caa a22 4500 475839765 CHVBK 20180406123858.0 cr unu---uuuuu 170329e20001001xx s 000 0 eng 10.1023/A:1004750524689 doi (NATIONALLICENCE)springer-10.1023/A:1004750524689 Wavelet methods for the solution of wave-body problems [Elektronische Daten] [Jens Nygaard, John Grue] Fredholm integral equations of the second kind that arise in wave analysis of floating bodies are solved using a wavelet method. The two-dimensional linear wave-body problem for arrays of rectangular cylinders floating in the free surface of an otherwise unbounded fluid is considered. Both spline wavelets and the Daubechies wavelets with adaption to an interval are used as basis functions. An apriori compression strategy taking into account the singularities of the kernel of the integral equation, which arise at the corners of the geometry, is developed. The algorithm is O(n), where n is the number of unknowns. Computations of the hydrodynamic properties of the cylinders using the compression strategy are performed. The strategy is found to work well. A very high compression rate is obtained, still keeping a high accuracy of the computations. The accuracy of the potential close to the corners (singular points) is examined in a special case where an analytical solution is available. Kluwer Academic Publishers, 2000 integral equations nationallicence wavelets nationallicence high-order methods nationallicence compression nationallicence marine hydrodynamics nationallicence Nygaard Jens Mechanics Division, Department of Mathematics, University of Oslo, Norway aut Grue John Mechanics Division, Department of Mathematics, University of Oslo, Norway aut Journal of Engineering Mathematics Kluwer Academic Publishers 38/3(2000-10-01), 323-354 0022-0833 38:3<323 2000 38 10665 https://doi.org/10.1023/A:1004750524689 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1004750524689 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Nygaard Jens Mechanics Division, Department of Mathematics, University of Oslo, Norway aut NATIONALLICENCE 700 1- Grue John Mechanics Division, Department of Mathematics, University of Oslo, Norway aut NATIONALLICENCE 773 0- Journal of Engineering Mathematics Kluwer Academic Publishers 38/3(2000-10-01), 323-354 0022-0833 38:3<323 2000 38 10665 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer