Gabriel Kron - Method of Tearing

Method of Tearing

The "Method of Tearing" is a technique for splitting up physical problems into sub-problems, solving each individual sub-problem, and then recombining them to give an exact overall solution. The technique is efficient on sequential computers, but is particularly so on parallel architectures. Its relevance to quantum parallelism is not yet understood. It is peculiar as a decomposition method, in that it involves taking values on the "intersection layer" (the boundary between subsystems) into account. The method has been rediscovered by the parallel processing community recently under the name "Domain Decomposition". It is also related to Mereology, the Science of Parts and Wholes.

The Tensor Club of Great Britain (TCGB) and the Research Association of Applied Geometry of Tokyo (RAAG) were formed to study Kron's and similar work. Diakoptics has also found use in many other branches of engineering, including structures, aerodynamics, control systems, and nuclear reactors.

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