Divisor structure of finite element eigenproblems arising from negative and zero masses (Q1089184)
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scientific article; zbMATH DE number 4003671
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Divisor structure of finite element eigenproblems arising from negative and zero masses |
scientific article; zbMATH DE number 4003671 |
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Divisor structure of finite element eigenproblems arising from negative and zero masses (English)
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1988
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This note explains why and when the divisor structure of finite element eigenproblems is nonpathological even when negative and/or zero masses result from lumping schemes. The only case of concern is when the stiffness matrix is singular due to rigid-body modes, as happens, for example, with single elements. It is found that there are no pathologies if the lumping scheme adequately reproduces the kinetic energy of rigid- body motion.
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divisor structure
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finite element eigenproblems
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non-pathological
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zero masses
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lumping
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stiffness matrix
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singular
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right-body modes
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kinetic energy
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optimal nodal quadrature rule
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higher-order elements
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negative masses
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