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An Eulerian–Lagrangian method of fundamental solutions for the advection–diffusion equation with time dependent coefficients Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-05-08 Carlos Eduardo Rambalducci Dalla, Wellington Betencurte da Silva, Julio Cesar Sampaio Dutra, Marcelo José Colaço
This paper investigates the application of the Eulerian–Lagrangian method of fundamental solutions (ELMFS), a truly meshless method that couples the Euler–Lagrange Method (ELM) with the time-dependent method of fundamental solution (MFS). It is applied to solve the transient advection–diffusion equation with transport coefficients exhibiting constant and temporally exponential behaviors. The stability
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Convolution quadrature time-domain boundary element method for antiplane anisotropic viscoelastic wave propagation Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-05-03 T. Saitoh
This paper presents a Convolution Quadrature Time-Domain Boundary Element Method (CQBEM) for antiplane anisotropic viscoelastodynamics. The proposed CQBEM formulation employs the standard linear viscoelastic model and the fundamental solution developed by Wang and Achenbach for expressing viscoelastic and anisotropic properties, respectively. This fundamental solution, which involves integration over
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Generalized Finite Integration Method with Laplace transform for European option pricing under Black–Scholes and Heston models Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-05-03 Y. Ma, C.Z. Shi, Y.C. Hon
In this paper, we combine a recently developed Generalized Finite Integration Method (GFIM) with Laplace transform technique for pricing options under the Black Scholes model and Heston model respectively. Instead of using traditional time-stepping process, we first perform Laplace transform on the governing equation and boundary conditions to remove the temporal derivatives. The Generalized Finite
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A SBFEM formula for the mixed-order hexahedron interpolation based on serendipity elements Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-05-02 Xiupeng Nie, Degao Zou, Kai Chen, Xianjing Kong, Guoyang Yi
The hexahedron elements have been widely used in theoretical research and engineering applications because of their simple formulation and fine analytical performance. In this paper, a flexible mixed-order hexahedron interpolation is proposed based on the SBFEM theory, which is summarized as follows: (1) The interpolation functions are constructed for boundary surfaces by introducing the “Serendipity
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Boundary element method for bending-extension coupling shear deformable laminated composite plates with multiple stiffeners Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-05-02 Chia-Wen Hsu, Christian Mittelstedt, Chyanbin Hwu
In general, the laminated composite plates and stiffeners may exhibit the bending-extension coupling effect with the transverse shear deformations significantly induced. In this paper, for the first time we develop the associated boundary element method (BEM) for bending-extension coupling shear deformable laminated composite plates with multiple beams attached as stiffeners. Based upon the first order
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An improved algorithm for Finite Particle Method considering Lagrange-type remainder Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-05-02 Yang Yang, Yaoyu Li, Fei Xu
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Boundary Elements and other mesh reduction methods for Finance, Economics, Probability and Statistics Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-05-01 Luca Vincenzo Ballestra, Chiara Guardasoni
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An efficient unstructured quadrilateral-dominated surface mesh generation method for arbitrary geometry with tiny features or crack defects in DiBFM Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-30 Baotao Chi, Zhichao Jia, Sizhe Niu, Wei Yuan, Qianjian Guo, Yaoming Zhang
An efficient unstructured quadrilateral-dominated surface mesh generation algorithm is presented to generate high-quality surface elements for arbitrary geometry with tiny features or crack defects. For complex entities with proximity features, a novel type of meshing template has been proposed to solve the problem of entity boundary fitting of the outside-in grid-based method. The algorithm also works
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A multi-layer SPH method to simulate water-soil coupling interaction-based on a new wall boundary model Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-29 Fang He, Yuxin Chen, Liqin Wang, Shuzhao Li, Can Huang
Based on the smoothed particle hydrodynamics (SPH), a multi-layer particle method is established to accurately simulate the deformation and motion of the water-soil coupling interaction, considering the seepage process and the variation of the volume fractions of water and soil. The weakly compressible model is used for water, while the Drucker-Prager elastoplastic constitutive model is employed for
