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Journal articles on the topic 'Nodal integration technique'

Author: Grafiati

Published: 23 July 2022

Last updated: 31 July 2025

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1

MJIDILA, Ahmed, Salah Eddine JALAL, Lahbib BOUSSHINE, and Zakaria EL LASKAOUI. "Nodal Integration Technique in Meshless Method." IOSR Journal of Mechanical and Civil Engineering 11, no. 1 (2014): 18–26. http://dx.doi.org/10.9790/1684-11141826.

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2

FENG, HUI, XIANGYANG CUI, and GUANGYAO LI. "STATIC AND DYNAMIC ANALYSIS OF TIMOSHENKO BEAM USING NODAL INTEGRATION TECHNIQUE." International Journal of Applied Mechanics 04, no. 04 (2012): 1250045. http://dx.doi.org/10.1142/s1758825112500457.

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In this paper, a nodal integration method (NIM) is presented to deal with the static and dynamic problems of Timoshenko beam. In the present method, linear-shape functions are employed to approximate the displacement field, and smoothing domains based on the nodes are further formed for computing the stiffness matrix. Through a smoothing operation, the shear locking is effectively avoided and the computation gets much simpler. For static problems, the upper bounds for a set of benchmark examples are obtained by nodal integration. For dynamic problems, while keeping the shear stiffness matrix t

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3

Greco, Francesco, Domenico Umbrello, Serena Di Renzo, Luigino Filice, I. Alfaro, and E. Cueto. "Application of the Nodal Integrated Finite Element Method to Cutting: a Preliminary Comparison with the “Traditional” FEM Approach." Advanced Materials Research 223 (April 2011): 172–81. http://dx.doi.org/10.4028/www.scientific.net/amr.223.172.

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FEM implicit formulation shows specific limitations in processes such as cutting, where large deformation results in a heavy mesh distortion. Powerful rezoning-remeshing algorithms strongly reduce the effects of such a limitation but the computational times are significantly increased and additional errors are introduced. Nodal Integration is a recently introduced technique that allows finite element method to provide more reliable results when mesh becomes distorted in traditional FEMs. Furthermore, volumetric locking phenomenon seems to be avoided by using this integration technique instead

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Liu, G. R., G. Y. Zhang, Y. Y. Wang, Z. H. Zhong, G. Y. Li, and X. Han. "A nodal integration technique for meshfree radial point interpolation method (NI-RPIM)." International Journal of Solids and Structures 44, no. 11-12 (2007): 3840–60. http://dx.doi.org/10.1016/j.ijsolstr.2006.10.025.

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Patel, Bhavana S. S., Babu K. S. Narayan, and Katta Venkataramana. "Strategy for refinement of nodal densities and integration cells in EFG technique." Structural Engineering and Mechanics 59, no. 5 (2016): 901–20. http://dx.doi.org/10.12989/sem.2016.59.5.901.

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Canales, Diego, Adrien Leygue, Francisco Chinesta, et al. "Efficient Updated-Lagrangian Simulations in Forming Processes." Key Engineering Materials 651-653 (July 2015): 1294–300. http://dx.doi.org/10.4028/www.scientific.net/kem.651-653.1294.

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A new efficient updated-Lagrangian strategy for numerical simulations of material forming processes is presented in this work. The basic ingredients are the in-plane-out-of-plane PGD-based decomposition and the use of a robust numerical integration technique (the Stabilized Conforming Nodal Integration). This strategy is of general purpose, although it is especially well suited for plateshape geometries. This paper is devoted to show the feasibility of the technique through some simple numerical examples.

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Horst, Vernon D., Hetal D. Patel, and Stan C. Hewlett. "Robotic Transhiatal Esophagectomy in a Community Hospital: Evolution of Technique." American Surgeon 82, no. 8 (2016): 730–32. http://dx.doi.org/10.1177/000313481608200832.

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Esophageal cancer is an uncommon but highly lethal disease. Surgical resection is the gold standard of treatment for early-stage disease. Traditional surgical approach entailed significant convalescence, hospital stay, and morbidity and mortality. Transhiatal esophagectomy (THE) involves blind dissection of the esophagus with minimal mediastinal lymphadenectomy. Integration of robotic surgery is an alternate platform for minimally invasive approach while maintaining safety and following oncologic principles. We review our technique for minimally invasive THE using robotic technology, demonstra

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Sun, Tingting, Peng Wang, Guanjun Zhang, and Yingbin Chai. "A Modified Radial Point Interpolation Method (M-RPIM) for Free Vibration Analysis of Two-Dimensional Solids." Mathematics 10, no. 16 (2022): 2889. http://dx.doi.org/10.3390/math10162889.

