To solve PDE problems with different time scales that are localized in space, multirate time integration is examined. This technique enables one to use large time steps for slowly time-varying spatial regions, and small steps for rapidly varying ones. Multirate time stepping is coupled with the local uniform grid refinement and provides a robust and efficient method for the target problem class. We primarily consider implicit time stepping methods, suitable for parabolic problems. Numerical results are presented for a test problem.
|Title of host publication||Numerical Analysis and Applied Mathematics (International Conference, Psalidi (Kos), Greece, September 16-20, 2008)|
|Editors||T.E. Simos, G. Psihoyios, C. Tsitouras|
|Publisher||American Institute of Physics|
|Publication status||Published - 2008|
|Name||AIP Conference Proceedings|