Advancements in technology have revolutionized healthcare, with notable impacts on auditory health. This study introduces a novel approach aimed at optimizing materials for middle ear prostheses to enhance auditory pe...
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Advancements in technology have revolutionized healthcare, with notable impacts on auditory health. This study introduces a novel approach aimed at optimizing materials for middle ear prostheses to enhance auditory performance. We developed a finiteelement (FE) model of the ear incorporating a pure titanium TORP prosthesis, validated against experimental data. Subsequently, we applied Functionally Graded Materials (FGM) methodology, utilizing linear, exponential, and logarithmic degradation functions to modify prosthesis materials. Biocompatible materials suitable for auditory prostheses, including Stainless Steel, titanium, and Hydroxyapatite, were investigated. Our findings indicate that combinations such as Stainless Steel with titanium and Hydroxyapatite offer improved outcomes compared to pure titanium and Hydroxyapatite ceramic, in terms of both displacement and stress. Additionally, personalized prostheses tailored to individual patient needs are feasible, underscoring the potential for further advancements in auditory healthcare.
We analyze the numerical solution of a non-linear evolutionary variational inequality, which is encountered in the investigation of quasi-static contact problems. The study of this article encompasses both the semi-di...
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We analyze the numerical solution of a non-linear evolutionary variational inequality, which is encountered in the investigation of quasi-static contact problems. The study of this article encompasses both the semi-discrete and fully discrete schemes, where we employ the backward Euler method for time discretization and utilize the lowest order Crouzeix-Raviart non-conforming finite-element method for spatial discretization. By assuming appropriate regularity conditions on the solution, we establish a priori error analysis for these schemes, achieving the optimal convergence order for linear elements. To illustrate the numerical convergence rates, we provide numerical results on a two-dimensional test problem.
This paper provides a convergence analysis of the finite-element method for time-dependent Maxwell's equations by means of an explicit-magnetic-field scheme. Error estimates in finite time are given. And it is ver...
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This paper provides a convergence analysis of the finite-element method for time-dependent Maxwell's equations by means of an explicit-magnetic-field scheme. Error estimates in finite time are given. And it is verified that provided the time-stepsize tau is sufficiently small, the proposed algorithm yields for finite time Tan error of O(h(s) + tau) in the L-2-norm for the electric field E, the magnetic field H, where h is the mesh size and 1/2 < s <= 1. In addition, some numerical results are reported in the paper. (c) 2005 Elsevier B.V. All rights reserved.
A full-wave finite-element method (FEM) is formulated and applied in the analysis of practical electronic packaging circuits and interconnects, The method is used to calculate S-parameters of unshielded microwave comp...
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A full-wave finite-element method (FEM) is formulated and applied in the analysis of practical electronic packaging circuits and interconnects, The method is used to calculate S-parameters of unshielded microwave components such as patch antennas, filters, spiral inductors, bridges, bond wires, and microstrip transitions through a via, Although only representative microwave passive circuits and interconnects are analyzed in this paper, the underlined formulation is applicable to structures of arbitrary geometrical complexities including microstrip and eoplanar-waveguide transitions, multiple conducting vias and solder humps, multiple striplines, and multilayer substrates, The accuracy of the finite-element formulation is extensively verified by calculating the respective S-parameters and comparing them with results obtained using the finite-difference time-domain (FETD) method, Computational statistics for both methods are also discussed.
We report the development of a finite-element-based solver to compute transport of mass, momentum and energy during evaporation of a sessile droplet on a heated surface. The evaporation is assumed to be quasi-steady a...
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We report the development of a finite-element-based solver to compute transport of mass, momentum and energy during evaporation of a sessile droplet on a heated surface. The evaporation is assumed to be quasi-steady and diffusion-limited. The heat transfer between the droplet and substrate and mass transfer of liquid-vapor are solved using a two-way coupling. In particular, here, we develop and implement the formulation of fluid flow inside the droplet in the model. The continuity and Navier-Stokes equations are solved in axisymmetric, cylindrical coordinates. Jump velocity boundary condition is applied on the liquid-gas interface using the evaporation mass flux. The governing equations are discretized in the framework of the Galerkin weight residual approach. A mesh of finite triangular elements with six nodes is utilized, and quadratic shape functions are used to obtain the second-order accurate numerical solution. Two formulations, namely, penalty function and velocity pressure, are employed to obtain discretized equations. The numerical results are the same using both methods, and the latter is around 30-50% faster than the former for the cases of refined grid. Computed flow fields are in excellent agreement with published results. The solver's capability is demonstrated by solving the internal flow field for a case of a heated substrate.
