In this note we discuss the combination of the classical CSS and CSF approaches with special FEM techniques towards a fully implicit distance-free level set method. Based on a new surface stress formulation, neither normals nor curvature have to be explicitly calculated, and also the explicit redistancing can be avoided so that a monolithic formulation of the corresponding multiphase problem ge...

Abstract: In this paper, a new solution of solidification problems in continuous casting based on meshless method is presented with multiple strategies to solve the practical problems. An additional term is added to stabilise the computation with Neumann boundary. The enthalpy method is used to calculate the latent heat and the corresponding iterative solution is given. An iteration scheme for ...

We introduce a dynamic Deep Learning (DL) architecture based on the Finite Element Method (FEM) to solve linear parametric Partial Differential Equations (PDEs). The connections between neurons in mimic connectivity graph when applying mesh refinements. select and discuss several losses employing preconditioners different norms enhance convergence. For simplicity, we implement resulting Deep-FE...

<span lang="EN-US">The interest in synchronous reluctance machine (SynRM) does not stop increasing recent decades; this is encouraged by their numerous advantages. This paper presents a nonlinear parametric study of the SynRM using finite element method (FEM) method. After brief introduction and description basic principles an investigation evaluation effects some influential parameters’ ...

The study of the mechanical interaction among the host, interface, and a device embedded within a laminated composite is important. Embedding micro-sensors in composite laminates produces material discontinuity around the inclusions. This in turn produces stress concentrations at or near the inclusions. Both 2D plane strain and 3D FEM models are developed to analyze the stress/strain state surr...

In this paper the damage in clamped-free, clampedclamped and free-free beam are analyzed considering samples without and with structural modifications. The damage location is investigated by the use of the bispectrum and wavelet analysis. The mathematical models are obtained using 2D elasticity theory and the Finite Element Method (FEM). The numerical and experimental data are approximated usin...

The paper presents an optimization study based on genetic algorithms (GA’s) for a radio-frequency applicator used in heating dielectric band products. The weakly coupled electro-thermal problem is analyzed using 2D-FEM. The design variables in the optimization process are: the voltage of a supplementary “guard” electrode and six geometric parameters of the applicator. Two objective functions ar...

We present a hybrid analytic-numeric method to calculate the transmission and reflection of light that is fluxed into a bounded complicated optical structure surrounded by air. The solution is obtained by numerically calculations inside a square containing the structure and by analytical calculations outside the square. For solving the 2D Helmholtz equation we formulate Transparent-Influx Bound...

Many important issues in transducer arrays design, such as crosstalk, cannot be accurately studied using analytic method due to the complexity of the partial differential equations involved. Finite element method (FEM) is the only appropriate way to gain more detailed information. In this paper, a 2D finite element model is constructed to modeling the structural and acoustic behaviour of transd...

This paper reports the theoretical and experimental investigations on the strain sensing effect of a two dimensions (2D) photonic crystal (PhC) nanocavity resonator. By using the finite element method (FEM) and finite difference time domain (FDTD) simulations, the strain sensitivity of a high quality factor PhC nanocavity was calculated. Linear relationships between the applied strain and the s...