|
|
|
|
|
|
|
\clearpage
|
|
|
|
|
|
|
|
\section{Adding new smoother and solver objects to MLD2P4\label{sec:adding}}
|
|
|
|
|
|
|
|
Developers can add completely new smoother and/or solver classes
|
|
|
|
derived from the base objects in the library (see Remark~2 in Section~\ref{sec:precset}),
|
|
|
|
without recompiling the library itself.
|
|
|
|
|
|
|
|
To do so, it is necessary first to select the base type to be extended.
|
|
|
|
In our experience, it is quite likely that the new application needs
|
|
|
|
only the definition of a ``solver'' object, which is almost
|
|
|
|
always acting only on the local part of the distributed matrix.
|
|
|
|
The parallel actions required to connect the various solver objects
|
|
|
|
are most often already provided by the block-Jacobi or the additive
|
|
|
|
Schwarz smoothers. To define a new solver, the developer will then
|
|
|
|
have to define its components and methods, perhaps taking one of the
|
|
|
|
predefined solvers as a starting point, if possible.
|
|
|
|
|
|
|
|
Once the new smoother/solver class has been developed, to use it in
|
|
|
|
the context of the multilevel preconditioners it is necessary to:
|
|
|
|
\begin{itemize}
|
|
|
|
\item declare in the application program a variable of the new type;
|
|
|
|
\item pass that variable as the argument to the \verb|set| routine as in the
|
|
|
|
following:
|
|
|
|
\begin{center}
|
|
|
|
\verb|call p%set(smoother,info [,ilev,ilmax,pos])|\\
|
|
|
|
\verb|call p%set(solver,info [,ilev,ilmax,pos])|
|
|
|
|
\end{center}
|
|
|
|
\item link the code implementing the various methods into the application executable.
|
|
|
|
\end{itemize}
|
|
|
|
The new solver object is then dynamically included in the
|
|
|
|
preconditioner structure, and acts as a \emph{mold} to which the
|
|
|
|
preconditioner will conform, even though the MLD2P4 library has not
|
|
|
|
been modified to account for this new development.
|
|
|
|
|
|
|
|
It is possible to define new values for the keyword \verb|WHAT| in the
|
|
|
|
\verb|set| routine; if the library code does not recognize a keyword,
|
|
|
|
it passes it down the composition hierarchy (levels containing
|
|
|
|
smoothers containing in turn solvers), so that it can be eventually caught by
|
|
|
|
the new solver. By the same token, any keyword/value pair that does not pertain to
|
|
|
|
a given smoother should be passed down to the contained solver, and
|
|
|
|
any keyword/value pair that does not pertain to a given solver is by
|
|
|
|
default ignored.
|
|
|
|
|
|
|
|
An example is provided in the source code distribution under the
|
|
|
|
folder \verb|tests/newslv|. In this example we are implementing a new
|
|
|
|
incomplete factorization variant (which is simply the ILU(0)
|
|
|
|
factorization under a new name). Because of the specifics of this case, it is
|
|
|
|
possible to reuse the basic structure of the ILU solver, with its
|
|
|
|
L/D/U components and the methods needed to apply the solver; only a
|
|
|
|
few methods, such as the description and most importantly the build,
|
|
|
|
need to be ovverridden (rewritten).
|
|
|
|
|
|
|
|
The interfaces for the calls shown above are defined using
|
|
|
|
\begin{center}
|
|
|
|
\begin{tabular}{p{1.4cm}p{12cm}}
|
|
|
|
\verb|smoother| & \verb|class(mld_x_base_smoother_type)| \\
|
|
|
|
& The user-defined new smoother to be employed in the
|
|
|
|
preconditioner.\\
|
|
|
|
\verb|solver| & \verb|class(mld_x_base_solver_type)| \\
|
|
|
|
& The user-defined new solver to be employed in the
|
|
|
|
preconditioner.
|
|
|
|
\end{tabular}
|
|
|
|
\end{center}
|
|
|
|
The other arguments are defined in the way described in
|
|
|
|
Sec.~\ref{sec:precset}. As an example, in the \verb|tests/newslv|
|
|
|
|
code we define a new object of type \verb|mld_d_tlu_solver_type|, and
|
|
|
|
we pass it as follows:
|
|
|
|
\begin{verbatim}
|
|
|
|
|
|
|
|
! sparse matrix and preconditioner
|
|
|
|
type(psb_dspmat_type) :: a
|
|
|
|
type(mld_dprec_type) :: prec
|
|
|
|
type(mld_d_tlu_solver_type) :: tlusv
|
|
|
|
|
|
|
|
......
|
|
|
|
!
|
|
|
|
! prepare the preconditioner: an ML with defaults, but with TLU solver at
|
|
|
|
! intermediate levels. All other parameters are at default values.
|
|
|
|
!
|
|
|
|
call prec%init('ML', info)
|
|
|
|
call prec%hierarchy_build(a,desc_a,info)
|
|
|
|
nlv = prec%get_nlevs()
|
|
|
|
call prec%set(tlusv, info,ilev=1,ilmax=max(1,nlv-1))
|
|
|
|
call prec%smoothers_build(a,desc_a,info)
|
|
|
|
|
|
|
|
\end{verbatim}
|