Abstract: A method and apparatus for analyzing and producing systems based upon finite element modeling and partial differential equations is presented. The apparatus includes the capability for parallel processing and decomposition of a model into parts. The method permits a model to be assembled from parts stored in a memory or database. The model is produced by interconnecting into a package the partition subsystems through an interface. The system does not require processing of data relating to an entire model at a single time. It thus permits analyses to be performed with reduced processing times and memory capacity requirements.