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A meshfree method for the nonlinear KdV equation using stabilized collocation method and gradient reproducing kernel approximations Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-29 Zhiyuan Xue, Yijia Liu, Lihua Wang, Magd Abdel Wahab
A gradient reproducing kernel based stabilized collocation method (GRKSCM) to numerically solve complicated nonlinear Korteweg-de Vries (KdV) equation is proposed in this paper. The acquisition of GRK through high-order consistency conditions reduces the complexity of RK derivative operations and remarkably improves the effectiveness of the proposed method by directly forming GRK approximations. Owing
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Time-dependent nonlinear collocation method and stability analysis for natural convection problems Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-23 Judy P. Yang, Yu-Ruei Chen
A time-dependent nonlinear framework based on meshfree collocation is proposed for solving natural convection problems involving multi-phases, in which the third-order Runge-Kutta method is introduced for temporal discretization while the two-step Newton-Raphson method is adopted for nonlinear iteration. To reduce the number of field variables, the common stream function-velocity equation is not directly
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Development of integrated radial basis function Kriging interpolation for linear and nonlinear parabolic integro-differential equations Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-22 Ali Ebrahimijahan, Yadollah Ordokhani, Mohsen Razzaghi
In this study, we explore linear and nonlinear parabolic integro-differential equations in one and two dimensions. We employ a semi-implicit scheme to discretize the temporal variable and discretize the spatial variable using an integrated radial basis function based on the moving Kriging interpolation (MKI) method. Unlike the global integrated radial basis function (IRBF) method, our proposed approach
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A coupled SBFEM-IBIEM method for the solution of wave scattering by a hill with fissures under SV waves Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-22 Hai Zhang, Ziqi Song, Dai Wang, Zhongxian Liu, Zhifeng Dai
A coupled SBFEM (Scaled Boundary Finite Element Method)-IBIEM (Indirect Boundary Integral Equation Method) method is developed to investigate the wave scattering by a hill with fissures under SV waves, and some influence factors are discussed in detail. The results show that the larger the fissure, the more obvious the amplification effect, but the peak surface displacement of the hill is not necessarily
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Maximizing the projection/minimizing the mass gap to choose optimal source points in the MFS for 2D and 3D Laplace equations Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-19 Chein-Shan Liu, Chung-Lun Kuo
Two novel methods are developed to generate the optimal method of fundamental solutions (MFS), of which the offset to locate source points from the domain’s boundary is optimized. First the maximal projection method (MPM), together with a new idea of a simple substitution function being inserted into the derived merit function, can choose a better offset; then a better numerical solution is achieved
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A fully explicit incompressible smoothed particle hydrodynamics method for simulating 2-D electrohydrodynamic multi-phase flows based on leaky dielectric model Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-19 Mehran Vakilha, Joel R. Karp, Manuel Hopp-Hirschler, Somchai Wongwises, Mostafa S. Shadloo
This paper presents a fully explicit two-dimensional electrohydrodynamics (EHD) numerical model, which scrutinizes multiphase flows’ dynamics and interactions when exposed to an external electric field. The electrostatic phenomena are interconnected with hydrodynamics through the resolution of the Maxwell’s equations, which are simplified along with its boundary conditions based on the leaky dielectric
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Quasi-consistent efficient meshfree thin shell formulation with naturally stabilized enforced essential boundary conditions Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-17 Junchao Wu, Yangtao Xu, Bin Xu, Syed Humayun Basha
This research proposed an efficient and quasi-consistent meshfree thin shell formulation with naturally stabilized enforcement of essential boundary conditions. Within the framework of the Hu–Washizu variational principle, a mixed formulation of displacements, strains and stresses is employed in this approach, where the displacements are discretized using meshfree shape functions, and the strains and
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Multi-material topology optimization for additive manufacturing considering maximum build volume and assembly process Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-15 Yukun Feng, Takayuki Yamada
