Abstract The full Maxwell equations in the unbounded three-dimensional space coupled to Landau–Lifshitz–Gilbert equation serve as a well-tested model for ferromagnetic materials. We propose weak formulation of system based on boundary integral exterior equations. show existence and partial uniqueness solution new numerical algorithm finite elements spatial discretization with backward Euler con...

We present an automated method for tracking 3D motion in planar tagged MRI. First, displacement between successive 2D image frames is estimated from their local phase, also known as HARP. The displacement estimates then drive a 3D finite element model which tracks systolic motion. The 3D model allows for 1) estimating 3D motion from niultiple 2D tagged images and 2) for regularizing the phase e...

In this article, we investigate and analyze new methods for the numerical solution of three-dimensional nonlocal evolution problem arising in viscoelastic mechanics. Then these combine Galerkin finite element (FEMs) spatial discretization with corresponding alternating direction implicit (ADI) algorithms, based on backward Euler (BE) method Crank-Nicolson (CN) method, respectively, from which, ...

The wireless environment poses a significant challenge to the propagation of signals. Different effects such as multipath scattering, noise, degradation, distortion, attenuation, and fading affect distribution signals adversely. Deep learning techniques can be used differentiate among different modulated for reliable detection in communication system. This study aims at distinguishing COVID-19 ...

We study boundary integral formulations for an interior/exterior initial value problem arising from the thermo-elasto-dynamic equations in a homogeneous and isotropic domain. The time dependence is handled, based on Lubich's approach, through passage to Laplace focus cases where one of unknown fields satisfies Dirichlet condition, while other subject conditions Neumann type. In domain, combined...

The primary goal of this paper is to create a new fractional boundary element method (BEM) model for bio-thermomechanical problems in functionally graded anisotropic (FGA) nonlinear viscoelastic soft tissues. governing equations are briefly presented, including the dual-phase-lag (DPL) bioheat and Biot’s model. more complex shapes tissues can be handled by method, which also avoids need interio...

In this paper, an implicit difference scheme is proposed and analyzed for a class of nonlinear fourth-order equations with the multi-term Riemann–Liouvile (R–L) fractional integral kernels. For convection term, we handle implicitly attain system algebraic by using Galerkin method based on piecewise linear test functions. The terms are treated convolution quadrature. order to obtain fully discre...

4. 4.1. 4.1.1. 4.1.2. 4.1.3. 4.2. 4.3. Gaussian quadrature with preassigned nodes Christoffel's work and related developments Kronrod's extension of quadrature rules Gaussian quadrature with multiple nodes The quadrature formula of Turan Arbitrary multiplicities and preassigned nodes Power-orthogonal polynomials Constructive aspects and applications Further miscellaneous extensions Product-type...