Engineering Analysis with Boundary Elements最新文献_第2页

Fourth order RBF-HFD method for elliptic PDE problems with optimal shape parameter selection : Sixth order convergence and improved accuracy 椭圆型PDE最优形状参数选择的四阶RBF-HFD方法：六阶收敛和精度提高

IF 4.1 2区工程技术

Engineering Analysis with Boundary Elements Pub Date : 2025-10-03 DOI: 10.1016/j.enganabound.2025.106489

Sumit Mishra, Chirala Satyanarayana, Manoj Kumar Yadav

{"title":"Fourth order RBF-HFD method for elliptic PDE problems with optimal shape parameter selection : Sixth order convergence and improved accuracy","authors":"Sumit Mishra, Chirala Satyanarayana, Manoj Kumar Yadav","doi":"10.1016/j.enganabound.2025.106489","DOIUrl":"10.1016/j.enganabound.2025.106489","url":null,"abstract":"<div><div>We develop fourth order radial basis function (RBF) based compact FD type methods for solving boundary value problems on elliptic PDEs in multi-dimensions. Traditional compact FD methods are derived using polynomial basis functions in Hermite interpolation based finite difference (HFD) method. The proposed method depends on inverse multiquadric (IMQ) RBFs with a free shape parameter. Analytical formulas for approximating first and second derivatives along with expressions for their local truncation errors are obtained in terms of the shape parameter and inter-nodal distance. We discuss the consistency, stability and convergence aspects of the discretization schemes for the boundary value problems. We also discuss optimal shape parameter selection strategies based on optimization of cost functions defined in terms of maximum absolute error, local truncation error and global truncation error. Using standard example problems on Poisson and Helmholtz equations, we demonstrate sixth order convergence and improved accuracy in the numerical solutions obtained by the IMQ-HFD method with shape parameter optimization. In two, three and four dimensions, we make use of tensor products and its properties for fast implementation of the discretization schemes. For solving multi-dimensional problems on large grid sizes, we harness the power of GPU computing to significantly accelerate the computation.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"180 ","pages":"Article 106489"},"PeriodicalIF":4.1,"publicationDate":"2025-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145221157","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A mesh re-parameterization method using bilinear Möbius transformation for static, free vibration and buckling analyses of shells 基于双线性Möbius变换的壳体静力、自由振动和屈曲分析网格再参数化方法

IF 4.1 2区工程技术

Engineering Analysis with Boundary Elements Pub Date : 2025-10-02 DOI: 10.1016/j.enganabound.2025.106491

Jiaqing Liang , Gang Wang , Chicheng Ma

{"title":"A mesh re-parameterization method using bilinear Möbius transformation for static, free vibration and buckling analyses of shells","authors":"Jiaqing Liang , Gang Wang , Chicheng Ma","doi":"10.1016/j.enganabound.2025.106491","DOIUrl":"10.1016/j.enganabound.2025.106491","url":null,"abstract":"<div><div>Accurate analysis of shell structures is challenging due to their geometric complexity, mesh sensitivity and mechanical prediction reliability. To address this challenge, this work presents a mesh re-parameterization method for isogeometric analysis of shells using the bilinear Möbius transformation. Based on the Reissner-Mindlin theory, Non-Uniform Rational B-splines (NURBS) basis functions are employed as shape functions to accurately represent the shell geometry. <em>Re</em>-parameterization of the NURBS surface is achieved using the bilinear Möbius transformation, which introduces free parameters and applies linear interpolation to the basis functions. The values of the free parameters are determined by employing the Grey Wolf Optimizer algorithm. To evaluate the mesh quality before and after the bilinear Möbius transformation, the mesh shape quality coefficient is further constructed as the evaluation criterion. The re-parameterized NURBS basis functions are then used to discretize the shell structures, thereby enabling accurate isogeometric analysis. Finally, the present method is validated by examples of a free-form shell with large curvature, a simplified turbine blade and a square plate with a circular hole. The results demonstrate the present method possesses the following important advantages: (1) higher accuracy; (2) stronger adaptability; (3) faster convergence rate; (4) good stability.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"180 ","pages":"Article 106491"},"PeriodicalIF":4.1,"publicationDate":"2025-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145221156","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Efficient manifold evolution algorithm using adaptive B-Spline interpolation 基于b样条插值的高效流形进化算法

IF 4.1 2区工程技术

Engineering Analysis with Boundary Elements Pub Date : 2025-10-01 DOI: 10.1016/j.enganabound.2025.106488

