Thevenin Equivalent Fields

摘要

A theory of equivalent fields, analogous to equivalent circuits in network theory, is developed. It extends diakoptic analysis and permits solution of two (or more) coupled boundary-value problems independently, representing their mutual coupling by appropriate influence constraints and functions. Analytical models are derived, and their impact on numerical methods is explored. This technique is particularly valuable where detailed results are sought only in a small portion of a large field problem.