G. W. Zumbusch.
Overlapping domain decomposition methods in Diffpack.
Technical report, Sintef Applied Mathematics, Oslo, Norway, 1996.
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The report gives an introduction to the overlapping domain decomposition solvers of Schwarz type in Diffpack. It is meant as a tutorial for the use of iterative solvers, preconditioners and nonlinear solvers based on overlapping Schwarz methods for partial differential equations. Additive Schwarz methods serve as a standard method for solving equation systems on parallel computers. They are also useful for computations on complicated domains constructed from simple domains where efficient equations solvers are available. We provide an introduction to the implementation and use of such methods in Diffpack. The first steps are guided by a couple of examples and exercises. We also want to refer to an accompanied tutorial on multigrid methods in Diffpack, which methods and codes are quite related.