A new construction of boundary interpolating wavelets for fourth order problems (Q681314)
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scientific article; zbMATH DE number 6832400
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new construction of boundary interpolating wavelets for fourth order problems |
scientific article; zbMATH DE number 6832400 |
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A new construction of boundary interpolating wavelets for fourth order problems (English)
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30 January 2018
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The authors construct a MRA on the interval \((0,1)\), with mixed Lagrange-Hermite interpolating wavelet functions. As this MRA is a slight modification of the interpolating MRA introduced by \textit{D. Donoho} [``Interpolating wavelet transform'', preprint, Department of Statistics, Stanford University (1992)], it leads to fast decomposition, error estimates and norm equivalences. This construction is used in adaptive wavelet collocation schemes for the solution of one-dimensional fourth-order problems. Numerical tests conducted on the Euler-Bernoulli beam problem show the efficiency of the method.
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interpolating wavelets
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wavelet collocation
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Euler-Bernoulli beam problem
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