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The classical radial point interpolation method (RPIM) is a powerful meshfree numerical technique for engineering computation. In the original RPIM, the moving support domain for the quadrature point is usually employed for the field function approximation, but the local supports of the nodal shape functions are always not in alignment with the integration cells constructed for numerical integration. This misalignment can result in additional numerical integration error and lead to a loss in computation accuracy. In this work, a modified RPIM (M-RPIM) is proposed to address this issue. In the

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9

Zhou, J. X., J. B. Wen, H. Y. Zhang, and L. Zhang. "A nodal integration and post-processing technique based on Voronoi diagram for Galerkin meshless methods." Computer Methods in Applied Mechanics and Engineering 192, no. 35-36 (2003): 3831–43. http://dx.doi.org/10.1016/s0045-7825(03)00376-1.

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10

CUI, X. Y., S. LIN, and G. Y. LI. "NODAL INTEGRATION THIN PLATE FORMULATION USING LINEAR INTERPOLATION AND TRIANGULAR CELLS." International Journal of Computational Methods 08, no. 04 (2011): 813–24. http://dx.doi.org/10.1142/s0219876211002848.

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This paper presents a thin plate formulation with nodal integration for bending analysis using three-node triangular cells and linear interpolation functions. The formulation was based on the classic thin plate theory, in which only deflection field was required and dealt with as the field variables. They were assumed to be piecewisely linear and expressed using a set of three-node triangular cells. Based on each node, the integration domain has been further derived, where the curvature in the domain was computed using a gradient smoothing technique (GST). As a result, the curvature in each in

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11

Darbani, Mohsen. "The Meshfree Finite Element Method for Fluids with Large Deformations." Defect and Diffusion Forum 326-328 (April 2012): 176–80. http://dx.doi.org/10.4028/www.scientific.net/ddf.326-328.176.

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The shallow water equations (SWE) is often simulated by using Eulerian descriptions. These phenomena may give rise to strong gradients and lead to large distortion of grids meshes. Hence classical finite elements methods may fall in simulating such problems. In this paper we present a meshless method, based on the natural element nethod (NEM). In a geometrical domain of a cloud of nodes, NEM uses the Voronoi cells and then its dual, namely Delaunay triangulation. Its main advantage lies in shape function of the natural neighbour interpolation, such that the position of natural neighbours is en

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12

Du, Yi Xian, Jin Run Hu, and Yi Zhang. "An Adaptive Element-Free Galerkin Method Based on the Strain Energy Density." Advanced Materials Research 677 (March 2013): 225–29. http://dx.doi.org/10.4028/www.scientific.net/amr.677.225.

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In practical study, an adaptive procedure based on the gradient of the strain energy density is developed for element-free Galerkin method using moving least-squares (MLS) approximation and global Galerkin formulation require a background mesh for domain integration. It comprises nodal strain energy density and a local domain refinement technique. The numerical experiments in this paper show that this adaptive element-free Galerkin method is simple, effective and efficient.

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13

Belinha, J., J. M. C. Azevedo, L. M. J. S. Dinis, and R. M. Natal Jorge. "The Natural Neighbor Radial Point Interpolation Method in Computational Fracture Mechanics: A 2D Preliminary Study." International Journal of Computational Methods 14, no. 04 (2017): 1750045. http://dx.doi.org/10.1142/s0219876217500451.

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In this work, the natural neighbor radial point interpolation method (NNRPIM) is extended to the numeric analysis of crack propagation problems. Here, the advanced discretization meshless technique is combined with a linear elastic crack growth algorithm. The algorithm simulates the crack propagation by displacing iteratively the crack tip, which consequently requires a local remeshing. In each iteration, it is estimated the stress state in the crack tip and afterwards the direction of the crack propagation is obtained considering the maximum circumferential stress criterion.The required local

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14

Rathod, H. T., Md Shafiqul Islam, Bharath Rathod, and K. Sugantha Devi. "Finit element solution of Poisson Equation over Polygonal Domains using a novel auto mesh generation technique and an explicit integration scheme for linear convex quadrilaterals of cubic order Serendipity and Lagrange families." International Journal Of Engineering And Computer Science 7, no. 01 (2018): 23329–482. http://dx.doi.org/10.18535/ijecs/v7i1.01.

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This paper presents an explicit integration scheme to compute the stiffness matrix of twelve node and sixteen node linear convex quadrilateral finite elements of Serendipity and Lagrange families using an explicit integration scheme and discretisation of polygonal domain by such finite elements using a novel auto mesh generation technique, In finite element analysis, the boundary value problems governed by second order linear partial differential equations, the element stiffness matrices are expressed as integrals of the product of global derivatives over the linear convex quadrilateral region

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Poirier, D., and M. Salcudean. "On Numerical Methods Used in Mathematical Modeling of Phase Change in Liquid Metals." Journal of Heat Transfer 110, no. 3 (1988): 562–70. http://dx.doi.org/10.1115/1.3250529.

