Efficient computation of dispersion curves for multilayered waveguides and half-spaces

摘要: Abstract Motivated by the need to compute dispersion curves for layered media in contexts of geophysical inversion and nondestructive testing, a novel discretization approach, termed complex-length finite element method (CFEM), is developed shown be more efficient than existing approaches. The new approach exponentially convergent based on two key features: unconventional stretching mesh into complex space midpoint integration evaluating contribution matrices. For modeling half-spaces infinite depth, we couple CFEM with perfectly matched discrete layers (PMDL) minimize errors due truncation. A number numerical examples are used investigate efficiency proposed methods. It that suggested combination PMDL drastically reduces elements, while requiring minor modifications codes. concluded methods’ exponential convergence sparse computation associated linear result significant reduction overall computational cost.