While topology optimization is promising for additive manufacturing structures, challenges arise in designing multi-material assemblies. The size often surpasses additive manufacturing build volumes, hindering successful manufacturing. Additionally, intricate topology-optimized structures complicate the assembly and decomposition of multiple material components. Addressing the aforementioned issues
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Galerkin finite block method with Lagrange multipliers method for cracked solids in functionally graded materials Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-12 Y.R. Zhou, W. Huang, J.J. Yang, P.H. Wen
This paper presents the application of the Galerkin Finite Block Method (GFBM) to address cracked solids associated with Functionally Graded Materials (FGMs), leveraging the foundational principles of the Galerkin method. The equilibrium equations pertinent to FGMs are articulated in their weak form. Employing Chebyshev polynomials as shape functions, the GFBM integrates mapping techniques to accommodate
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An efficient numerical algorithm to solve steady state heat conduction problems with local uncertainty Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-12 Xiaoqi Guo, Haitian Yang, Yiqian He
A computational cost-effective algorithm is proposed to solve steady-state heat conduction problems with uncertain thermal conductivity which appears locally at some part of structures. Such local uncertainty is assumed to be induced by a crack or notch, and modelled by probability or interval models. The deterministic steady-state heat conduction problem is formulated by the Scaled Boundary Finite
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Retraction notice to “Utilization of machine learning and neural networks to optimize the enclosure angle, magnetic field, and radiation parameter for mixed convection of hybrid nanofluid flow next to assess environmental impact” [Engineering Analysis with Boundary Elements 146 (2023) 252-262] Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-11 Tao Hai, Hayder A. Dhahad, Masood Ashraf Ali, Vishal Goyal, Sattam Fahad Almojil, Abdulaziz Ibrahim Almohana, Abdulrhman Fahmi Alali, Khaled Twfiq Almoalimi, Farah Qasim Ahmed Alyousuf
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Retraction notice to “Analyzing geometric parameters in inclined enclosures filled with magnetic nanofluid using artificial neural networks” [Engineering Analysis with Boundary Elements 146 (2023) 555-568] Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-11 Tao Hai, Sameer Alsharif, Masood Ashraf Ali, Pradeep Kumar Singh, As'ad Alizadeh
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Topology optimization of orthotropic multi-material structures with length-scale control based on element-free Galerkin method Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-11 Jianping Zhang, Shixiong Wu, Haiming Zhang, Lei Zhao, Zhijian Zuo, Shuying Wu
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Numerical simulation of coupled Klein–Gordon–Schrödinger equations: RBF partition of unity Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-10 Babak Azarnavid, Mojtaba Fardi, Soheila Mohammadi
The coupled Klein–Gordon–Schrödinger equations have significant implications in quantum field theory, particle physics, cosmology, and nonlinear dynamics. In this study, we propose an efficient method for numerically simulating this system. The proposed approach involves employing the radial basis function partition of unity for spatial discretization. This method utilizes scaled Lagrange basis functions
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Data-driven prediction of aerodynamic noise of transonic buffeting over an airfoil Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-09 Qiao Zhang, Xu Wang, Dangguo Yang, Weiwei Zhang
Accurately predicting buffet frequency and aerodynamic noise level is crucial in transonic buffet noise reduction studies. In this study, the Random Forest (RF) algorithm is employed to predict the Power Spectral Density (PSD) and Overall Sound Pressure Level (OASPL) distribution over the supercritical airfoil RAE2822. The study indicates that the RF algorithm exhibits greater advantages over the Multi-Layer
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A particle-based computational framework for damage assessment in a concrete dam-reservoir system under seismic loading Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-09 Tapan Jana, Amit Shaw, L.S. Ramachandra
A sudden failure of a concrete gravity dam can cause a huge economic loss and untold human tragedy. An earthquake of high magnitude is one of the reasons for this failure. Numerical simulation provides significant insight into dam fracture and damage evolution. Here, a particle-based computational framework is developed to investigate the failure of a concrete gravity dam-reservoir system exposed to
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Addressing arbitrary body forces in 2D elasticity coupling the Radial Basis Integration Method with boundary elements Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-08 A. Narváez, J. Useche