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The work presents an analysis and comparative evaluation of different methods used for the numerical solution of heat conduction with phase change problems. Both freezing (melting) water as well as solidifying liquid metal problems are examined. Emphasis is placed on weak formulations as they tend to be simple to program and easily implemented in existing single-phase codes. A new method based on the apparent capacity technique is proposed. In this technique an “effective capacity” is computed, based on the integration of temperature profiles over the nodal volumes. This method shows significa

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Jannesari, Zahra, and Mehdi Tatari. "A Meshfree Technique for Numerical Simulation of Reaction-Diffusion Systems in Developmental Biology." Advances in Applied Mathematics and Mechanics 9, no. 5 (2017): 1225–49. http://dx.doi.org/10.4208/aamm.2015.m1085.

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AbstractIn this work, element free Galerkin (EFG) method is posed for solving nonlinear, reaction-diffusion systems which are often employed in mathematical modeling in developmental biology. A predicator-corrector scheme is applied, to avoid directly solving of coupled nonlinear systems. The EFG method employs the moving least squares (MLS) approximation to construct shape functions. This method uses only a set of nodal points and a geometrical description of the body to discretize the governing equation. No mesh in the classical sense is needed. However a background mesh is used for integrat

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17

Tomashevskyi, Andrii. "NUMERICAL-ANALYTICAL TECHNIQUE FOR DETERMINING INTERNAL FORCES IN CROSS-SECTIONS OF BUILDING STRUCTURES." Collection of Scientific Works of the Ukrainian State University of Railway Transport, no. 211 (April 22, 2025): 101–12. https://doi.org/10.18664/1994-7852.211.2025.327330.

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This paper presents a numerical-analytical technique for determining internal forces in cross-sections of building structures that are modeled using finite element methods (FEM). The study focuses on structural components that, despite being represented by a set of finite elements of different dimensions (beam, plate, and volumetric elements), exhibit behavior similar to bar-like structures: pilons, short piers, lintels, deep beams, prefabricated floor slabs, wall panels, diaphragms, core walls.The methodology is based on summing nodal reactions from selected finite elements over a defined cro

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18

Vacu, Malizukiswe Vincent, Chunjiao Jiang, Haojie Sun, et al. "Nodal Injection of Agrobacterium tumefaciens for Gene Functional Analysis in Peanut: An Appraisal." Agronomy 15, no. 2 (2025): 384. https://doi.org/10.3390/agronomy15020384.

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Peanut is a key cash crop worldwide, yet the limited availability of functional genes and markers for breeding hinders further progress, largely due to the lack of an efficient and user-friendly transformation system. This study aimed to comprehensively evaluate the effectiveness of nodal agroinjection, a novel transformation technique we developed for peanut, by introducing the soybean cold-tolerance gene SCTF-1. Putative transgenic seeds and seedlings were screened using genomic DNA PCR, while transgene expression was analyzed via qRT-PCR and phenotypic assessments. Southern blotting confirm

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19

Naumowicz, Bartosz, and Kamil Kowalczyk. "Integration of Leveling and GNSS Data to Develop Relative Vertical Movements of the Earth’s Crust Using Hybrid Models." Applied Sciences 15, no. 15 (2025): 8224. https://doi.org/10.3390/app15158224.

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This study compared two approaches to integrating leveling and GNSS data to develop relative vertical movements of the Earth’s crust. Novel approaches were tested using transformation and hybrid grid adjustment. The results from double-leveling measurements in Poland were used as test data, and GNSS measurements developed using the PPP technique were used as Supplementary Data. The least squares method was used for the adjustment, and the isometric, conformal and affine methods were used for the transformation, with and without Hausbrandt correction. So-called pseudo-nodal points, i.e., points

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20

Ghoreishi, Farideh, and Elena Farahbakhsh-Tooli. "The Laguerre Collocation Method for Third Kind Integral Equations on Unbounded Domains." Computational Methods in Applied Mathematics 16, no. 2 (2016): 245–56. http://dx.doi.org/10.1515/cmam-2015-0038.

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AbstractThe aim of this paper is to approximate the solution of a class of integral equations of the third kind on an unbounded domain. For computing such approximation, the collocation method based on the generalized Laguerre abscissas is considered. In this method, the unknown function is interpolated at the nodal points ${\lbrace t_i\rbrace _{i=1}^{n+1}}$, where ${\lbrace t_i\rbrace _{i=1}^{n}}$ are the zeros of generalized Laguerre polynomials and ${t_{n+1}=4n}$. Then, the given equation is transformed to the Fredholm integral equation of the second kind. In the sequel, according to the in

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21

ALI, FARHAD, and M. A. KASSAR. "HYPERBOLIC CONSERVATION LAWS HAVING SOURCE TERMS AND DONOR CELL DIFFERENCING." International Journal of Modern Physics C 05, no. 03 (1994): 519–36. http://dx.doi.org/10.1142/s0129183194000702.

