Krylov-subspace acceleration of time periodic waveform relaxation
Conference
·
OSTI ID:219573
- Univ. of Notre Dame, IN (United States)
In this paper the author uses Krylov-subspace techniques to accelerate the convergence of waveform relaxation applied to solving systems of first order time periodic ordinary differential equations. He considers the problem in the frequency domain and presents frequency dependent waveform GMRES (FDWGMRES), a member of a new class of frequency dependent Krylov-subspace techniques. FDWGMRES exhibits many desirable properties, including finite termination independent of the number of timesteps and, for certain problems, a convergence rate which is bounded from above by the convergence rate of GMRES applied to the static matrix problem corresponding to the linear time-invariant ODE.
- Research Organization:
- Front Range Scientific Computations, Inc., Boulder, CO (United States); USDOE, Washington, DC (United States); National Science Foundation, Washington, DC (United States)
- OSTI ID:
- 219573
- Report Number(s):
- CONF-9404305--Vol.2; ON: DE96005736; CNN: Grant CCR92-09815
- Country of Publication:
- United States
- Language:
- English
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