Engineering Analysis with Boundary Elements最新文献

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A study on different implementations of Neumann boundary conditions in the meshless RBF-FD method for the phase-field modelling of dendrite growth
IF 4.2 2区 工程技术
Engineering Analysis with Boundary Elements Pub Date : 2025-02-14 DOI: 10.1016/j.enganabound.2025.106154
Tadej Dobravec , Boštjan Mavrič , Božidar Šarler
{"title":"A study on different implementations of Neumann boundary conditions in the meshless RBF-FD method for the phase-field modelling of dendrite growth","authors":"Tadej Dobravec ,&nbsp;Boštjan Mavrič ,&nbsp;Božidar Šarler","doi":"10.1016/j.enganabound.2025.106154","DOIUrl":"10.1016/j.enganabound.2025.106154","url":null,"abstract":"<div><div>This paper studies and assesses different Neumann boundary conditions (BC) implementations in the radial basis function generated finite difference (RBF-FD) method. We analyse four BC implementations by solving a phase-field model for single dendrite growth in supercooled pure melts. In the first BC implementation, the BC are satisfied when constructing interpolation problems in the local support domains near the boundary. In the second one, the BC are satisfied by solving an additional system of linear equations for the field values in the boundary nodes. In the third one, we add a layer of ghost nodes to the boundary nodes; the BC are satisfied by solving an additional system of linear equations for the field values in the ghost nodes. The fourth BC implementation uses the same node distribution as the third one; since we are dealing with the symmetric BC, we set the values in the ghost nodes by direct mirroring. We analyse the influence of the size of a local support domain and the type of node distribution (regular/scattered) on the accuracy. We show that using ghost nodes is recommended to consider Neumann BC in the RBF-FD method accurately when solving phase-field models for dendritic growth.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"173 ","pages":"Article 106154"},"PeriodicalIF":4.2,"publicationDate":"2025-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143403093","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
S-PEEC-DI: Surface Partial Element Equivalent Circuit method with decoupling integrals
IF 4.2 2区 工程技术
Engineering Analysis with Boundary Elements Pub Date : 2025-02-14 DOI: 10.1016/j.enganabound.2025.106152
Maria De Lauretis , Elena Haller , Daniele Romano , Giulio Antonini , Jonas Ekman , Ivana Kovačević-Badstübner , Ulrike Grossner
{"title":"S-PEEC-DI: Surface Partial Element Equivalent Circuit method with decoupling integrals","authors":"Maria De Lauretis ,&nbsp;Elena Haller ,&nbsp;Daniele Romano ,&nbsp;Giulio Antonini ,&nbsp;Jonas Ekman ,&nbsp;Ivana Kovačević-Badstübner ,&nbsp;Ulrike Grossner","doi":"10.1016/j.enganabound.2025.106152","DOIUrl":"10.1016/j.enganabound.2025.106152","url":null,"abstract":"<div><div>In computational electromagnetics, numerical methods are generally optimized for triangular or tetrahedral meshes. However, typical objects of general interest in electronics, such as diode packages or antennas, have a Manhattan-type geometry that can be modeled with orthogonal and rectangular meshes. The advantage of orthogonal meshes is that they allow analytic solutions of the integral equations. In this work, we optimize the decoupling of the integrals used in the Surface formulation of the Partial Element Equivalent Circuit (S-PEEC) method for rectangular meshes. We consider a previously proposed decoupling strategy, and we lighten the underlying math by generalizing it. The new method shows improved accuracy and computational time because the number of decoupling integrals is generally reduced. The new S-PEEC method with decoupling integrals is named S-PEEC-DI. The S-PEEC-DI method is tested on a realistic diode package and compared with the volumetric PEEC (V-PEEC) and two well-known commercial solvers.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"173 ","pages":"Article 106152"},"PeriodicalIF":4.2,"publicationDate":"2025-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143402998","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Optimizing chatbot responsiveness: Automated history context selector via three-way decision for multi-turn dialogue Large Language Models
IF 4.2 2区 工程技术
Engineering Analysis with Boundary Elements Pub Date : 2025-02-12 DOI: 10.1016/j.enganabound.2025.106150
Weicheng Wang , Xiaoliang Chen , Duoqian Miao , Hongyun Zhang , Xiaolin Qin , Xu Gu , Peng Lu