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Modifications in the integration of the source terms in hyperbolic conservation laws such as those governing combustion, detonation and radiative transport, with a first order upwind differencing technique are proposed and analysed. The von Neuman stability and phase error analysis for a linear scalar equation, together with a few test problems is presented in order to compare the performance of the resulting variants of the donor cell scheme. It is established that when the source term is integrated using higher order formulae, the resulting scheme gives better resolution and has better stabi

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22

Diachuk, Maksym, and Said M. Easa. "Using Inverse Dynamics Technique in Planning Autonomous Vehicle Speed Mode Considering Physical Constraints." Highlights of Vehicles 1, no. 1 (2023): 29–53. http://dx.doi.org/10.54175/hveh1010003.

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The study aims at improving the technique of planning the autonomous vehicles’ (AV) speed mode based on a kinematic model with physical restrictions. A mathematical model relates the derivatives of kinematic parameters with ones of the trajectory’s curvature. The inverse approach uses an expanded vehicle model considering the distribution of vertical reactions, wheels’ longitudinal reactions according to a drive type, and lateral forces ensuring motion stability. For analysis of the drive type, four options are proposed: front-wheel drive (FWD), rear-wheel drive (RWD), permanent engaged all-wh

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23

Binesh, S. M., and A. Gholampour. "Mesh-Free Lower Bound Limit Analysis." International Journal of Computational Methods 12, no. 01 (2015): 1350105. http://dx.doi.org/10.1142/s0219876213501053.

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A novel numerical approach is developed for computing lower bound limit load in soil mechanics problems under plane strain condition. In the presented technique, there is no need to mesh in the traditional sense, and a lower bound solution is obtained. To develop the lower bound optimization problem, a statically admissible stress field is constructed by Shepard's shape functions in conjunction with the stabilized nodal integration scheme. The linearized Mohr–Coulomb criterion is adopted to satisfy the plastic admissibility of the generated stress field. The obtained optimization problem with

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24

Oliveira, Carlos, Ana Pais, and Jorge Belinha. "Structural Optimisation of a Suspension Control Arm Using a Bi-Evolutionary Bone Remodelling Inspired Algorithm and the Radial Point Interpolation Method." Applied Sciences 15, no. 2 (2025): 502. https://doi.org/10.3390/app15020502.

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Today, topological structural optimisation is a valuable computational technique for designing mechanical components with optimal mass-to-stiffness ratios. Thus, this work aims to assess the performance of the Radial Point Interpolation Method (RPIM) when compared with the well-established Finite Element Method (FEM) within the context of a vehicle suspension control arm’s structural optimisation process. Additionally, another objective of this work is to propose an optimised design for the suspension control arm. Being a meshless method, RPIM allows one to discretise the problem’s domain with

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25

Truong, Thien Tich, Nha Thanh Nguyen, Dinh Kien Nguyen, and Vay Siu Lo. "A novel nodal integration technique for meshfree methods based on the Cartesian transformation approach in the analysis of curved shells." Engineering Analysis with Boundary Elements 163 (June 2024): 69–83. http://dx.doi.org/10.1016/j.enganabound.2024.02.018.

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26

Shao, Weidong, and Jun Li. "An Absorbing Boundary Condition Based on Perfectly Matched Layer Technique Combined with Discontinuous Galerkin Boltzmann Method for Low Mach Number Flow Noise." Journal of Theoretical and Computational Acoustics 26, no. 04 (2018): 1850011. http://dx.doi.org/10.1142/s2591728518500111.

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For flow noise simulations, the nonreflecting boundary condition (NRBC) is significant to confine the computational domain to a small domain. Lattice Boltzmann method (LBM) has advantages for noise because of its low dissipation, but is limited to the uniform grid. In this paper, an absorbing boundary condition (ABC) based on perfectly matched layer (PML) technique is introduced to LBM. Then PML stability is analyzed and a new strategy is developed to achieve robustness. Invoking the decoupling time integration, the underlying equation for streaming is solved with the nodal discontinuous Galer

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27

Shabana, A. "Dynamics of Inertia-Variant Flexible Systems Using Experimentally Identified Parameters." Journal of Mechanisms, Transmissions, and Automation in Design 108, no. 3 (1986): 358–66. http://dx.doi.org/10.1115/1.3258740.