Muhammad Ammad, Leevan Ling

{"title":"Efficient manifold evolution algorithm using adaptive B-Spline interpolation","authors":"Muhammad Ammad, Leevan Ling","doi":"10.1016/j.enganabound.2025.106488","DOIUrl":"10.1016/j.enganabound.2025.106488","url":null,"abstract":"<div><div>This paper explores an efficient Lagrangian approach for evolving point cloud data on smooth manifolds. In this preliminary study, we focus on analyzing plane curves, and our ultimate goal is to provide an alternative to the conventional radial basis function (RBF) approach for manifolds in higher dimensions. In particular, we use the B-Spline as the basis function for all local interpolations. Just like RBF and other smooth basis functions, B-Splines enable the approximation of geometric features such as normal vectors and curvature. Once properly set up, the advantage of using B-Splines is that their coefficients carry geometric meanings. This allows the coefficients to be manipulated like points, facilitates rapid updates of the interpolant, and eliminates the need for frequent re-interpolation. Consequently, the removal and insertion of point cloud data become seamless processes, particularly advantageous in regions experiencing significant fluctuations in point density. The numerical results demonstrate the convergence of geometric quantities and the effectiveness of our approach. Finally, we show simulations of curvature flows whose speeds depend on the solutions of coupled reaction–diffusion systems for pattern formation.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"180 ","pages":"Article 106488"},"PeriodicalIF":4.1,"publicationDate":"2025-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145221292","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Greedy-based RBF-FD discretization for evolution equations with multi-term tempered kernel 基于贪婪的多项回火核演化方程RBF-FD离散化

IF 4.1 2区工程技术

Engineering Analysis with Boundary Elements Pub Date : 2025-10-01 DOI: 10.1016/j.enganabound.2025.106484

Mojtaba Fardi , Mahmoud A. Zaky , Babak Azarnavid

{"title":"Greedy-based RBF-FD discretization for evolution equations with multi-term tempered kernel","authors":"Mojtaba Fardi , Mahmoud A. Zaky , Babak Azarnavid","doi":"10.1016/j.enganabound.2025.106484","DOIUrl":"10.1016/j.enganabound.2025.106484","url":null,"abstract":"<div><div>This paper introduces an accurate greedy-based radial basis function-generated finite difference (RBF-FD) method for solving two-dimensional evolution equations with multi-term tempered kernels. The proposed method combines the flexibility of the RBF-FD approach with the backward Euler (BE) and second-order backward differentiation formula (BDF2) time-stepping schemes. We also use a greedy algorithm to select the collocation points for spatial discretization optimally. This addresses the critical challenge of node placement and enhances the stability and accuracy of the solution. The method offers a robust and flexible framework for modeling complex systems with memory effects and nonlocal interactions. Numerical examples demonstrate the method’s accuracy and efficiency across various domains. Additionally, we present a practical approach for evaluating convergence when the exact solution is unknown, which is essential for real-world applications. The obtained numerical results demonstrate the superiority of the BDF2 over the BE scheme in accuracy and convergence rate, illustrating the effectiveness of the proposed combined spatial and temporal approach.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"180 ","pages":"Article 106484"},"PeriodicalIF":4.1,"publicationDate":"2025-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145221291","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Higher-order weak formulation for vibration analysis of anisotropic doubly-curved shells with holes and discontinuities 带孔和不连续的各向异性双弯曲壳振动分析的高阶弱公式

IF 4.1 2区工程技术

Engineering Analysis with Boundary Elements Pub Date : 2025-09-29 DOI: 10.1016/j.enganabound.2025.106480

