Multipole Expansion Solution of the Laplace Equation using Surface Data
AbstractThis paper provides a computational method to model a three-dimensional static electromagnetic field within a finite source free
volume starting from discrete field information on its surface. The method uses the Helmholtz vector decomposition theorem and the
differential algebraic framework of COSY INFINITY to determine a solution to the Laplace equation. The solution is locally expressed
as a Taylor expansion of the field which can be computed to arbitrary order. It provides a natural multipole decomposition of the field
which is required for the computation of transfer maps, and also allows to obtain very accurate finite element representations with very
small numbers of cells.
S. Manikonda, M. Berz,
Nuclear Instruments and Methods A558,1 (2006) 175-183
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