A boundary-domain integral formulation inevitably arises when the boundary element method (BEM) is applied for solving the differential equation that governs linear elastostatic problems with body forces. Although the domain integrals introduced by the body forces can be evaluated using internal cells this destroys the boundary-only meshing feature of BEM and makes the integration processes inefficient
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A meshless method based on the generalized finite difference method for 2D and 3D anisotropic elliptic interface problems Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-08 Ruiqing Mu, Lina Song, Qiushuo Qin
In this paper, a meshless method based on the generalized finite difference method is proposed for the 2D and 3D anisotropic elliptic interface problem. The method is convenient to deal with the mixed derivatives brought by the anisotropy, as well as the 2D and 3D complex geometries of the interfaces. Moreover, the treatment of different interfaces only needs to change their level set functions. Several
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Essential insights into particle interfaces: From arbitrary switching FEM-PD coupling to effective mitigating surface effects Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-04 Jinwei Guan, Li Guo
The issue of coupling the finite element method (FEM) and peridynamics (PD) is a critical concern of widespread attention in PD. In this paper, some essential insights into particle interfaces are presented to address the challenges of coupling PD with FEM and to mitigate surface effects. The interaction consistency between FEM and PD is demonstrated, and then a mechanical invariance of interactions
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A stable Generalized Finite Element Method for stokes interface problems Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-04 Haodi Zhu, Jianping Zhao, Yanren Hou
The Generalized Finite Element Method (GFEM) is developed from the Partition of the Unity Method (PUM), which expands the standard finite element space by using non-polynomial function spaces called the enrichment spaces. GFEM has been successfully applied to various problems, but it still has some drawbacks. It lacks robustness in adjusting meshes when solving interface problems, and the condition
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Interface crack analysis in 2D bounded dissimilar materials using an enriched physics-informed neural networks Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-03 Yan Gu, Longtao Xie, Wenzhen Qu, Shengdong Zhao
This study explores the application of physics-informed neural networks (PINNs) to analyze interface crack problems within the context of elastic bimaterial fracture mechanics. Bimaterial interface cracks exhibit a distinct behavior compared to cracks in homogeneous materials, and this behavior often involves oscillatory phenomena that can pose challenges in numerical modeling. By employing neural
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A parallel algorithm for three-dimensional numerical manifold elements generation Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-03 Xiongwei Yi, Fei Tan, Defu Tong, Yuyong Jiao
Numerical Manifold Method (NMM) has gained widespread application in engineering practice due to its capacity to effectively address both continuous and discontinuous problems in a unified framework. With the advancement of 3D-NMM, there remains a deficiency in ready-made preprocessing tools. Hence, the generation of 3D manifold elements (MEs) is the primary prerequisite for 3D-NMM. In this study,
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Surface crack effect on frequency and vibration mode switching of solar-powered aerospace structures Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-03 Hulun Guo, Jinjin Yuan, Krzysztof Kamil Żur
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Three-dimensional hybrid SAFE-BEM for elastic guided-wave scattering in a plate with finite width Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-04-01 Taizo Maruyama, Kosuke Kanda, Sumika Yamada
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The pre-trained explainable deep learning model with stacked denoising autoencoders for slope stability analysis Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-30 Shan Lin, Miao Dong, Xitailang Cao, Zenglong Liang, Hongwei Guo, Hong Zheng
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On the free and forced vibrations of porous GPL reinforced composite conical panels using a Legendre-Ritz method Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-28 Mostafa Mirzaei, Reyhaneh Rabiei
An analysis is conducted in the present investigation to study the free and forced vibration characteristics of composite laminated conical panels. It is assumed that composite panel is reinforced with graphene platelets (GPLs) where the amount of GPLs may be different between the layers which results in a piecewise functionally graded media. In addition, the effect of uniform and non-uniform porosities
