Engineering Analysis with Boundary Elements最新文献

Ghost point-enhanced radial basis function pseudo-spectral method for solving bioheat transfer problems 求解生物传热问题的虚点增强径向基函数伪谱法

IF 4.1 2区工程技术

Engineering Analysis with Boundary Elements Pub Date : 2025-08-05 DOI: 10.1016/j.enganabound.2025.106402

Xinglong Lu , Ruiping Niu , Min Lei , Qiuxia Fan

{"title":"Ghost point-enhanced radial basis function pseudo-spectral method for solving bioheat transfer problems","authors":"Xinglong Lu , Ruiping Niu , Min Lei , Qiuxia Fan","doi":"10.1016/j.enganabound.2025.106402","DOIUrl":"10.1016/j.enganabound.2025.106402","url":null,"abstract":"<div><div>The paper proposes a ghost point-enhanced radial basis function pseudo-spectral method (RBF-PS-G), incorporating the fourth-order Runge-Kutta method, to effectively analyze the dynamic Pennes equation. In contrast to the traditional radial basis function pseudo-spectral method (RBF-PS), RBF-PS-G utilizes ghost points to envelop a closed region encompassing the problem domain, thereby eliminating the sensitivity of shape parameters and promotes the stability of solving the biological heat conduction equation. Furthermore, the convection boundary and heat flux conditions are formulated using Taylor's expansion, giving rise to an ordinary differential equation. By integrating the governing equation, boundary conditions and initial condition, the system of ordinary differential equations is established, enabling the use of the fourth-order Runge-Kutta method to approximate the time evolution and ensure the super-convergence of the proposed model. Through the temperature analysis of 2D and 3D livers, the results demonstrate that the proposed method performs better than FEM and RBF-PS. In addition, the shape parameter has negligible impact on accuracy, making it highly applicable for using RBF in practical problems.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"179 ","pages":"Article 106402"},"PeriodicalIF":4.1,"publicationDate":"2025-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144771332","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

Radial basis function-based finite difference schemes for pricing Asian options under a regime-switching jump diffusion model 制度切换跳跃扩散模型下基于径向基函数的亚洲期权定价有限差分格式

IF 4.1 2区工程技术

Engineering Analysis with Boundary Elements Pub Date : 2025-08-05 DOI: 10.1016/j.enganabound.2025.106400

Alpesh Kumar , Gobinda Rakshit , Deepak Kumar Yadav , Rajesh Yadav

引用次数: 0

SH wave scattering in Eringen’s nonlocal elastic solid using the method of fundamental solutions 用基本解方法研究Eringen非局部弹性固体中的SH波散射

IF 4.1 2区工程技术

Engineering Analysis with Boundary Elements Pub Date : 2025-08-05 DOI: 10.1016/j.enganabound.2025.106410

Akira Furukawa , Taizo Maruyama , Takahiro Saitoh , Sohichi Hirose , Davinder Kumar , Dilbag Singh , Sushil K. Tomar

引用次数: 0

On concave polygon mesh for axisymmetric problems of solids using cell-based smoothed finite element method 基于单元的光滑有限元法求解固体轴对称问题的凹多边形网格

IF 4.1 2区工程技术

Engineering Analysis with Boundary Elements Pub Date : 2025-08-05 DOI: 10.1016/j.enganabound.2025.106416

Min-Wei Huang , Hao-Cheng Fu , Tao-Ming Pang , Yu-Xuan Liu , Shao-Wei Wu , De-Tao Wan , G.R. Liu