Tomography determines the distribution of materials by the use of sensors that captures information on the materials in regions of interests such as cross-section of pipelines or process vessels. In this paper, system...
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Tomography determines the distribution of materials by the use of sensors that captures information on the materials in regions of interests such as cross-section of pipelines or process vessels. In this paper, system equation for the 4 and 16 sensor systems is derived based on the Cartesian coordinate system, the elements' technique of the finite-element method, Gauss's and Coulomb's theories. The derived equation relates the electric charge distribution in a pipeline cross-section and the installed sensors at the periphery of the pipeline. From the developed system equation, sensitivity matrices for the two systems resulting from the assumed spatial electric-charge distribution on the pipeline cross-section were made. The developed sensitivity matrices of the two systems were in turn used for the reconstruction of the tomography images or concentration profiles of the moving particles across the pipeline cross-section. This research is carried out in order to explore the possibilities of reducing the 8 to 32 electrodynamic sensor systems that are normally used in electric charge tomography systems. A comparison between the reconstructed images of the 4 and 16 sensor systems was made, and the results show that the 16 sensor system produced more accurate images than the 4 sensor system. Nevertheless, the 4 sensors' system could be used in quantitative applications. (C) 2014 Elsevier Ltd. All rights reserved.
In electrical impedance tomography (EIT), current patterns are injected into a subject and boundary voltages are measured to reconstruct a cross-sectional image of resistivity distribution. Static EIT image reconstruc...
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In electrical impedance tomography (EIT), current patterns are injected into a subject and boundary voltages are measured to reconstruct a cross-sectional image of resistivity distribution. Static EIT image reconstruction requires a computer model of a subject, an efficient data-collection method and robust and fast reconstruction algorithms. The finite-element method is used as the computer model. The paper describes the finite-element analysis software package developed, including an interactive graphical mesh generator and fast algorithms for solving linear systems of equations using sparse-matrix and vector techniques. Various models of irregularly shaped subjects are developed using mesh-design tools, including automatic mesh generation and optimisation using the delaunay algorithm. Even though the software package is customised for the use in electrical impedance tomography, it can be used for other biomedical research areas, such as impedance cardiography, cardiac defibrillation and impedance pneumography.
Deterministic mathematical modeling of complex geologic transport processes may require the use of odd boundary shapes, time dependency, and two or three dimensions. Under these circumstances the governing transport e...
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Deterministic mathematical modeling of complex geologic transport processes may require the use of odd boundary shapes, time dependency, and two or three dimensions. Under these circumstances the governing transport equations must be solved by numerical methods. For a number of transport phenomena a general form of the convective-dispersion equation can be employed. The solution of this equation for complicated problems can be solved readily by the finite-element method. Using quadrilateral isoparametric elements or triangular elements and a computational algorithm based on Galerkin's procedure, solutions to unsteady heat flux from a dike and seawater intrusion in an aquifer have been obtained. These examples illustrate that the finite-element numerical procedure is well suited for solving boundary-value problems resulting from modeling of complex physical phenomena.
A new finiteelementmethod （FEM） of B-spline wavelet on the interval （BSWI） is proposed. Through analyzing the scaling functions of BSWI in one dimension, the basic formula for 2D FEM of BSWI is deduced. The 2D F...
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A new finiteelementmethod （FEM） of B-spline wavelet on the interval （BSWI） is proposed. Through analyzing the scaling functions of BSWI in one dimension, the basic formula for 2D FEM of BSWI is deduced. The 2D FEM of 7 nodes and 10 nodes are constructed based on the basic formula. Using these proposed elements, the multiscale numerical model for foundation subjected to harmonic periodic load, the foundation model excited by external and internal dynamic load are studied. The results show the pro- posed finiteelements have higher precision than the tradi- tional elements with 4 nodes. The proposed finiteelements can describe the propagation of stress waves well whenever the foundation model excited by extemal or intemal dynamic load. The proposed finiteelements can be also used to con- nect the multi-scale elements. And the proposed finiteelements also have high precision to make multi-scale analysis for structure.
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