Francesco Tornabene, Matteo Viscoti, Rossana Dimitri

{"title":"Higher-order weak formulation for vibration analysis of anisotropic doubly-curved shells with holes and discontinuities","authors":"Francesco Tornabene, Matteo Viscoti, Rossana Dimitri","doi":"10.1016/j.enganabound.2025.106480","DOIUrl":"10.1016/j.enganabound.2025.106480","url":null,"abstract":"<div><div>This work focuses on the application of two-dimensional higher-order theories within the Equivalent Single Layer (ESL) approach for the free vibration analysis of anisotropic doubly-curved shells with irregular bi-connected domains, holes, and cracks. To this end, the dynamic governing equations are derived from the Hamilton principle in curvilinear principal coordinates, using a higher-order Lagrange interpolation of the unknown variables. An isogeometric mapping technique is employed to account for arbitrarily-shaped structures. A constitutive relation valid for generally anisotropic materials is considered within the theory, and a generalized kinematic model, based on power and zigzag functions, is adopted along the thickness direction. A numerical solution is derived with the Generalized Differential Quadrature (GDQ) method. Furthermore, a finite element implementation of the theory is carried out using higher-order Lagrange and Hermite shape functions to interpolate the solution within rectangular and triangular elements which discretize the parametric domain.</div><div>The model is validated against some reference solutions obtained from finite elements, and the convergence of the results from numerical method is assessed. The accuracy of the solution is investigated for structures described by bi-connected domains, including panels with one or more holes of arbitrary shape. Furthermore, doubly-curved laminated shells are studied with internal line cracks. The procedure presented in this paper represents a significative advancement in the analysis of shell structures, since it provides a comprehensive finite element formulation for anisotropic doubly-curved shells, based on unified formulations, which can be used even for curved laminated structures characterized by holes, discontinuities, cracks, and arbitrary shape.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"180 ","pages":"Article 106480"},"PeriodicalIF":4.1,"publicationDate":"2025-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145221289","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Maximal electromagnetic coupling between arbitrary-shaped nanotubes 任意形状纳米管之间的最大电磁耦合

IF 4.1 2区工程技术

Engineering Analysis with Boundary Elements Pub Date : 2025-09-29 DOI: 10.1016/j.enganabound.2025.106483

Abzal Aznabayev , Ravil Ashirmametov , Aidana Faizulla , Constantinos Valagiannopoulos , Konstantinos Kostas

{"title":"Maximal electromagnetic coupling between arbitrary-shaped nanotubes","authors":"Abzal Aznabayev , Ravil Ashirmametov , Aidana Faizulla , Constantinos Valagiannopoulos , Konstantinos Kostas","doi":"10.1016/j.enganabound.2025.106483","DOIUrl":"10.1016/j.enganabound.2025.106483","url":null,"abstract":"<div><div>The interaction of electromagnetic waves with pairs of nanotubes having arbitrary-shaped cross sections is investigated. The study starts by thoroughly examining nanotube couples with circular boundaries to identify the structural, textural and excitation parameters that enhance the electric field concentration. Such an initial step generates a design space across which the regions of interest are determined to formulate a shape optimization problem targeting at the maximization of the signal internally to the nanotubes by modifying their boundary surface while maintaining the values for the remaining operational parameters. An IsoGeometric-Analysis-based Boundary Element Method (IGABEM) is employed for estimating the electric field around nanotube boundaries, which is subsequently used towards the overall solution of the boundary value problem. A hybrid optimization approach, employing global and local optimizers, along with two geometric parametric models that generate valid nanotube cross sections complement the IGABEM method in the quest of optimal designs. The achieved optimal shapes attain substantial boost in the concentration of the electric field which can easily exceed, by 30 times or more, the corresponding value obtained by circular nanotube pairs. This superior performance is maintained for a large range of wave angles and nanotube areas and, accordingly, the robustness of the obtained results and their potential applicability in a wide range of applications, is demonstrated. Finally, the computational method developed in this work can be easily extended for analyzing a finite array of nanotubes, while insights gained by the reported optimal shapes pave the way for their optimization and fine tuning in collective setups like electromagnetic gratings and photonic metasurfaces.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"180 ","pages":"Article 106483"},"PeriodicalIF":4.1,"publicationDate":"2025-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145221278","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Free vibration analysis of cracked Kirchhoff-Love plates using meshless numerical manifold method 裂纹Kirchhoff-Love板的无网格数值流形分析

IF 4.1 2区工程技术

Engineering Analysis with Boundary Elements Pub Date : 2025-09-29 DOI: 10.1016/j.enganabound.2025.106485

Shouyang Huang, Hong Zheng, Ziheng Li, Jiahan Jiang, Xuguang Yu

引用次数: 0

Coupled and uncoupled thermally induced vibration of FGM plate FGM板的耦合和非耦合热激振动

IF 4.1 2区工程技术

Engineering Analysis with Boundary Elements Pub Date : 2025-09-28 DOI: 10.1016/j.enganabound.2025.106486

