A static ballooning technique for 2-D open boundary problems

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Abstract
The paper describes a differential technique for matching an interior problem region to an exterior, Laplacian region. The technique is based on the construction of a set of annuli around the interior region to model the exterior space. The annuli are specified by a mapping operation which is described in terms of the interior boundary nodes and the directions of expansion. A functional F in terms of the different directions of expansion is first defined and then differentiated to specify the mapping. Admittance matrices due to the exterior region are then easily obtained and combined to give a final admittance matrix which represents the effect of the exterior region on the interior boundary nodes.

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