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math.NA2024★ 3 cited
A Sylvester equation approach for the computation of zero-group-velocity points in waveguides
Bor Plestenjak, Daniel A. Kiefer, Hauke Gravenkamp
Eigenvalues of parameter-dependent quadratic eigenvalue problems form eigencurves. The critical points on these curves, where the derivative vanishes, are of practical interest. A…
math.NA2024★ 16 cited
Computation of leaky waves in layered structures coupled to unbounded media by exploiting multiparameter eigenvalue problems
Hauke Gravenkamp, Bor Plestenjak, Daniel A. Kiefer +1
We present a semi-analytical approach to compute quasi-guided elastic wave modes in horizontally layered structures radiating into unbounded fluid or solid media. This problem is o…