{"title":"Optimizing chatbot responsiveness: Automated history context selector via three-way decision for multi-turn dialogue Large Language Models","authors":"Weicheng Wang ,&nbsp;Xiaoliang Chen ,&nbsp;Duoqian Miao ,&nbsp;Hongyun Zhang ,&nbsp;Xiaolin Qin ,&nbsp;Xu Gu ,&nbsp;Peng Lu","doi":"10.1016/j.enganabound.2025.106150","DOIUrl":"10.1016/j.enganabound.2025.106150","url":null,"abstract":"<div><div>Enhancing the efficiency of chat models in multi-turn dialogue systems is a critical challenge in Artificial Intelligence. Multi-turn dialogues often span diverse topics, with irrelevant dialogue turns frequently degrading the quality of the model’s responses. This study addresses this challenge by proposing a novel method for the automated identification and selection of contextually relevant dialogue turns. Our approach introduces an Automated Relevance Labeling Pipeline, which leverages three-way decision and the K-Nearest Neighbors algorithm to automatically assign relevance labels by calculating the distance between dialogue turns and final responses. A Relevance Selector is trained on these labels, enabling it to accurately detect and prioritize relevant dialogue turns from the conversation history. The proposed method has been tested across various datasets demonstrating significant performance improvements over existing approaches that indiscriminately expand the entire conversation history. Notably, the integration of this method into existing chat models resulted in an increase in Recall rates by 4%–6% and a marked reduction in perplexity, approaching the accuracy of manually annotated data. The method’s zero-shot learning capabilities further underscore its generalizability applying to diverse conversational contexts without requiring additional fine-tuning. These results highlight the method’s potential to significantly enhance the performance of multi-turn dialogue systems.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"173 ","pages":"Article 106150"},"PeriodicalIF":4.2,"publicationDate":"2025-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143387550","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
Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity
IF 4.2 2区 工程技术
Engineering Analysis with Boundary Elements Pub Date : 2025-02-12 DOI: 10.1016/j.enganabound.2025.106148
Yasuhiro Matsumoto , Taizo Maruyama
{"title":"Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity","authors":"Yasuhiro Matsumoto ,&nbsp;Taizo Maruyama","doi":"10.1016/j.enganabound.2025.106148","DOIUrl":"10.1016/j.enganabound.2025.106148","url":null,"abstract":"<div><div>This paper proposes an <span><math><mrow><mi>O</mi><mrow><mo>(</mo><mi>N</mi><mo>)</mo></mrow></mrow></math></span> fast direct solver for two-dimensional elastic wave scattering problems. The proxy surface method is extended to elastodynamics to obtain shared coefficients for low-rank approximations from discretized integral operators. The proposed method is a variant of the Martinsson–Rokhlin–type fast direct solver. Our variant avoids the explicit computation of the inverse of the coefficient matrix, thereby reducing the required number of matrix–matrix multiplications. Numerical experiments demonstrate that the proposed solver has a complexity of <span><math><mrow><mi>O</mi><mrow><mo>(</mo><mi>N</mi><mo>)</mo></mrow></mrow></math></span> in the low-frequency range and has a highly parallel computation efficiency with a strong scaling efficiency of 70%. Furthermore, multiple right-hand sides can be solved efficiently; specifically, when solving problems with 180 right-hand side vectors, the processing time per vector from the second vector onward was approximately 28,900 times faster than that for the first vector. This is a key advantage of fast direct methods.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"173 ","pages":"Article 106148"},"PeriodicalIF":4.2,"publicationDate":"2025-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143387549","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A supervised learning algorithm to simulate tumor growth: Cahn–Hilliard model on surfaces
IF 4.2 2区 工程技术
Engineering Analysis with Boundary Elements Pub Date : 2025-02-11 DOI: 10.1016/j.enganabound.2025.106132
Mojtaba Torkian , Mostafa Abbaszadeh , Seyed Majid Alavi , Majid Haghverdi
{"title":"A supervised learning algorithm to simulate tumor growth: Cahn–Hilliard model on surfaces","authors":"Mojtaba Torkian ,&nbsp;Mostafa Abbaszadeh ,&nbsp;Seyed Majid Alavi ,&nbsp;Majid Haghverdi","doi":"10.1016/j.enganabound.2025.106132","DOIUrl":"10.1016/j.enganabound.2025.106132","url":null,"abstract":"<div><div>The current work concerns to introduce a new numerical solution based upon a supervised learning algorithm with the shape functions of reproducing kernel particle method (RKPM). In the developed technique a least-squares support vector regression is extended for the numerical solution of the Cahn–Hilliard (CH) model in two- and three-dimensional domains. First, the time derivative is approximated by a BDF2 algorithm to get a semi-discrete scheme. Then, the local RKPM-differential quadrature (LRKPM-DQ) is employed to build the differential matrices. Finally, the least-squares support vector regression idea is used to drive the numerical solution. The proposed numerical procedure is applied for two-dimensional CH model and also it is examined for the main mathematical model on different surfaces. The numerical results confirm the ability and efficiency of the introduced numerical formulation.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"173 ","pages":"Article 106132"},"PeriodicalIF":4.2,"publicationDate":"2025-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143387490","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
