Linear continuous interior penalty finite element method for Helmholtz equation with high wave number: One-dimensional analysis (Q2821186)
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scientific article; zbMATH DE number 6628232
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Linear continuous interior penalty finite element method for Helmholtz equation with high wave number: One-dimensional analysis |
scientific article; zbMATH DE number 6628232 |
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16 September 2016
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Helmholtz equation
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continuous interior penalty finite element method
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large wave numbers
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pollution
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Linear continuous interior penalty finite element method for Helmholtz equation with high wave number: One-dimensional analysis (English)
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The paper analyses the inhomogeneous one-dimensional Helmholtz equation in particular for large wave numbers. An \(H^1\)-conforming finite element method which penalizes jumps in the first derivatives across element boundaries is investigated. An a priori error estimate is proved, and via an additional dispersion analysis it is shown that a suitable choice of the penalisation parameter removes pollution effects.NEWLINENEWLINE Some numerical experiments illustrate the results. A short section on the two-dimensional case indicates similar properties also here.
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