- Loftman, R.C. and Bliss, D.B., Analytical/numerical matching for efficient calculation of scattering from cylindrical shells with lengthwise constraints,
Journal of the Acoustical Society of America, vol. 103 no. 4
pp. 1885 - 1896 [1.421340] .
(last updated on 2007/04/09)
Analytical/numerical matching (ANM) is a general method that achieves high accuracy using low-resolution numerics by treating the most rapidly varying parts of a problem analytically, and separately, from the overall computational evaluation of the problem. As part of a broad research effort to apply ANM to structural-acoustic problems with structural discontinuities, the method is explored in the context of two-dimensional scattering from a cylindrical shell with discrete structural constraints. This application is an embodiment of a general approach to problems that require numerical approximation, and contain computationally taxing regions of rapid variation.
Acoustic waves;Vibrations (mechanical);Shells (structures);Mathematical models;Calculations;Fluid structure interaction;Problem solving;Numerical methods;Approximation theory;Polynomials;