A new construction of boundary interpolating wavelets for fourth order problems
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.
scientific article; zbMATH DE number 6832400
scientific article