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International Journal of Computational Methods最新文献

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A Boundary Node Method for Solving Interior and Exterior Acoustic Problems 解决室内外声学问题的边界节点法
IF 1.7 4区 工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2024-02-27 DOI: 10.1142/s021987622350041x
Mohammed Afzal Rafiq, I. R. Praveen Krishna, C. O. Arun

The Boundary Node Method (BNM) is a meshfree scheme for solving Boundary Integral Equations (BIE). BNM simplifies the problem at two levels. Primarily, as BNM aims to solve the integral form of the governing equation, is reduced dimensionality of the problem by one order. Additionally, the mesh-free scheme eliminates the need for meshing, proving particularly beneficial for problems involving complex geometries. In this study, BNM is formulated using Element Free Galerkin (EFG) scheme to solve interior and exterior problems in acoustics. A 3-dimensional linear basis is used to construct moving least square shape functions. This eliminates the need to define additional local or parametric coordinate systems, making the method easily applicable to any arbitrary geometry. To illustrate the capabilities of the proposed method, four example problems are solved. An open pipe at resonance and a simple expansion muffler are analyzed to validate BNM’s performance in solving interior problems. Radiation from a pulsating sphere and radiation from a sphere with harmonic velocity excitation are analyzed as examples of exterior problems. Results from all four sample problems indicate that the BNM scheme proposed for solving acoustic problems is accurate and robust.

边界节点法(BNM)是一种用于求解边界积分方程(BIE)的无网格方案。BNM 在两个层面上简化了问题。首先,由于 BNM 的目标是求解治理方程的积分形式,因此将问题的维度降低了一阶。此外,无网格方案消除了网格划分的需要,对于涉及复杂几何形状的问题尤其有利。在本研究中,BNM 采用无元素伽勒金(EFG)方案来解决声学中的内部和外部问题。三维线性基用于构建移动最小平方形状函数。这样就无需定义额外的局部或参数坐标系,从而使该方法可轻松适用于任何任意几何形状。为了说明所提方法的能力,我们解决了四个示例问题。分析了共振时的开放管道和简单的膨胀消声器,以验证 BNM 在解决内部问题方面的性能。作为外部问题的例子,分析了来自脉动球体的辐射和来自具有谐波速度激励的球体的辐射。所有四个示例问题的结果表明,为解决声学问题而提出的 BNM 方案是准确和稳健的。
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引用次数: 0
An adaptive PML finite volume algorithm for the scattering by periodic gratings 周期性光栅散射的自适应 PML 有限体积算法
IF 1.7 4区 工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2024-01-05 DOI: 10.1142/s0219876224500014
Zhoufeng Wang, Yao Cheng
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引用次数: 0
New numerical iteration schemes based on perturbation iteration algorithms 基于扰动迭代算法的新数值迭代方案
IF 1.7 4区 工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2023-11-24 DOI: 10.1142/s0219876223500408
Mehmet Pakdemirli
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引用次数: 0
Identification of vivo Material Parameters of Arterial Wall based on Improved Niching Genetic Algorithm and Neural Networks 基于改进型遗传算法和神经网络的动脉壁活体材料参数识别
IF 1.7 4区 工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2023-11-17 DOI: 10.1142/s0219876223500391
Luming Zhao, Jianbing Sang, Lifang Sun, Fengtao Li, Huaxin Xiang
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引用次数: 0
Adaptive IQ and IMQ-RBFs for Solving Initial Value Problems: Adams–Bashforth and Adams–Moulton Methods 用于解决初值问题的自适应 IQ 和 IMQ-RBF:亚当斯-巴什福斯法和亚当斯-莫尔顿法
IF 1.7 4区 工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2023-11-10 DOI: 10.1142/s0219876223500329
Samala Rathan, Deepit Shah, T. Hemanth Kumar, K. Sandeep Charan

In this paper, our objective is primarily to use adaptive inverse-quadratic (IQ) and inverse-multi-quadratic (IMQ) radial basis function (RBF) interpolation techniques to develop third and fourth-order methods such as Adams–Bashforth (AB) and Adams–Moulton (AM) methods. By utilizing a free parameter involved in the RBF, the local convergence of the numerical solution is enhanced by making the local truncation error vanish. Consistency and stability analysis is presented along with some numerical results to back up our assertions. The accuracy and rate of convergence of each proposed technique are equal to or better than the original AB and AM methods by eliminating the local truncation error thus in that sense, the proposed adaptive methods are optimal. We conclude that both IQ and IMQ-RBF methods yield an improved order of convergence than classical methods, while the superiority of one method depends on the method and the problem considered.

本文的主要目的是利用自适应反二次(IQ)和反多二次(IMQ)径向基函数(RBF)插值技术来开发三阶和四阶方法,如亚当斯-巴什福斯(AB)和亚当斯-穆尔顿(AM)方法。通过利用 RBF 中的自由参数,使局部截断误差消失,从而增强了数值解的局部收敛性。我们提出了一致性和稳定性分析以及一些数值结果来支持我们的论断。通过消除局部截断误差,所提出的每种技术的精度和收敛速度都等于或优于原始的 AB 和 AM 方法,因此从这个意义上说,所提出的自适应方法是最优的。我们的结论是,与传统方法相比,IQ 和 IMQ-RBF 方法都能产生更好的收敛阶次,而一种方法的优劣取决于所考虑的方法和问题。
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引用次数: 0
Toward Development of a Plate Discrete Element Method: Geometry and Kinematics 平板离散元法的发展:几何与运动学
4区 工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2023-11-10 DOI: 10.1142/s0219876223420021
Jian Chen, Dominik Krengel, Hans-Georg Matuttis
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引用次数: 0
Geometrically Non-Linear Analysis of Beam-Reinforced Thin Plates Using the Methodology of Groebner Bases 基于Groebner基础的梁加筋薄板几何非线性分析
4区 工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2023-11-07 DOI: 10.1142/s021987622342001x
Y. Jane Liu, John Peddieson, Stephen Idem
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引用次数: 0
An ANN-BCMO Approach for Material Distribution Optimization of Bi-directional Functionally Graded Nanocomposite Plates with Geometrically Nonlinear Behaviors 几何非线性双向功能梯度纳米复合材料板材料分布优化的ANN-BCMO方法
4区 工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2023-11-07 DOI: 10.1142/s0219876223410104
Paowpat Pensupa, Toan Minh Le, Jaroon Rungamornrat
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引用次数: 0
A Smoothed Point Interpolation Method for the Timoshenko Beam Timoshenko光束的平滑点插值方法
4区 工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2023-11-07 DOI: 10.1142/s021987622350038x
Felipe Pereira dos Santos, Enzo Marino, Lapo Gori
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引用次数: 0
A new approximation method for multi-pantograph type delay differential equations using Boubaker polynomials 用Boubaker多项式逼近多受电弓型延迟微分方程的新方法
4区 工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2023-11-03 DOI: 10.1142/s0219876223500342
Suayip Yuzbasi, Beyza Cetin
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引用次数: 0
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International Journal of Computational Methods
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