Title :
Local approximation matching for open boundary problems
Author :
Halverson, Derek ; Friedman, Gary ; Tsukerman, Igor
Author_Institution :
Electr. & Comput. Eng. Dept., Drexel Univ., Philadelphia, PA, USA
fDate :
7/1/2004 12:00:00 AM
Abstract :
A local approximation matching method is used to derive a computational scheme for static field problems with open boundaries. This scheme results in a conventional finite difference method applied in the interior and a new difference scheme applied to nodes on the exterior boundary. Numerical examples are provided indicating that errors due to mesh truncation are low.
Keywords :
boundary-elements methods; electrostatics; errors; finite difference methods; boundary value problems; computational scheme; exterior boundary; finite difference methods; local approximation matching; mesh truncation; numerical analysis; open boundary problems; static field problems; Analog computers; Computational efficiency; Cost function; Differential equations; Finite difference methods; Finite element methods; Finite wordlength effects; H infinity control; Numerical analysis; Sparse matrices; Boundary value problems; FD; finite difference; methods; numerical analysis;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2004.832160