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In this investigation modal parameters (frequency, damping, and mode shapes) which are determined experimentally using parameter estimation techniques are employed to simulate and predict the dynamic behavior of flexible multibody systems which consist of interconnected rigid and flexible components. The system differential equations of motion and algebraic constraint equations describing mechanical joints in the system are first identified using analytical techniques. Dynamic parameters such as mass, damping, and stiffness coefficients that appear in the system differential equations are then

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28

Isobe, Daigoro, Daisaku Imaizumi, Youichi Chikugo, and Shunsuke Sato. "A Parallel Solution Scheme for Inverse Dynamics and its Application in Feed-forward Control of Link Mechanisms." Journal of Robotics and Mechatronics 15, no. 1 (2003): 1–7. http://dx.doi.org/10.20965/jrm.2003.p0001.

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This paper describes a three-dimensional parallel solution scheme for inverse dynamics of link mechanisms, which has already been proposed for the two-dimensional case and applied in several in-plane motions. In this theory, the entire system is subdivided into finite elements and evaluated as a continuum. A single-link structure of a pin joint and a rigid bar is expressed using the Shifted Integration (SI) technique, which is conventionally used in finite element analyses of framed structures. This scheme calculates nodal forces by evaluating equations of motion in a matrix form, and thus inf

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Huang, Yuan Mao, and Yung-Shane Liaw. "The Impact of Sliding Blades in a Rotary Compressor." Journal of Mechanical Design 123, no. 4 (1999): 583–89. http://dx.doi.org/10.1115/1.1416150.

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The purpose of this study was to analyze the impact of blades with slots in a rotary compressor. The equations for contact forces were derived from Newton’s law. Updated moving Lagrangian descriptions with the hybrid technique and the Newark time integration method were used to determine the nodal displacement vectors. The finite element method was used to analyze the contact forces and the stresses of blades. The maximum blade contact force of 2.3 KN was larger than the maximum static force of 1 KN. The maximum blade impact Von Mises stress of 12.3 Mpa that occurred at the contact point was g

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30

Pígl, Jan, and Radoslav Cipín. "Dynamic Model of Medium Voltage Vacuum Circuit Breaker and Induction Motor for Switching Transients Simulation Using Clark Transformation." Energies 16, no. 3 (2023): 1020. http://dx.doi.org/10.3390/en16031020.

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A derivation of the dynamic model of a medium voltage vacuum circuit breaker and induction motor in space vectors in coordinates allow us to model switching transients in various dynamic states of the motor. In the case of the Clark transformation, the corresponding numerical integration technique can be selected including variable time-step integration techniques to avoid numerical instabilities due to the stiffness of the system. Assymetrical operations such as switching cause the power system to become unbalanced and the transformed equations , and are not uncoupled. Therefore, it is necess

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31

Kumar, Sushil, and Lionel Fourment. "Remapping Method for Transferring Data between Two Meshes Using a Modified Iterative SPR Approach for Parallel Resolution." Key Engineering Materials 504-506 (February 2012): 455–60. http://dx.doi.org/10.4028/www.scientific.net/kem.504-506.455.

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In metal forming simulations, the transfer of data from one mesh to another can be very often required such as, in ALE formulation at each time step or in Lagrangian formulation at each remeshing step. Its accuracy is one of the main concerns for researchers, since the accumulation of generated diffusion can lead to larger numerical error and create convergence problems. Since 1992, the Super convergent Patch Recovery method (SPR) introduced by Zienkiewicz & Zhu [1], was a major breakthrough for the methods to estimate errors in FE solution. Later, it has also been used to recover nodal fi

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32

Hidayat, Mas Irfan Purbawanto, Bambang Ariwahjoedi, and Setyamartana Parman. "A new meshless local B-spline basis functions-FD method for two-dimensional heat conduction problems." International Journal of Numerical Methods for Heat & Fluid Flow 25, no. 2 (2015): 225–51. http://dx.doi.org/10.1108/hff-05-2013-0169.

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Purpose – The purpose of this paper is to present a new approach of meshless local B-spline based finite difference (FD) method for solving two dimensional transient heat conduction problems. Design/methodology/approach – In the present method, any governing equations are discretized by B-spline approximation which is implemented in the spirit of FD technique using a local B-spline collocation scheme. The key aspect of the method is that any derivative is stated as neighbouring nodal values based on B-spline interpolants. The set of neighbouring nodes are allowed to be randomly distributed thu

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Mendonça, Flávio dos Ramos de Sousa, Wilber Humberto Vélez Gómez, and Artur Antônio de Almeida Portela. "A local meshless analysis of dynamics problems / Uma análise local desordenada dos problemas dinâmicos." Brazilian Journal of Development 7, no. 10 (2021): 96793–812. http://dx.doi.org/10.34117/bjdv7n10-134.

