Tuning the alternating Schwarz method to the exterior problems is the subject of this paper. We present the original algorithm and we propose a modification of it, so that the solution of the subproblem involving the condition at infinity has an explicit integral representation formulas while the solution of the other subproblem, set in a bounded domain, is approximated by classical variational methods. We investigate many of the advantages of the new Schwarz approach: a geometrical convergence...
A variant of the Total Overlapping Schwarz (TOS) method has been introduced in [Ben Belgacem , 336 (2003) 277–282] as an iterative algorithm to approximate the absorbing boundary condition, in unbounded domains. That same method turns to be an efficient tool to make numerical zooms in regions of a particular interest. The TOS method enjoys, then, the ability to compute small structures one wants to capture and the reliability to obtain the behavior of the solution at infinity, when handling exterior...
A variant of the Total Overlapping
Schwarz (TOS) method has been introduced in [Ben Belgacem ,
(2003) 277–282]
as an iterative algorithm to approximate the
absorbing boundary condition, in unbounded domains.
That same method turns to be an efficient tool
to make numerical zooms
in regions of a particular interest.
The TOS method
enjoys, then, the ability to compute small structures one
wants to capture and
the reliability to obtain
the behavior of the solution...
Tuning the alternating Schwarz method to the
exterior problems is the subject of this paper.
We present the original algorithm
and we propose a modification of it, so that the
solution of the subproblem involving the condition at infinity
has an explicit integral representation formulas while the solution
of the other subproblem, set in a bounded domain,
is approximated by classical variational methods.
We investigate many of the advantages of the new
Schwarz approach: a geometrical convergence...
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