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A hybrid data-driven framework for loss prediction of MCA airfoils Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-28 A. Zeinalzadeh, G. Hosseinzadeh Kamakoli, MR. Pakatchian
The Multi Circular Arc airfoils family has gained significant popularity in axial compressor design due to its capability to achieve higher pressure ratios with lower losses compared to conventional NACA airfoils. However, modeling their aerodynamic performance for transonic axial compressors remains a challenging task. This research addresses this issue by developing a data driven model for Multi
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Estimation of the fuel mixing of annular extruded fuel multi-jets in cavity flame holder at the supersonic combustion chamber via predictive surrogate model Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-27 Dechen Wei, Yuanyuan Jiao, Yukun Fan
Cavity flame holder is a well-organized method for fuel mixing inside the combustion chamber of supersonic vehicles. In this study, the combined machine learning technique of proper orthogonal decomposition (POD) combined with Long Short-Term Memory network (LSTM) is used for prediction of fuel jet penetration inside the cavity flame holder at free stream Mach=2.2 is investigated. Computational Fluid
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Plane strain problem of an elastic matrix containing multiple Gurtin–Murdoch material surfaces along straight segments Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-26 Rohit Satish Patil, Sofia G. Mogilevskaya
This paper presents the study of the plane strain problem of an infinite isotropic elastic medium subjected to far-field load and containing multiple Gurtin–Murdoch material surfaces located along straight segments. Each material segment represents a membrane of vanishing thickness characterized by its own elastic stiffness and residual surface tension. The governing equations, the jump conditions
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A linear smoothed quadratic finite element for buckling analysis of laminated composite plates Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-23 Qing Li, Shenshen Chen
In this paper, a linear smoothing scheme over eight-node Reissner-Mindlin plate element under the framework of the CS-FEM is employed to buckling analysis of laminated composite plates based on the first-order shear deformation theory. The modified stain matrix is computed by the divergence theorem between the nodal shape functions and their derivatives using Taylor's expansion. Isoparametric mapping
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Analysis and application of MLPG7 for diffusion equations with nonlinear reaction terms Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-20 Fatemeh Taghipoor, Ahmad Shirzadi, Hossein Hosseinzadeh
This paper extends the recently proposed variant of meshless local Petrov Galerkin (MLPG) method, i.e., MLPG7, for solving time dependent PDEs. As test function, the method uses a novel modification of fundamental solution of Laplace operator that not only the test function itself but also its derivative vanish on boundary of local subdomains. Therefore, more stable local integral equations are obtained
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Motor magnetic field analysis using the edge-based smooth finite element method (ES-FEM) Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-20 R.Q. Li, M.D. Peng, Z.C. He, G.B. Chang, E.L. Zhou
This paper proposes a smooth finite element method (S-FEM) for efficient and accurate analysis of motor magnetic fields. The edge-based smooth finite element (ES-FEM) formulations are derived for two-dimensional triangular element meshes suitable for multi-material motor structures, and then a magnetic flux density calculation method appropriate for S-FEM to calculate nonlinear electromagnetic fields
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Free vibration analysis of thin-walled folded structures employing Galerkin-based RKPM and stabilized nodal integration methods Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-19 Satoyuki Tanaka, Shion Ejima, Hanlin Wang, Shota Sadamoto
A Galerkin-based meshfree flat shell formulation is chosen to study natural frequency and eigenmode of thin-walled folded structures. Reproducing kernel is used as the interpolation function. Stabilized conforming nodal integration is employed for numerical integration of the weak form. Additionally, sub-domain stabilized conforming integration is adopted for the folded region to integrate the stiffness
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Special Issue on “Meshless computational approach to linear and non-linear mechanics of aerospace composite/intelligent structures” Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-19 Krzysztof Kamil Żur, Hulun Guo
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A versatile sharp boundary ghost-node method for moving rigid boundary fluid flow with meshless nodes distribution Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-19 Tongsheng Wang, Guang Xi, Zhongguo Sun, Zhu Huang
