Barry Smith <[email protected]> writes: >> I don't see how any of the present interfaces work for waveform >> relaxation. I also think that is rarely a desirable technique -- too >> many awkward limitations. My recollection is that Borzi only uses it >> for parabolic problems, for which adaptivity would have given much >> faster/cheaper solutions of equivalent accuracy. The techniques are >> theoretically interesting, but have not demonstrated sufficient >> practicality to worry about. Someone doing research on these full-space >> methods can just discretize space-time using SNES. > > Yes, but since that is a huge involved process (they need to manage > time discretization etc themselves) they will NEVER compare with > reduced methods and that is a huge part of the problem.
Waveform relaxation and related methods intimately couples the temporal discretization with the spatial discretization. It's a "transposed" interface. > People do "research" in one or the other approach and never compare > the two, leading to bad research. If we can combine them then one > can actually compare the two approaches. > > Barry > > I'm not saying it is possible to have a nice API that combines them. If we don't know how to combine them in a nice API and one is very important/practical while the other is research of questionable practicality, I'd rather focus on making the important thing work well rather than constantly hedging to possibly include the questionable thing.
