Interferometry has been used widely in sensing application. However, the technique is limited by finite coherence time of light sources when interference paths are not balanced. Higher-order effects involve intensity correlations between multiple detectors and may have advantage over traditional second-order effect exhibited only one detector. We discuss various scenarios with unbalanced delays...

This paper adopts an efficient meshless approach for approximating the nonlinear fractional fourth-order diffusion model described in Riemann–Liouville sense. A second-order difference technique is applied to discretize temporal derivatives, while radial basis function generated finite scheme approximates spatial derivatives. One key advantage of local collocation method approximation derivativ...

We design an unfitted hybrid high-order (HHO) method for the wave equation. The propagates in a domain where curved interface separates subdomains with different material properties. key feature of discretization is that can cut more or less arbitrarily through mesh cells. address both second-order formulation time equation and its reformulation as first-order system. prove H1-error estimates s...

A discontinuous Galerkin finite element method has been developed to treat the high-order spatial derivatives appearing in the Cahn–Hilliard equation. The Cahn–Hilliard equation is a fourth-order nonlinear parabolic partial differential equation, originally proposed to model phase segregation of binary alloys. The developed discontinuous Galerkin approach avoids the need for mixed finite elemen...

This paper focuses on the numerical simulation of martensitic transformations in shape memory alloys (SMAs) using a phase-field model. We developed a dynamic thermo-mechanical model for SMAs, using strain based order parameter, having bi-directional coupling between structural and thermal physics via strain, strain rate and temperature. The model involves fourth order spatial derivatives repres...