A sharp boundary ghost-node method (GNM) is developed to solve the moving boundary fluid flow in a meshless local radial basis function (LRBF) framework. The background Euler fluid node is the mesh-less scattered node based on LRBF rather than the conventional Cartesian grid or unstructured mesh. The present approach (LRBF-GNM) can flexibly treat the steady boundary with the body-fitted nodes and tackle
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Optical solitons based on N-coupled nonlinear Schrödinger equations and rational RBF partition of unity approach Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-19 Mostafa Abbaszadeh, Mahmoud A. Zaky, Ahmed S. Hendy, Mehdi Dehghan
Recently, several numerical methods based on the radial basis functions have been applied to solving differential equations. Many researchers have employed the radial basis functions collocation technique and its improvements to get more accurate and efficient numerical solutions. The Schrödinger equations have several applications in the optic and laser. Accordingly, several numerical procedures have
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The direct RBF-based partition of unity method for solving nonlinear fractional parabolic equations Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-14 Banafsheh Raeisi, Mohammadreza Ahmadi Darani, Mojtaba Fardi
This paper aims to analyze a novel localized radial basis function method known as the ’direct RBF-based partition of unity method’ for solving nonlinear fractional parabolic equations. In the proposed method, the weight functions are not operated on by the differential operators, resulting in a decrease in computational cost and algorithmic complexity. Another advantage of the direct RBF-based partition
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Dynamic response of semi-cylindrical depression, cylindrical cavity and type-III crack to SH wave in half-space anisotropic media Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-13 Debao Guo, Zailin Yang, Jinlai Bian, Yunqiu Song, Yong Yang
In this study, the anti-plane dynamic response of an elastic half-space anisotropic medium containing surface semi-cylindrical depressions and internal cylindrical cavity and type-III crack is solved analytically. The wave function expansion method, the complex function method and the Green's function method can be used to effectively construct the free wave field equation and the scattered wave field
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Modeling groundwater flow with random hydraulic conductivity using radial basis function partition of unity method Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-12 Fouzia Shile, El Hassan Ben-Ahmed, Mohamed Sadik
Simulating groundwater flows in heterogeneous aquifers is one of the most widely studied problems. The heterogeneity is modeled through random hydraulic conductivity fields log-normally distributed. In this paper, we aim to generate the realization of the log-normal hydraulic conductivity by summing up a finite number of random periodic modes with the Kraichnan algorithm. To address Neumann conditions
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A non-iterative boundary element formulation for nonlinear viscoelasticity Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-12 Ahmet Arda Akay, Ercan Gürses, Serdar Göktepe
In this study, we propose a non-iterative boundary element method (BEM) of highly nonlinear viscoelasticity in time domain. The computationally attractive iteration-free algorithmic structure is achieved by the linearization of a power-type evolution equation. Supplementing the consistent linearization about every solution step with a semi-implicit update scheme, we obtain a robust boundary element
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Numerical investigation of high-dimensional option pricing PDEs by utilizing a hybrid radial basis function - finite difference procedure Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-11 Nawzad M. Ahmed, Fazlollah Soleymani, Rostam K. Saeed
The target of this research is to resolve high-dimensional partial differential equations (PDEs) for multi-asset options, modeled as parabolic time-dependent PDEs. We present a hybrid radial basis function - finite difference (RBF-FD) solver, which combines the advantages of Gaussian and multiquadric functions. Additionally, we employ the Krylov subspace method on the resulting system of ordinary differential
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Learning based numerical methods for acoustic frequency-domain simulation with high frequency Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-10 Tingyue Li, Yu Chen, Yun Miao, Dingjiong Ma
Acoustic simulation in frequency-domain is related to solving Helmholtz equations, which is still highly challenging at high frequency with complex geometries. In this paper, a learning based numerical method (LbNM) is proposed for general boundary value problems of Helmholtz equation. By using Tikhonov regularization, the solution operator is stably learned from various data solutions especially fundamental