The numerical manifold method for piezoelectric materials with hole flaws under electro-mechanical loadings
IF 4.2 2区 工程技术
Engineering Analysis with Boundary Elements Pub Date : 2025-02-11 DOI: 10.1016/j.enganabound.2025.106149
C.L. Li, D.L. Guo, H.H. Zhang
{"title":"The numerical manifold method for piezoelectric materials with hole flaws under electro-mechanical loadings","authors":"C.L. Li,&nbsp;D.L. Guo,&nbsp;H.H. Zhang","doi":"10.1016/j.enganabound.2025.106149","DOIUrl":"10.1016/j.enganabound.2025.106149","url":null,"abstract":"<div><div>Piezoelectric intelligent materials are pivotal in a multitude of fields. In this work, the numerical manifold method (NMM) is developed to model piezoelectric solids with arbitrarily shaped cavities. The superiority of this method roots in its dual-cover systems, namely, the mathematical and physical covers, which enable the NMM to straightforwardly discretize physical domain with non-conforming mathematical covers. The governing equations and boundary conditions are introduced, upon which the NMM global discrete equations are formulated via the weighted residual method and the NMM physical field approximations. Several numerical examples with increasing complexity are conducted to verify the proposed approach. Furthermore, the impacts of hole configurations, polarization directions and loading conditions on the electro-mechanical behavior of perforated piezoelectric materials are also investigated.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"173 ","pages":"Article 106149"},"PeriodicalIF":4.2,"publicationDate":"2025-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143378788","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
The RBF-FD method for solving the time-fractional viscoelastic wave propagation in irregular domains
IF 4.2 2区 工程技术
Engineering Analysis with Boundary Elements Pub Date : 2025-02-08 DOI: 10.1016/j.enganabound.2025.106121
Feng Wang, Yan Zhu, Sihao Jia, Xu Guo
{"title":"The RBF-FD method for solving the time-fractional viscoelastic wave propagation in irregular domains","authors":"Feng Wang,&nbsp;Yan Zhu,&nbsp;Sihao Jia,&nbsp;Xu Guo","doi":"10.1016/j.enganabound.2025.106121","DOIUrl":"10.1016/j.enganabound.2025.106121","url":null,"abstract":"<div><div>The time-fractional viscoelastic wave equation plays a crucial role in geophysical exploration by accurately modeling wave attenuation and velocity dispersion in Earth’s media. However, solving this equation is challenging due to the stress–strain relationship governed by the Caputo fractional derivative of small orders and the complexity of irregular surface topographies. The requirement for significant memory and computational resources when dealing with small fractional orders limits the efficiency of traditional methods. Conventional approaches, which rely on horizontal reference planes, fixed-step grids, and stair-step approximations for irregular surfaces, often lead to staircase scattering and reduced accuracy. To address these challenges, this study proposes a numerical algorithm based on the Radial Basis Function-Finite Difference (RBF-FD) method for simulating time-fractional viscoelastic waves in irregular domains. The meshless nature of the RBF-FD method allows for flexible node distribution, making it well-suited for complex interfaces. Additionally, a short-memory algorithm is implemented to efficiently solve the stress–strain relationship governed by the fractional derivative. Several numerical experiments are presented to validate the accuracy and efficiency of the proposed scheme.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"173 ","pages":"Article 106121"},"PeriodicalIF":4.2,"publicationDate":"2025-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143372126","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
Meshfree analysis of brain tumor growth under various treatment plans considering the mechanical stress effect
IF 4.2 2区 工程技术
Engineering Analysis with Boundary Elements Pub Date : 2025-02-07 DOI: 10.1016/j.enganabound.2025.106151
Amir Khosravifard, Ghazaleh Ansari
{"title":"Meshfree analysis of brain tumor growth under various treatment plans considering the mechanical stress effect","authors":"Amir Khosravifard,&nbsp;Ghazaleh Ansari","doi":"10.1016/j.enganabound.2025.106151","DOIUrl":"10.1016/j.enganabound.2025.106151","url":null,"abstract":"<div><div>Brain tumors are among the deadliest types of cancer and the most challenging to treat. Predicting the growth behavior of tumors can help physicians choose the best treatment program. Herein, a numerical technique based on the meshless radial point interpolation methods is presented for simulating the growth of brain tumors under the effects of radiotherapy and chemotherapy. In this work, the stress field induced in the brain due to tumor growth and its effect on tumor