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Fix PFASST I/O and pre-initialize coarse preconditioner for Parareal

Jacques Xing requested to merge CFD-Xing/nektar:fix-to-parallel-in-time into master

Issue/feature addressed

For Parareal, the initialization of the preconditioner on the serial-in-time coarse solver cause significant overhead proportional to the number of time step. This MR also fixes an I/O bug with PFASST.

Proposed solution

Artificially run one step on the coarse solver to initialize the preconditioner for Parareal.

Implementation

Tests

Suggested reviewers

Please suggest any people who would be appropriate to review your code.

Notes

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Checklist

  • Functions and classes, or changes to them, are documented.
  • [ ] User guide/documentation is updated.
  • Changelog is updated.
  • [ ] Suitable tests added for new functionality.
  • Contributed code is correctly formatted. (See the contributing guidelines).
  • [ ] License added to any new files.
  • No extraneous files have been added (e.g. compiler output or test data files).
Edited by Jacques Xing

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