittum, and R. Krause, “Numerical simulation of skin transport using Parareal,” Computing and Visualization in Science, vol. 17, no. 2, pp. 99–108, 2015 [Online]. Available at: http://dx.doi.org/10.1007/s00791-015-0246-y
    @article{KreienbuehlEtAl2015,
      author = {Kreienbuehl, Andreas and Naegel, Arne and Ruprecht, Daniel and Speck, Robert and Wittum, Gabriel and Krause, Rolf},
      issue = {2},
      journal = {Computing and Visualization in Science},
      pages = {99--108},
      title = {{Numerical simulation of skin transport using Parareal}},
      url = {http://dx.doi.org/10.1007/s00791-015-0246-y},
      volume = {17},
      year = {2015}
    }
    
  2. D. Ruprecht, R. Speck, and R. Krause, “Parareal for Diffusion Problems with Space- and Time-Dependent Coefficients,” in Domain Decomposition Methods in Science and Engineering XXII, 2016, pp. 371–378 [Online]. Available at: http://dx.doi.org/10.1007/978-3-319-18827-0_37
    @inproceedings{RuprechtEtAl2016,
      author = {Ruprecht, Daniel and Speck, Robert and Krause, Rolf},
      booktitle = {Domain Decomposition Methods in Science and Engineering {XXII}},
      doi = {10.1007/978-3-319-18827-0_37},
      editor = {Dickopf, Thomas and Gander, J. Martin and Halpern, Laurence and Krause, Rolf and Pavarino, F. Luca},
      pages = {371--378},
      publisher = {Springer International Publishing},
      url = {http://dx.doi.org/10.1007/978-3-319-18827-0_37},
      title = {Parareal for Diffusion Problems with Space- and Time-Dependent Coefficients},
      year = {2016}
    }