{"title":"On concave polygon mesh for axisymmetric problems of solids using cell-based smoothed finite element method","authors":"Min-Wei Huang , Hao-Cheng Fu , Tao-Ming Pang , Yu-Xuan Liu , Shao-Wei Wu , De-Tao Wan , G.R. Liu","doi":"10.1016/j.enganabound.2025.106416","DOIUrl":"10.1016/j.enganabound.2025.106416","url":null,"abstract":"<div><div>This article presents novel techniques that enable the use of arbitrary complex meshes, including concave polygon meshes, to solve axisymmetric problems. The formulation is based on the smoothed finite element method, which is a flexible framework for complicated domains. Our technique uses an inverse coordinate mapping method, so that a complex geometry such as \"animal\" image can be extracted and mapped to the quadrilateral background element, and a continuous concave polygon discrete mesh is constructed. Through ear clipping technology, a cell-based smoothing domains are constructed without any virtual nodes. Using gradient smoothing technology, a novel formulation using concave polygon meshes to solve axisymmetric problems based on cell-based smoothed FEM, so that only the shape function (not its derivatives) is required, avoiding complicated coordinate mapping and the use of additional stabilization terms otherwise. Our techniques are validated using several complex images of geometric models, while leads to an arbitrary mesh that can be traditional quadrilaterals, convex, concave, and n-sides polygon meshes. The extraordinary flexibility, applicability, and robustness of S-FEM in solving axisymmetric problems are extensively demonstrated.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"179 ","pages":"Article 106416"},"PeriodicalIF":4.1,"publicationDate":"2025-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144771333","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

Optimization of Bai–Parlett–Wang’s iteration method for solving saddle-point linear systems with applications to 2D Stokes flow problems 求解鞍点线性系统的Bai-Parlett-Wang迭代法优化及其在二维Stokes流问题中的应用

IF 4.1 2区工程技术

Engineering Analysis with Boundary Elements Pub Date : 2025-08-05 DOI: 10.1016/j.enganabound.2025.106404

Chein-Shan Liu , Hong-Ki Hong , Chia-Cheng Tsai

{"title":"Optimization of Bai–Parlett–Wang’s iteration method for solving saddle-point linear systems with applications to 2D Stokes flow problems","authors":"Chein-Shan Liu , Hong-Ki Hong , Chia-Cheng Tsai","doi":"10.1016/j.enganabound.2025.106404","DOIUrl":"10.1016/j.enganabound.2025.106404","url":null,"abstract":"<div><div>For the two-dimensional Stokes equations we derive a saddle-point linear system to computing the velocities and pressure on nodal points. The equivalent form of the splitting iterative algorithm is expressed in terms of descent vector and residual vector, which are two basic vectors often used in the iterative algorithm. The splitting iterative algorithm is proven to be absolute convergence, if the orthogonality condition is fulfilled. An orthogonalized iterative algorithm (OIA) can be derived by preceding a stabilization factor to the descent vector. For the OIA the Jordan structure correlates the <span><math><mrow><mo>(</mo><mi>k</mi><mo>+</mo><mn>1</mn><mo>)</mo></mrow></math></span>th step residual vector to the <span><math><mi>k</mi></math></span>th step residual vector and descent vector is explored. The convergence is happened automatically because the OIA exhibits a pull-back mechanism. By using the orthogonality condition the non-stationary parameter with optimal value per iteration is derived explicitly in Bai–Parlett–Wang’s iteration method, which is able to maximally reduce the residual per step. Three splitting iterative algorithms are tested by five examples including the Stokes flow problems. Highly accurate numerical solutions with the accuracy in the order <span><math><mrow><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mo>−</mo><mn>14</mn></mrow></msup></mrow></math></span> for velocities and <span><math><mrow><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mo>−</mo><mn>13</mn></mrow></msup></mrow></math></span> for pressure are obtained by the proposed optimal Bai–Parlett–Wang’s iteration method.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"179 ","pages":"Article 106404"},"PeriodicalIF":4.1,"publicationDate":"2025-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144779798","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

LMAPS incorporating Hermite interpolation for solving convection–reaction–diffusion equations 结合Hermite插值求解对流-反应-扩散方程的LMAPS

IF 4.1 2区工程技术

Engineering Analysis with Boundary Elements Pub Date : 2025-08-05 DOI: 10.1016/j.enganabound.2025.106403