diffusion is analyzed. In the meshfree method, to obtain the system of discrete equations, the weak-form of the coupled nonlinear system of governing equations is developed. Part of the simulations is based on clinical data obtained from other research; additionally, data found in the literature is used to validate the results. The effects of various conventional treatment programs, with and without considering the effect of the stress field in brain tissue, are analyzed and compared. Furthermore, the order of radiotherapy and chemotherapy treatments is investigated. It is shown that when the stress effect is considered, the points with maximum stress are where tumor growth is highest. After the cell density reaches its maximum value at these points, growth is transferred to the surrounding areas.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"173 ","pages":"Article 106151"},"PeriodicalIF":4.2,"publicationDate":"2025-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143348206","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
Scattering of spherical P-waves by three-dimensional cavity in an elastic half-space
IF 4.2 2区 工程技术
Engineering Analysis with Boundary Elements Pub Date : 2025-02-06 DOI: 10.1016/j.enganabound.2025.106137
Songlin Hu , Jianwen Liang , Zhenning Ba , Zhongxian Liu
{"title":"Scattering of spherical P-waves by three-dimensional cavity in an elastic half-space","authors":"Songlin Hu ,&nbsp;Jianwen Liang ,&nbsp;Zhenning Ba ,&nbsp;Zhongxian Liu","doi":"10.1016/j.enganabound.2025.106137","DOIUrl":"10.1016/j.enganabound.2025.106137","url":null,"abstract":"<div><div>This study adopts the indirect boundary integral equation method (IBIEM) to solve the scattering of spherical P-waves by a three-dimensional (3D) cavity in an elastic half-space. Specifically, the free field of the spherical wave is obtained by the method of full space superposition. Based on the single-layer potential theory, the scattered field is constructed using concentrated force sources applied on the fictitious wave source surface. Our method’s numerical accuracy and stability are verified by comparing it against existing results. Additionally, considering a spherical cavity in a half-space as an example, this study investigates the influence of the wave source orientation, incident wave frequency, distance between the wave source and the cavity, and cavity depth on the surface displacement and dynamic stress concentration factor (DSCF) on the cavity surface. The results indicate significant differences in the spatial distribution characteristics of surface displacement and DSCF on the cavity surface for different wave source orientations and cavity depths. As the incident frequency increases, the spatial oscillation of surface displacement near the cavity intensifies, and the DSCF gradually decreases. As the wave source approaches the cavity, the amplification effect of surface displacement near the cavity becomes more apparent. At the same time, the maximum DSCF shows significant non-monotonic variation, and its position also changes accordingly. When the distance between the wave source and the cavity is large, the spherical wave can be approximated as a plane wave.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"173 ","pages":"Article 106137"},"PeriodicalIF":4.2,"publicationDate":"2025-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143308580","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 hybrid FEM-Meshless approach for dynamic analysis of homogeneous and inhomogeneous structures
IF 4.2 2区 工程技术
Engineering Analysis with Boundary Elements Pub Date : 2025-02-06 DOI: 10.1016/j.enganabound.2025.106135
Redouane El Kadmiri , Youssef Belaasilia , Abdelaziz Timesli
{"title":"A hybrid FEM-Meshless approach for dynamic analysis of homogeneous and inhomogeneous structures","authors":"Redouane El Kadmiri ,&nbsp;Youssef Belaasilia ,&nbsp;Abdelaziz Timesli","doi":"10.1016/j.enganabound.2025.106135","DOIUrl":"10.1016/j.enganabound.2025.106135","url":null,"abstract":"<div><div>In this article, a hybrid FEM-MESHLESS method for dynamic analysis of homogeneous and inhomogeneous structures is developed. This hybrid method has already been shown by El Kadmiri et al (2021, 2022, 2024) for static analysis of homogeneous and inhomogeneous structures. To verify the proposed method for studying the dynamic response of homogeneous and inhomogeneous structures, a study based on small deformations theory is presented by comparison with the results of finite element method and those of analytical solutions. In addition, numerical tests are carried out to demonstrate the reliability and performance of the proposed algorithm by establishing a convergence study using regular and irregular discretization schemes.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"173 ","pages":"Article 106135"},"PeriodicalIF":4.2,"publicationDate":"2025-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143308581","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
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