A. Salmanizadeh , M.R. Eslami , Y. Kiani

{"title":"Coupled and uncoupled thermally induced vibration of FGM plate","authors":"A. Salmanizadeh , M.R. Eslami , Y. Kiani","doi":"10.1016/j.enganabound.2025.106486","DOIUrl":"10.1016/j.enganabound.2025.106486","url":null,"abstract":"<div><div>The present study investigates the coupled and uncoupled dynamic thermoelastic response of a thin functionally graded material (FGM) plate subjected to transient thermal shock loading. The plate is graded in the thickness direction, with the top surface exposed to a sudden heat flux and the bottom surface thermally insulated. The governing equations are derived using Hamilton’s principle based on first-order shear deformation theory, assuming small linear strains and incorporating the heat conduction equation. These equations are discretized using the generalized differential quadrature (GDQ) method and solved by the Newmark time integration scheme to obtain transient temperature and displacement fields. Due to the thinness of the plate, a linear temperature profile through the thickness is assumed. The study specifically focuses on the transient behavior of the structure and considers the role of thermoelastic coupling in energy dissipation during vibrations, as predicted by the coupled thermoelasticity theory. The results are validated against existing solutions, and a comprehensive parametric study is conducted to examine the influence of material gradient index, plate geometry, boundary conditions, and thermal loading characteristics on the dynamic responses.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"180 ","pages":"Article 106486"},"PeriodicalIF":4.1,"publicationDate":"2025-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145181272","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A virtual-bond peridynamics model for irregular grid 不规则网格的虚拟键周动力学模型

IF 4.1 2区工程技术

Engineering Analysis with Boundary Elements Pub Date : 2025-09-25 DOI: 10.1016/j.enganabound.2025.106479

Mingqi Qin , Yun Jia , Zhenyu Yin , Diansen Yang

{"title":"A virtual-bond peridynamics model for irregular grid","authors":"Mingqi Qin , Yun Jia , Zhenyu Yin , Diansen Yang","doi":"10.1016/j.enganabound.2025.106479","DOIUrl":"10.1016/j.enganabound.2025.106479","url":null,"abstract":"<div><div>Classical peridynamics (PD) models exhibit significant inaccuracies, when applied to irregular grid distributions, limiting their practical engineering applicability. This study begins with the evaluation of existing improved PD formations on numerical specimens with irregular grids and pinpoints a critical source of errors: although bond stretch, overall support domain deformation, and individual bond forces are accurately computed, the resultant bond forces are not. To address this issue, we propose a gradient field computation method within a nonlocal framework tailored for irregular grids, resulting in a novel virtual-bond PD model that eliminates bond force calculations, where bonds are solely used to characterize material fracture and evaluate deformation. A series of numerical experiments demonstrate that the proposed model accurately simulates material deformation, fracture, and failure under irregular grid conditions. This research deepens the understanding of errors mechanisms in PD models under irregular grids and offers a promising pathway toward enhancing the applicability of nonlocal methods.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"180 ","pages":"Article 106479"},"PeriodicalIF":4.1,"publicationDate":"2025-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145158802","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A dynamic interaction model for seismic analysis of cylindrical tunnels 圆柱隧道地震分析的动力相互作用模型

IF 4.1 2区工程技术

Engineering Analysis with Boundary Elements Pub Date : 2025-09-24 DOI: 10.1016/j.enganabound.2025.106481

Yalcin Mengi , Fuat Korkut , Turgut Tokdemir

{"title":"A dynamic interaction model for seismic analysis of cylindrical tunnels","authors":"Yalcin Mengi , Fuat Korkut , Turgut Tokdemir","doi":"10.1016/j.enganabound.2025.106481","DOIUrl":"10.1016/j.enganabound.2025.106481","url":null,"abstract":"<div><div>A meshless computational model is proposed for seismic analysis of cylindrical tunnels, involving two stages. In the first stage, within the framework of soil-structure interaction (SSI) formulation developed in literature, the analysis is performed in Fourier space. There, the impedance matrices appearing in the formulation are evaluated by the generalized finite difference method (GFDM) together with a perfectly matched layer (PML). For the description of lining, higher-order shell and plate theories are employed. The second stage involves the inversion into time space via the discrete Fourier transform with the FFT algorithm. It is worth noting that the Fourier transform analysis performed in the first stage gives directly the response for the harmonic excitation case. For assessment, the seismic environments generated by S<sub>V</sub> and P waves in an infinite soil medium, and a half-space are considered for circular tunnels. It is observed, among other, that (i) for even very large wavelength-diameter ratios, pseudo-static values of thrust in lining may underestimate the dynamic values, in particular, as the lining gets stiffer (ii) the results for half-space case deviate largely from those of infinite medium; due to scattering effects between liner interface and top boundary of half-space.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"180 ","pages":"Article 106481"},"PeriodicalIF":4.1,"publicationDate":"2025-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145119428","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0