Kwesi Acheampong, Haiyan Tian, Huiqing Zhu

引用次数: 0

Boundary element analysis for cracked functionally graded materials 裂纹功能梯度材料的边界元分析

IF 4.1 2区工程技术

Engineering Analysis with Boundary Elements Pub Date : 2025-08-02 DOI: 10.1016/j.enganabound.2025.106414

C.Z. Shi, P.H. Wen

{"title":"Boundary element analysis for cracked functionally graded materials","authors":"C.Z. Shi, P.H. Wen","doi":"10.1016/j.enganabound.2025.106414","DOIUrl":"10.1016/j.enganabound.2025.106414","url":null,"abstract":"<div><div>In this paper, a novel framework of the Boundary Element Method (BEM) to evaluate Stress Intensity Factors (SIFs) in 2D cracked Functionally Graded Materials (FGMs) is proposed. The modified Erdogan’s Green’s functions for a crack in an infinite homogeneous plate under a pair of concentrated forces are introduced into the BEM, inherently modeling traction-free crack without requiring explicit crack discretization. By treating the material non-homogeneity as an equivalent body force, the boundary integral equation for cracked FGMs is formulated. A multi-domain technique is incorporated into the proposed BEM to address multi-crack problems, while the Houbolt Finite Difference Method (HFDM) is adopted for time discretization in elastodynamic analysis. To avoid singularity arising from node overlap between boundary and internal element nodes, the semi-discontinuous nine-node quadrilateral elements are employed. SIFs are calculated by utilizing both the Crack Opening Displacement (COD) and the <em>J</em>-integral method. Several numerical examples are presented to validate the accuracy of the proposed BEM, through comparisons with other representative numerical methods.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"179 ","pages":"Article 106414"},"PeriodicalIF":4.1,"publicationDate":"2025-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144764001","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

Application of 2D modified Ritz technique to examine the effect of multiple cutouts on vibrational characteristics of composite conical panels based on an FG-Xζ model 基于FG-Xζ模型，应用二维修正Ritz技术研究多切口对复合材料锥形板振动特性的影响

IF 4.1 2区工程技术

Engineering Analysis with Boundary Elements Pub Date : 2025-08-02 DOI: 10.1016/j.enganabound.2025.106413

Shuili Ren, Peijun Zhang, Jianhui Li

{"title":"Application of 2D modified Ritz technique to examine the effect of multiple cutouts on vibrational characteristics of composite conical panels based on an FG-Xζ model","authors":"Shuili Ren, Peijun Zhang, Jianhui Li","doi":"10.1016/j.enganabound.2025.106413","DOIUrl":"10.1016/j.enganabound.2025.106413","url":null,"abstract":"<div><div>This study explores the natural frequencies of deep composite conical shells featuring multiple cutouts and reinforced with graphene platelets (GPLs), utilizing the two-dimensional Modified Chebyshev-Ritz Method. The shell formulation is grounded in Sanders’ strain-displacement relations and incorporates a first-order shear deformation theory. The composite layers follow an enhanced functionally graded (FG)-X<sup>ζ</sup> distribution, where the GPL volume fraction varies across layers. Material properties of each layer are estimated using the Halpin-Tsai homogenization technique. To accurately represent the effects of cutouts, the Modified Chebyshev-Ritz method defines the Lagrangian functional in a way that excludes the strain energy associated with the cutout regions. This approach enables the modeling of cutouts with arbitrary sizes and distributions. Comparative studies with existing numerical results confirm the accuracy of the proposed method. Extensive parametric investigations reveal the dynamic behavior of the shell structure under different boundary conditions, material gradation schemes, and geometric parameters, emphasizing the significant impact of cutout characteristics on the natural frequencies. Overall, the proposed framework provides a reliable analytical tool for evaluating the vibration performance of FG-X<sup>ζ</sup>-based GPL-reinforced composite conical shells.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"179 ","pages":"Article 106413"},"PeriodicalIF":4.1,"publicationDate":"2025-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144764000","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