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This paper is concerned with new formulations of local meshfree numerical method, for the solution of dynamic problems in linear elasticity, Integrated Local Mesh Free (ILMF) method. The key attribute of local numerical methods is the use of a modeling paradigm based on a node-by-node calculation, to generate the rows of the global system of equations of the body discretization. In the local domain, assigned to each node of a discretization, the work theorem is kinematically formulated, leading thus to an equation of mechanical equilibrium of the local node, that is used by local meshfree meth

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I. Jurić-Grgić, M. Kurtović, and R. Lucić. "Numerical Analysis of Power System Electromechanical and Electromagnetic Transients based on the Finite Element Technique." Journal of Energy - Energija 59, no. 1-4 (2022): 38–45. http://dx.doi.org/10.37798/2010591-4276.

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This paper presents a novel technique for numerical analysis of electromagnetic transients and electromechanical oscillations in a power system. The proposed method is based on the finite element method (FEM). The finite element technique so far used for numerical analysis of continuum field problems here has been adopted to analyse electromagnetic and electromechanical transients in a power system. According to the finite element technique in the field problem, where the region of interest is divided into finite elements, in the proposed method power system is also divided into electric power

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Quarta, Leonardo, Donato Cannoletta, Francesco Pellegrino, et al. "The Role of Robot-Assisted, Imaging-Guided Surgery in Prostate Cancer Patients." Cancers 17, no. 9 (2025): 1401. https://doi.org/10.3390/cancers17091401.

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Emerging imaging-guided technologies, such as prostate-specific membrane antigen radioguided surgery (PSMA-RGS) and augmented reality (AR), could enhance the precision and efficacy of robot-assisted prostate cancer (PCa) surgical approaches, maximizing the surgeons’ ability to remove all cancer sites and thus patients’ outcomes. Sentinel node biopsy (SNB) represents an imaging-guided technique that could enhance nodal staging accuracy by leveraging lymphatic mapping with tracers. PSMA-RGS uses radiolabeled tracers with the aim to improve intraoperative lymph node metastases (LNMs) detection. S

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Boscheri, Walter, and Raphaël Loubère. "High Order Accurate Direct Arbitrary-Lagrangian-Eulerian ADER-MOOD Finite Volume Schemes for Non-Conservative Hyperbolic Systems with Stiff Source Terms." Communications in Computational Physics 21, no. 1 (2016): 271–312. http://dx.doi.org/10.4208/cicp.oa-2015-0024.

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AbstractIn this paper we present a 2D/3D high order accurate finite volume scheme in the context of direct Arbitrary-Lagrangian-Eulerian algorithms for general hyperbolic systems of partial differential equations with non-conservative products and stiff source terms. This scheme is constructed with a single stencil polynomial reconstruction operator, a one-step space-time ADER integration which is suitably designed for dealing even with stiff sources, a nodal solver with relaxation to determine the mesh motion, a path-conservative integration technique for the treatment of non-conservative pro

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Phuc, Ho Le Huy, Le Van Canh, and Phan Duc Hung. "A computational homogenization analysis of materials using the stabilized mesh-free method based on the radial basis functions." Journal of Science and Technology in Civil Engineering (STCE) - NUCE 14, no. 1 (2020): 65–76. http://dx.doi.org/10.31814/stce.nuce2020-14(1)-06.

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This study presents a novel application of mesh-free method using the smoothed-radial basis functions for the computational homogenization analysis of materials. The displacement field corresponding to the scattered nodes within the representative volume element (RVE) is split into two parts including mean term and fluctuation term, and then the fluctuation one is approximated using the integrated radial basis function (iRBF) method. Due to the use of the stabilized conforming nodal integration (SCNI) technique, the strain rate is smoothed at discreted nodes; therefore, all constrains in resul

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Olivier, Gerrit, Braeden Borg, Lawrence Trevor, et al. "Fleet’s Geode: A Breakthrough Sensor for Real-Time Ambient Seismic Noise Tomography over DtS-IoT." Sensors 22, no. 21 (2022): 8372. http://dx.doi.org/10.3390/s22218372.

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As most of the outcropping and shallow mineral deposits have been found, new technology is imperative to finding the hidden critical mineral deposits required to transition to renewable energy. One such new technique, called ambient seismic noise tomography, has shown promise in recent years as a low-cost, low environmental impact method that can image under cover and at depth. Wireless and compact nodal seismic technology has been instrumental to enable industry applications of ambient noise tomography, but these devices are designed for the active seismic reflection method and do not have th

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Belinha, Jorge. "Multiscale Analysis of Sandwich Beams with Polyurethane Foam Core: A Comparative Study of Finite Element Methods and Radial Point Interpolation Method." Materials 17, no. 18 (2024): 4466. http://dx.doi.org/10.3390/ma17184466.

