A Numerical Solution to Fractional Diffusion Equation for Force-Free Case by O. Tasbozan, A. Esen, N. M. Yagmurlu, Y. Ucar

“…A collocation finite element method for solving fractional diffusion equation for force-free case is considered. …”
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Dynamics of a Slab in the Roof of a Buried Structure When the Stiffness of its Supports is Varied by A. V. Alekseytsev

“…When building the fibre concrete model, volumetric finite elements were used, coupling with reinforcement was taken into account by using interpolation elements, steel reinforcement was represented as an ideal elastoplastic body. …”
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Vibration Analysis of Multilink Manipulators Based on Timoshenko Beam Theory by Carmelo di Castri, Arcangelo Messina

“…Once the analytical model is introduced, solutions are compared to both those achieved by previous models and those obtained by a finite elements method.…”
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Vibration of a Laminated Beam with a Delamination Including Contact Effects by W. Ostachowicz, A. Żak

“…In order to investigate this task the finite element method has been applied in the current study. …”
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Modeling of Brain Shift Phenomenon for Different Craniotomies and Solid Models by Alvaro Valencia, Benjamin Blas, Jaime H. Ortega

“…The models were solved with the finite elements package ANSYS. The predictions on stress and displacements were compared for three different craniotomies. …”
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Numerical approximations of thin structure deformations by Bonito, Andrea, Guignard, Diane, Morvant, Angelique

“…Equilibrium deformations are approximated using local discontinuous Galerkin finite elements. The discrete energies relies on a discrete Hessian operator defined on discontinuous functions with better approximation properties than the piecewise Hessian. …”
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Computational Treatments of Cavitation Effects in Near-Free-Surface Underwater Shock Analysis by Michael A. Sprague, Thomas L. Geers

“…In order to avoid the use of a large array of cavitating acoustic finite elements (CAFE), various wet-surface approximations have been proposed. …”
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Complexities in Assessing Structural Health of Civil Infrastructures by Abdullah Al-Hussein, Achintya Haldar

“…To meet the current needs of locating defect spots and their severity accurately and efficiently, infrastructures are represented by finite elements. To increase the implementation potential, the stiffness parameters of all the elements are identified and tracked using only few noise-contaminated dynamic responses measured at small part of the infrastructure. …”
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Stability of a weighted L2 projection in a weighted Sobolev norm by Averseng, Martin

“…We prove the stability of a weighted $L^2$ projection operator onto piecewise linear finite elements spaces in a weighted Sobolev norm. Namely, we consider the orthogonal projections $\pi _{N,\omega }$ from $L^2(\mathbb{D},1/\omega (x)\mathrm{d}x)$ to $\mathcal{X}_N$, where $\mathbb{D} \subset \mathbb{R}^2$ is the unit disk, $\omega (x) = \sqrt{1 - \vert x\vert ^2}$ and the spaces $(\mathcal{X}_N)_{N \in \mathbb{N}}$ consist of piecewise linear functions on a family of shape-regular and quasi-uniform triangulations of $\mathbb{D}$. …”
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Simulation of the Thermal Conditions of Cask with Fuel Assemblies of BN-350 Reactor for Dry Storage by Ye. T. Koyanbayev, M. K. Skakov, D. A. Ganovichev, Ye. A. Martynenko, A. A. Sitnikov

“…Simulation of the thermal condition of the cask is conducted with finite elements method using ANSYS software. Calculations of fuel temperature, fuel cladding, and assembly structural elements are the part of the safety analysis for storage of spent FA. …”
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Implementation of Virtual Crack Closure Technique for Damaged Composite Plates Using Higher-Order Layerwise Model by Kwang S. Woo, Jae S. Ahn

“…For patched aluminum plate with behavior of complexity, the accuracy and simplicity of the present model are shown with comparison of the results with previously published papers using the conventional three-dimensional finite elements based on h-refinement.…”
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Design and Control of Nonlinear Mechanical Systems for Minimum Time by J.B. Cardoso, P.P. Moita, A.J. Valido

“…The dynamic response and its sensitivity are discretized via space-time finite elements, and may be integrated either by at-once integration or step-by-step. …”
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Health Assessment of Large Two Dimensional Structures Using Limited Information: Recent Advances by Ajoy Kumar Das, Achintya Haldar, Subrata Chakraborty

“…The procedure is a finite elements-based time-domain system-identification technique. …”
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Unstructured Grids and the Multigroup Neutron Diffusion Equation by German Theler

“…A simple two-dimensional homogeneous circular reactor is solved using a coarse unstructured grid in order to illustrate some basic differences between the finite volumes and the finite elements method. Also, the classic 2D IAEA PWR benchmark problem is solved for eighty combinations of symmetries, meshing algorithms, basic geometric entities, discretization schemes, and characteristic grid lengths, giving even more insight into the peculiarities that arise when solving the neutron diffusion equation using unstructured grids.…”
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Modeling and Simulation of the Hydrogenation of α-Methylstyrene on Catalytically Active Metal Foams as Tubular Reactor Packing by Farzad Lali, Felix-Aron Pahner, Rüdiger Lange

“…The method of orthogonal collocation on finite elements was applied. For isothermal and polytropic processes and steady state conditions, axial profiles for concentration, temperature, fluid velocities, pressure, and liquid holdup were computed and the conversions for various gas and liquid flow rates were validated with experimental results. …”
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On the analysis of modes in a closed electromagnetic waveguide by Halla, Martin, Monk, Peter

“…They can also be used to construct generalized Dirichlet-to-Neumann maps that provide artificial boundary conditions for truncating a computational domain when discretizing the field by finite elements. The modes of a waveguide arise as eigenfunctions of a non-symmetric eigenvalue problem, and the eigenvalues determine the propagation (or decay) of the modes along the waveguide. …”
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Nonstationary Random Vibration Performance of Train-Bridge Coupling System with Vertical Track Irregularity by Xiaozhen Li, Yan Zhu, Zhibin Jin

“…A multibody mass-spring-damper model is employed to represent a moving railway car and the bridge system is simulated by finite elements. By introducing the pseudo excitation algorithm into the train-bridge interaction dynamic system, expressions of the mean value, standard deviation, and power spectral density of the nonstationary random dynamic responses of bridge and vehicles are derived. …”
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Degradation of Interfacial Bond for FRPs Near-Surface Mounted to Concrete Under Fatigue: An Analytical Approach by Xun Wang, Lijuan Cheng

“…The bond region was discretized into finite elements to include the effect of bond degradation to different extents, and a closed-form solution was derived by virtue of appropriate boundary conditions in each fatigue cycle. …”
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Affine Discontinuous Galerkin Method Approximation of Second-Order Linear Elliptic Equations in Divergence Form with Right-Hand Side in L1 by Abdeluaab Lidouh, Rachid Messaoudi

“…We consider the standard affine discontinuous Galerkin method approximation of the second-order linear elliptic equation in divergence form with coefficients in L∞Ω and the right-hand side belongs to L1Ω; we extend the results where the case of linear finite elements approximation is considered. We prove that the unique solution of the discrete problem converges in W01,qΩ for every q with 1≤q<d/d-1 (d=2 or d=3) to the unique renormalized solution of the problem. …”
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Comparison of Two Mechanics-Based Methods for Simplified Structural Analysis in Vulnerability Assessment by H. Crowley, B. Borzi, R. Pinho, M. Colombi, M. Onida

“…This paper looks at two mechanics-based vulnerability assessment methods (DBELA and SP-BELA) and compares the nonlinear static response predicted with these methods with finite elements-based nonlinear analyses of prototype buildings. …”
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