Abstract
A common cause of spurious (non-physical) modes that arise in either finite difference or finite element derived eigenvalue problems is identified. It is shown that these modes are the result of an excessively flexible system. The flexibility is removed by constraining the problem. An analogy is drawn between electromagnetic wave propagation and acoustic wave propagation in liquids to show that the spurious modes encountered in both cases are due to fundamentally the same cause. Results are presented to show that constraining the problem yields a significant reduction in the number of spurious modes, a big improvement in the quality of the eigenvector of the physical modes and only a marginal increase in the error in the eigenvalue for the low order modes.
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