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This study presents a comprehensive multiscale analysis of sandwich beams with a polyurethane foam (PUF) core, delivering a numerical comparison between finite element methods (FEMs) and a meshless method: the radial point interpolation method (RPIM). This work aims to combine RPIM with homogenisation techniques for multiscale analysis, being divided in two phases. In the first phase, bulk PUF material was modified by incorporating circular holes to create PUFs with varying volume fractions. Then, using a homogenisation technique coupled with FEM and four versions of RPIM, the homogenised mech

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Katib, Yousef, Steven Tisseverasinghe, Ian J. Gerard, et al. "Evaluating the Effects of Prostate Radiotherapy Intensified with Pelvic Nodal Radiotherapy and Androgen Deprivation Therapy on Myelosuppression: Single-Institution Experience." Current Oncology 31, no. 9 (2024): 5439–51. http://dx.doi.org/10.3390/curroncol31090402.

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Background: Prostate cancer (PCa) management commonly involves the utilization of prostate radiotherapy (PRT), pelvic nodal radiotherapy (PNRT), and androgen deprivation therapy (ADT). However, the potential association of these treatment modalities with bone marrow (BM) suppression remains inadequately reported in the existing literature. This study is designed to comprehensively evaluate the risk of myelosuppression associated with PRT, shedding light on an aspect that has been underrepresented in prior research. Materials and Methods: We conducted a retrospective analysis of 600 patients wi

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Chen, Cheng, Kai Yuan, Winnie Chiu-wing Chu, and Raymond Kai-yu Tong. "The Effects of 10 Hz and 20 Hz tACS in Network Integration and Segregation in Chronic Stroke: A Graph Theoretical fMRI Study." Brain Sciences 11, no. 3 (2021): 377. http://dx.doi.org/10.3390/brainsci11030377.

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Transcranial alternating current stimulation (tACS) has emerged as a promising technique to non-invasively modulate the endogenous oscillations in the human brain. Despite its clinical potential to be applied in routine rehabilitation therapies, the underlying modulation mechanism has not been thoroughly understood, especially for patients with neurological disorders, including stroke. In this study, we aimed to investigate the frequency-specific stimulation effect of tACS in chronic stroke. Thirteen chronic stroke patients underwent tACS intervention, while resting-state functional magnetic r

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Karpyn, A. B., N. G. Orlova, T. M. Rozhnova, and Yu L. Orlov. "Computer reconstruction of the interaction of genes associated with Angelman syndrome." Russian Journal of Telemedicine and E-Health 10, no. 4 (2024): 7–19. https://doi.org/10.29188/2712-9217-2024-10-4-7-19.

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Reconstruction of the structure of the gene network for a set of genes associated with the disease makes it possible to determine the effectiveness of diagnosis and therapy, and to study the possibilities of targeted drug effects on target genes. The study of Angelman syndrome, a hereditary disorder of the development of the nervous system by modern means of bioinformatics, involves the search for associated genes as targets for medicinal effects. Angelman syndrome is characterized by developmental delay, severe learning difficulties, ataxia, convulsive disorder, and changes in character and b

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Diachuk, Maksym, and Said M. Easa. "Improved Technique for Autonomous Vehicle Motion Planning Based on Integral Constraints and Sequential Optimization." Vehicles 4, no. 4 (2022): 1122–57. http://dx.doi.org/10.3390/vehicles4040060.

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The study is dedicated to elaborating and analyzing a technique for autonomous vehicle (AV) motion planning based on sequential trajectory and kinematics optimization. The proposed approach combines the finite element method (FEM) basics and nonlinear optimization with nonlinear constraints. There were five main innovative aspects introduced in the study. First, a 7-degree polynomial was used to improve the continuity of piecewise functions representing the motion curves, providing 4 degrees of freedom (DOF) in a node. This approach allows using the irregular grid for roadway segments, increas

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Choi, S. J., F. X. Giraldo, J. Kim, and S. Shin. "Verification of a non-hydrostatic dynamical core using the horizontal spectral element method and vertical finite difference method: 2-D aspects." Geoscientific Model Development 7, no. 6 (2014): 2717–31. http://dx.doi.org/10.5194/gmd-7-2717-2014.

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Abstract. The non-hydrostatic (NH) compressible Euler equations for dry atmosphere were solved in a simplified two-dimensional (2-D) slice framework employing a spectral element method (SEM) for the horizontal discretization and a finite difference method (FDM) for the vertical discretization. By using horizontal SEM, which decomposes the physical domain into smaller pieces with a small communication stencil, a high level of scalability can be achieved. By using vertical FDM, an easy method for coupling the dynamics and existing physics packages can be provided. The SEM uses high-order nodal b

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Jia, Xichun, Xuebing Jiang, Jun Huang, Shunchao Yu, and Bingjun Liu. "Slope Stability Analysis Based on the Explicit Smoothed Particle Finite Element Method." Sustainability 16, no. 2 (2024): 702. http://dx.doi.org/10.3390/su16020702.

