It seems there are few papers on total failure of Generalized Continuum Hypothesis.


As an example Merimovich in 2007 constructed a model of ZFC such that GCH fails everywhere assuming consistency of ZFC and strong cardinals.



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> My question is that how many essentially different methods are known for forcing total failure of GCH? 
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Any reference to a paper on the subject is also welcome. 



Different Methods for Forcing Total Failure of Generalized Continuum Hypothesis
To my knowledge, there are at least three published methods for killing the 
$GCH$ everywhere:


1) forcing with supercompact Radin forcing (by Foreman-Woodin) . In fact Foreman and Woodin introduced an intermediate submodel of the supercompact Radin forcing in which the $GCH$ fails everywhere. They used a supercompact cardinal with infinitely many inaccessibles above it.


2) forcing with ordinary Radin forcing using guiding generics. See for example Cummings paper "A model in which $GCH$ holds at successors but fails at limits". The proof uses a strong cardinal (in fact a ($\kappa+3)-$strong cardinal $\kappa$ is sufficient)


3) forcing with extender based Radin forcing (Merimovich). The large cardinal assumption is the existence of a measurable cardinal $\kappa$ of Mitchell order $O(\kappa)=\kappa^{++}+\kappa^+.$


