20.500.12556/RUL-178334 Computing leaky waves in semi-analytical waveguide models by exponential residual relaxation Semi-analytical methods for modeling guided waves in structures of constant cross-section yield frequency-dependent polynomial eigenvalue problems for the wavenumbers and mode shapes. Solving these eigenvalue problems over a range of frequencies results in continuous eigencurves. Recent research has shown that eigencurves of differentiable parameter-dependent eigenvalue problems can alternatively be computed as solutions to a system of ordinary differential equations (ODEs) obtained by postulating an exponentially decaying residual of a modal solution. Starting from an approximate initial guess of the eigenvalue and eigenvector at a given frequency, the complete eigencurve is obtained using standard numerical ODE solvers. We exploit this idea to develop an efficient method for computing the dispersion curves of plate structures coupled to unbounded solid or fluid media. In these scenarios, the approach is particularly useful because the boundary conditions give rise to nonlinear terms that severely hinder the application of traditional solvers. We discuss suitable approximations of the nonlinearity for obtaining initial values, analyze computational costs and robustness of the proposed algorithm, and verify results by comparison against existing methods. guided waves plates soil dynamics leaky waves semi-analytical method Zhang neural networks vodeni valovi plošče dinamika tal puščajoči valovi semianalitične metode Zhangove nevronske mreže true false true Angleški jezik Slovenski jezik Članek v reviji 2026-01-23 10:28:00 2026-01-23 10:28:05 2026-01-24 04:32:39 0000-00-00 00:00:00 2026 0 0 17 str. part B, art. no. 118763 Vol. 452 Apr. 2026 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 2026-04-01 519.6 0045-7825 10.1016/j.cma.2026.118763 265875715 1-s2.0-S004578252600037X-main.pdf 1-s2.0-S004578252600037X-main.pdf 1 46785EE7B88ADD1AADD208C29FCFC1EE a353bd206c371608f9727801f61c2bd01a726441107813a20eaaf38b3bc5a7a6 55dc081b-f83e-11f0-a1ba-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=226087 https://www.sciencedirect.com/science/article/pii/S004578252600037X 1 d273078a-f83d-11f0-a1ba-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=226086 Fakulteta za matematiko in fiziko 0 0 0