Frequency-domain BEM-based mathematical model for a wave-energy-harvesting oscillator inside ship under regular waves 基于频域bem的规则波条件下船内波能收集振荡器的数学模型

IF 4.1 2区工程技术

Engineering Analysis with Boundary Elements Pub Date : 2025-08-02 DOI: 10.1016/j.enganabound.2025.106415

Yao Liu , Weimin Chen , Xinshu Zhang , Guoxiang Dong

{"title":"Frequency-domain BEM-based mathematical model for a wave-energy-harvesting oscillator inside ship under regular waves","authors":"Yao Liu , Weimin Chen , Xinshu Zhang , Guoxiang Dong","doi":"10.1016/j.enganabound.2025.106415","DOIUrl":"10.1016/j.enganabound.2025.106415","url":null,"abstract":"<div><div>This study develops a frequency-domain mathematical model based on the boundary element method (BEM) to describe the coupled motions of a wave-energy-harvesting oscillator inside ship under regular waves. The BEM is employed to compute the ship’s hydrodynamic coefficients by solving wave diffraction and radiation problems. Analytical solutions are derived for both the ship and oscillator responses, alongside optimal and suboptimal power take-off (PTO) damping strategies for maximizing energy capture. The model is validated using experimental data from a small-scale KRISO Container Ship (KCS). Theoretically, the oscillator performs best with low damping and a long stroke, but near resonance, optimal PTO damping is too weak, causing excessive motion. Given the spatial constraints inside ships, suboptimal damping is necessary to mitigate oscillator motions, though it reduces capture width (CW). The distribution of maximized CWs for a full-scale KCS across various wave conditions are computed, showing CWs exceeding the theoretical maximum of an axisymmetric point absorber in lateral waves near mutual resonance of both the ship and oscillator. Key factors affecting high CWs are examined, along with the effects of oscillator mass and spring stiffness. A larger oscillator mass with the same natural period further enhances CW, emphasizing the system’s inertia-driven nature.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"179 ","pages":"Article 106415"},"PeriodicalIF":4.1,"publicationDate":"2025-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144764002","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

Application of multifractal optimized by DNN in the quality analysis of mesh 深度神经网络优化多重分形在网格质量分析中的应用

IF 4.1 2区工程技术

Engineering Analysis with Boundary Elements Pub Date : 2025-07-31 DOI: 10.1016/j.enganabound.2025.106407

Ziang Cao , Peixin Zhang , Limin Huang

{"title":"Application of multifractal optimized by DNN in the quality analysis of mesh","authors":"Ziang Cao , Peixin Zhang , Limin Huang","doi":"10.1016/j.enganabound.2025.106407","DOIUrl":"10.1016/j.enganabound.2025.106407","url":null,"abstract":"<div><div>In the field of engineering simulation, mesh quality critically determines the accuracy and efficiency of numerical simulations. Traditional mesh quality evaluation metrics, such as element volume and shape factor, can identify local defects but fail to quantify the nonlinear distribution characteristics of global mesh quality. Fractal theory provides a mathematical tool for characterizing the self-similarity of complex geometric structures; however, a single fractal dimension is insufficient to capture the multiscale heterogeneity of meshes. To address this, this study proposes a multifractal-based framework for mesh quality analysis, aiming to reveal the global distribution patterns and nonuniform features of mesh quality. To mitigate the sensitivity of the fractal dimension calculation to parameter <span><math><mi>ϵ</mi></math></span>, an optimization strategy integrating Q-learning reinforcement learning and deep neural networks is introduced, reducing manual parameter-tuning costs and computational complexity. The proposed method achieves an error of only 1.997% in calculating the fractal dimension of a 3D Cantor set. Finally, numerical experiments on 2D cylinder flow demonstrate that this mesh quality analysis method outperforms traditional metrics significantly.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"179 ","pages":"Article 106407"},"PeriodicalIF":4.1,"publicationDate":"2025-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144750561","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