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A landslide is a common natural disaster that causes environmental damage, casualties and economic losses, which seriously affects the sustainable development of society. In geomechanics, it is one of the largest deformation problems. Herein, the GPU-accelerated explicit smoothed particle finite element method (eSPFEM) for large deformation analysis in geomechanics was developed on the CUDA platform based on high-performance computing using a self-designed eSPFEM program code. The eSPFEM combines the strain smoothing nodal integration techniques found in the particle finite element method (PFE

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Bazhenov, V. G., A. I. Kibets, A. V. Demareva, and Yu A. Kalinina. "ALGORITHM FOR CONSERVATIVE SMOOTHING OF STRESS WAVES IN FEM." Problems of Strength and Plasticity 84, no. 3 (2022): 331–42. http://dx.doi.org/10.32326/1814-9146-2022-84-3-331-342.

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Three-dimensional geometrically and physically nonlinear problems of nonstationary deformation of structures are considered. The defining system of equations is formulated in Lagrange variables. The equation of motion is derived from the balance of virtual work capacities. The elastic-plastic deformation of structural materials is described by the relations of the flow theory with isotropic hardening. The solution of the problem is based on the moment scheme of the finite element method. The discretization of the problem by spatial variables is carried out by eight nodal finite elements with m

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Pi, Jun, and Xi Peng Xu. "Design of Integration Tool-Holder System for Ultrasonic Vibration Machining Using Contactless Inductive Power Transfer." Advanced Materials Research 69-70 (May 2009): 520–24. http://dx.doi.org/10.4028/www.scientific.net/amr.69-70.520.

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Contactless inductive power transfer system with conventional inductive technology was studied and a design method was presented after applying it to ultrasonic vibration machining systems. The compensation techniques are used for piezoelectricity transducer. Nodal plane support of transducer is researched and models of different structures for nodal plane support are got. Influence of rotary precision for different support due to centrifugal force and displacement vibration of nodal plane support to toolholder are analyzed. The system integrated with ultrasonic-vibration toolholder based on c

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Carpenter, Chris. "Rate Transient Analysis Transforms Exploitation of Mature and Tight Fields." Journal of Petroleum Technology 77, no. 01 (2025): 64–67. https://doi.org/10.2118/0125-0064-jpt.

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_ This article, written by JPT Technology Editor Chris Carpenter, contains highlights of paper IPTC 23731, “Unleashing the Potential of Rate Transient Analysis: Transforming the Exploitation of Mature and Tight Fields, 40-Year Mature Field Case Study,” by Amr Gharieb Ali, Apache; Mohamed A. Gabry, SPE, University of Houston; and Ahmed Algarhy, SPE, Marietta College, et al. The paper has not been peer reviewed. Copyright 2024 International Petroleum Technology Conference. _ The objective of this paper is to address the power of old, cheap data integration with the rate transient analysis (RTA)

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Thai, Chien H., and H. Nguyen-Xuan. "A Moving Kriging Interpolation Meshfree Method Based on Naturally Stabilized Nodal Integration Scheme for Plate Analysis." International Journal of Computational Methods 16, no. 04 (2019): 1850100. http://dx.doi.org/10.1142/s0219876218501001.

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A moving Kriging interpolation (MKI) meshfree method based on naturally stabilized nodal integration (NSNI) scheme is presented to study static, free vibration and buckling behaviors of isotropic Reissner–Mindlin plates. Gradient strains are directly computed at nodes similar to the direct nodal integration (DNI). Outstanding features of the current approach are to alleviate instability solutions in the DNI and to decrease computational cost significantly when compared with the traditional high-order Gauss quadrature scheme. The NSNI is a naturally implicit gradient expansion and does not empl

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Gianto, Rudy, and Purwoharjono Purwoharjono. "A new method to incorporate three-phase power transformer model into distribution system load flow analysis." International Journal of Applied Power Engineering (IJAPE) 10, no. 3 (2021): 262. http://dx.doi.org/10.11591/ijape.v10.i3.pp262-270.

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This paper proposes a new and simple method to incorporate three-phase power transformer model into distribution system load flow (DSLF) analysis. The objective of the present work is to find a robust and efficient technique for modeling and integrating power transformer in the DSLF analysis. The proposed transformer model is derived based on nodal admittance matrix and formulated by using the symmetrical component theory. Load flow formulation in terms of branch currents and nodal voltages is also proposed in this paper to enable integrating the model into the DSLF analysis. Singularity that

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