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Analyzing non-isothermal phase transition problems with natural convection using peridynamic differential operator Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-08 Baoliang Zhou, Zhiyuan Li, Yanzhou Lu, Dan Huang
In this study, a developed model for non-isothermal phase transition with natural convection is proposed by using peridynamic differential operator (PDDO). The dimensionless governing equations of heat source approach and vorticity-stream function approach are reconstructed into the non-local integral form. The Euler forward difference is used for time integration. The application of the developed
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A batch-filling method of VIE-MoM matrix for inhomogeneous dielectric target with full- and half-SWG function Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-07 Ruqi Xiao, Wen Geyi, Guo Yang, Wen Wu
A batch-filling method (BFM) for generating the volume-integral-equation-methods of moment (VIE-MoM) matrix for the scattering of inhomogeneous objects by using the full- and half-SWG basis function is proposed. The BFM is based on the summation of contributions of all integrals over tetrahedrons and boundary faces, and the contributions are arranged into a column vector that represents the interactions
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Flow regime classification using various dimensionality reduction methods and AutoML Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-07 Umair Khan, William Pao, Karl Ezra Pilario, Nabihah Sallih
Accurate identification of flow regimes is paramount in several industries, especially in chemical and hydrocarbon sectors. This paper describes a comprehensive data-driven workflow for flow regime identification. The workflow encompasses: i) the collection of dynamic pressure signals using an experimentally verified numerical two-phase flow model for three different flow regimes: stratified, slug
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A novel approach for estimating blood flow dynamics factors of eccentric stenotic arteries based on ML Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-07 Yang Li, Detao Wan, Dean Hu, Changming Li
Reliable and rapid estimation of blood flow dynamics factors in eccentric stenotic arteries could significantly improve clinical treatments. Numerical simulation methods such as FSI and CFD are widely used to investigate blood flow conditions. However, both FSI and CFD are computationally expensive and not suitable for large-scale research. This work proposes an effective approach for estimating the
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Cross element integration for superconvergent frequency computation with cubic isogeometric formulation Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-07 Ao Shen, Zhuangjing Sun, Songyang Hou, Dongdong Wang
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Material point method simulation approach to hydraulic fracturing in porous medium Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-07 Fan Sun, Dongsheng Liu, Guilin Wang, Cong Cao, Song He, Xun Jiang, Siyu Gong
Two primary challenges in simulating hydraulic fracturing are the hydro–mechanical coupling and fracture propagation. The material point method (MPM) has advantages over conventional numerical methods by combining the advantages of particle- and mesh-based approaches in handling highly non-linear hydraulic fracturing problems. However, as MPM is primarily utilized for continuous solid simulations,
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An SPIM-FEM adapting coupling approach for the analysis of quasi-brittle media Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-06 Samir Silva Saliba, Lapo Gori, Roque Luiz da Silva Pitangueira
This paper presents an adaptive coupling approach between meshless Smoothed Point Interpolation Methods (SPIMs) and the Finite Element Method (FEM) for the physically nonlinear analysis of quasi-brittle media. The nonlinear behaviour is represented by scalar damage and smeared-crack models. In the proposed adaptive coupling approach, the domain is initially discretised with a relatively coarse FEM
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A novel reduced basis method for adjoint sensitivity analysis of dynamic topology optimization Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-06 Shuhao Li, Jichao Yin, Xinchao Jiang, Yaya Zhang, Hu Wang
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Numerical study of two operator splitting localized radial basis function method for Allen–Cahn problem Eng. Anal. Bound. Elem. (IF 3.3) Pub Date : 2024-03-05 Mahdi Emamjomeh, Mohammad Nabati, Abdollah Dinmohammadi
In this article, we will explore the numerical simulation of the Allen–Cahn equation and provide effective combination methods to efficiently solve it. The Allen–Cahn equation, an equation of mathematical physics, represents a singularly perturbed reaction–diffusion phenomenon that elucidates the phase separation mechanism occurring in multi-component alloy systems. Finding a numerical solution for