On a deficiency in unconditionally stable explicit time-integration methods in elastodynamics and heat transfer (Q800139)
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scientific article; zbMATH DE number 3876759
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a deficiency in unconditionally stable explicit time-integration methods in elastodynamics and heat transfer |
scientific article; zbMATH DE number 3876759 |
Statements
On a deficiency in unconditionally stable explicit time-integration methods in elastodynamics and heat transfer (English)
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1984
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Unconditionally stable (semi-)explicit integration schemes for stiff systems of equations as generated by finite element analysis of elastodynamics and nonstationary heat transfer are shown to suffer from the DuFort-Frankel-Saul'ev syndrome [\textit{R. D. Richtmyer} and \textit{K. W. Morton}, Difference methods for initial value problems (1967; Zbl 0155.475)] whereby coupling between the space and time discretizations may have a ruinous effect on the accuracy of the computations.
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Unconditionally stable (semi-)explicit integration schemes
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stiff systems of equations
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elastodynamics
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nonstationary heat transfer
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DuFort-Frankel-Saul'ev syndrome
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